Transcript for:
Compound Interest Overview

Hello our dear brother. how are you all People? My friend if you have a compound Interest is a little less than compound interest Am scared. You are in the calculation of questions You get trapped. If you make it using the long method then It takes you too much time to solve one question. So From today this problem of yours will be over. Because it is the best on the whole of YouTube Compilation is very simple and smart all types are same single with concept I am covering the compound in the video I am going to create a ruckus about my interest My friend brother our batch is going on Maths Entire batch 30 days live class in this Hum Percentage Ratio Profit Loss Discount Time and work simple interest everyone has read Are. Today we are going to study compound interest Are. If you go to our channel, you can go here We have created a playlist. this playlist You can go there and find videos of all previous classes I will meet you friend. Arithmetic Our Approximately It is about to happen. next week our whole There will be arithmetic and number system. Correct is it yes? So look, I am on my side I am lying down. I try to do the same thing There are 20 types of complete chapters in the class, 25 It is type, let everything be done and in today's class too We have covered more than 20 types of questions do. Class PDF and Board PDF Along with this we are posting it on our Telegram channel have been. like I did in last class I taught simple interest. its pdf also and this is from the class my friends Here is the board PDF as well. you from here You can download it. of Telegram channel You will find the link in the description. Mock Keep testing. Is it Friday today? Tomorrow Saturday is Sunday. Application for 48 hours Live test will come. and also of SSC And also of the railways. ok sir. Look at this SSC CGL Tier 1 All India Live Test 10 Now Till now I have conducted nine live tests. These There will be a 10th live test. 60-70 thousand children Come and take the live test. And this is what it is In the race to get a job. The rest is just a crowd son was born to fill forms Is. So you can go and attempt this live test Please do it. Register now here And it will become public tomorrow morning. 48 hours You have the time. Is that okay my brother? Download the application. For free we Everyone is getting live tests done. I I am getting its solution done as well. ok then Are you ready to read? Compound Interest of children from very basic Video for those who are reading for the first time It is beneficial. The children who are my brother revision I want to do too much for them It is beneficial. Ok? Those children who follow their method For those who want to improve even more It is beneficial. So, children of all categories are in this can see the class. Let us begin, my brother. Compound Interest compound interest copy pen sit me Brother. See We taught you a concept in percentage Was. Successive percentage change. Compound interest is not something new. Compound interest means successive Percentage increase. consecutive percentage Growth. Simple interest means The difference between simple interest and compound interest There is a difference of just one thing. in simple interest Interest is accrued only on the principal amount. In compound interest, only the principal is also You will get interest. Interest will also be paid on the principal amount And you will get interest on interest also. Compounding in Compound Interest means interest on principal as well as interest on But interest also. about compound interest Einstein said that this is the world's It is the eighth wonder. There is such a deep concept These. So if you want successful percentage If you do not understand the concept of increase then you don't read compound interest my dear you will find it. So compound interest is nothing new Not there. Successful percentage has increased. And I explained to you three ways to be successful. One is worth 100 rupees. one of my dear friends we taught you the formula method and one I have told you about the ratio method. These All three methods are within compound interest are also used. ok sir? So the most First, let us understand the difference. Simple Interest And what is the difference between compound interest? Is that okay my friend? Listen carefully. First let me explain some theory. His Then my dear brother we come to the questions Will go. I take examples of my own choice Am. Children, we have written this here Simple interest means ordinary interest. What is simple interest? let's assume ₹100 is the principal. The rate of interest is 10% Enum. Suppose my dear brother you have deposited ₹ 100 Invest on simple interest. Of interest The rate is enumerated at 10%. 10% means every year you You will get 10% interest on the principal. If If the principal is ₹100 then how much will you get in the first year Will I get interest? 10% means ₹10 on ₹100 There will be interest. So what is the amount Will you go? This amount will become Rs 110 after 1 year. How much interest will I get next year as well? next year You will also get ₹ 10 interest. Principal 100 Is. 10% of principal ₹100 = ₹10 interest will get. The amount will become 120. Third Year There will also be interest of ₹10. It will become 130. You will get ₹10 interest in the fourth year also. then the amount It will become 140. Did you understand my brother? So that means my friends if you have simple Invest ₹100 on interest. Of interest If the rate is 10% then what will it be after 4 years? 4 After a year ₹100 will become ₹140. That means 4 You will get 40% interest per year. Simple ₹10 = ₹10 = ₹10 equal to interest per year Interest is received. it happens to be simple interest. Now you know compound interest what is it my brother? What is CI? Value Here you go kids, invest ₹100 in one In the bank. If the rate of interest is 10% then in the first year What will happen, my brother? what in first year will be? First year principal ₹100 you get ₹100 10% of ₹ What is 10% of ₹100? ₹10 You will get interest. You will get ₹10 interest on ₹100 So what will the amount be? 110 this 110 1 The amount is after the year. this is after 1 year The amount is 110. That is, if you look carefully at the first year in simple interest and our compound There is no difference in interest. Beans Is. Here also I got ₹10 interest in the first year. Here also I got ₹10 interest. The real story of this Will turn back later. You invest ₹100. 10% in a year There is interest. So in the first year, 10% of ₹100 is ₹10 You will get interest. Add ₹10 to ₹100 The amount will be ₹110. this is after a year The amount is. Let me tell you one thing that after one year That amount is for the future is the principal. Principal of second year will be. The amount after one year will be the second amount. Will be the Principal of the year. i.e. second year The interest you will get is not on ₹ 100 will get. You will get interest on this ₹110. That means how much is ₹110 in 110 second year 10% 10% of ₹110 is ₹11 in the second year Subtract two zeros from 10% of 110, Rs. 11 If you get interest then what will be your amount Will you go? Add 11 to 110, get ₹121 in 2 years Later the amount was settled. This amount after 2 years It is done my dear brother. 121 is the amount after 2 years. which after 2 years The amount is for the future time i.e. Is principal for the third year. So the third No interest will be given on ₹100 per year. This ₹121 But interest will be received. you will say yes sir absolutely Correct. How much interest will I get in the third year as well? 10% Now what is 10% of ₹121? of 121 Divide 10% by 10, 12.1 then in the third year You will get 12.1 You will get interest. What will be the amount if you add 12.1 to 121 Will you go? the amount will be done my dear brother 133.31 This is the amount after 3 years. this is after 3 years If the amount is there then for the further time in the fourth year is the principal for. That is, in the fourth year, 133.1 But interest will be received. How much? 10% of 133.1 How much is 10%? Divide by 10. 13.31 So in the fourth year you will get Rs 13.31 crore Interest is received. 13.31 out of 133.1 Add. If you add interest to the principal then the amount what will come? 146.41 This is the amount after 4 years. this is after 4 years This is the amount my dear brother. That means this is shall be the principal for the fifth year onwards and such The story will go on, my friend. That means that You learned one thing here that after a year The amount is the principal for the second year. The amount after 2 years is that of the second year is the principal for. The amount after 2 years, sorry, that is the third year is the principal for. The amount after 3 years He is my principal for the fourth year Brother. Clear, you will say yes sir, absolutely clear. That is, the interest here keeps increasing every year. Used to be. Got ₹10 interest in the first year. Others You got ₹11 interest per year. Third year 12.1 Received interest. and fourth year 13.31 Received interest. Compound in Simple Interest This is the difference in interest. Simple Interest The interest is equal every year. 10 10 ₹10 In compound interest, the interest increases every year My brother is going. Why? Because Compound Interest Successive Percentage There is an increase. Isn't it successful? First ₹100 was increased by 10% and it became ₹110. Then 110 was increased by 10% to 121. then on 121 Increased by 10% and came to 133.1. then 133.1 by 10% Increased. 146.41 I have arrived. That means this successful percentage It is increasing. You will say yes sir. You tell me this, how much interest you will get How much did you get in 4 years? ₹100 146.41 became. If you invested ₹100 and it became 146.41 then you 46.41 Interest received on ₹100. This is the percentage In. So you will get 46.41% in 4 years Received interest. So the simple interest in 4 years How much did you get? 40%. Same data at 10% interest rate. But 4 How much compound interest did you get in a year? 46.41% That's why compound interest is always simple You get more than interest. My brother Did everyone understand what I said? you will say yes Sir, everyone understood your point well. Compound interest is always simple interest It will be more than. one thing i next concept Tell me. If the rate of interest is enumerated at 10%. so what does that mean? It means Tell me what will be the multiplication factor? Interest The rate is enumerated at 10%. this means every year Your money will grow by 10%. When I to you Let me say the rate of interest is 10% per annum. This means your money grows by 10% every year. Will go. If we increase any number by 10% then What will happen? Every number is 100%. 10% If you increase it, it will become 110%. What does 110% mean? It equals 1.1 Divide 110 by 100 1.1 If I multiply it by 1, then my multiplying factor will be 1.1 Brother. You can see in compound interest which The amount is in GP. If interest The rate is enumerated at 10%. Enam is at 10%. Its Meaning your money will multiply 1.1 times every year. Try it, my brother. ₹100 was your interest. Received 10% interest. multiply 100 by 1.1 do. 110 has arrived. Next year again 10% Received interest. We will multiply 110 by 1.1 121 has arrived. Then got 10% interest in the third year. If we multiply 121 by 1.1, we get 133.1. 133.1 is then multiplied by 1.1 to get 146.41 Went. That means it is multiplied by 1.1 every time She goes. Therefore in compound interest, The amounts are in GP. are in geometric progression. What is the ratio here? 1.1 Did you understand the point? Let's see, this is the most important concept to understand It was necessary for you guys. ok sir. Compound interest is successful in running my Brother. How much simple interest did you get? 40% I took the example of enum at 10%. How much time did I take? 4 years time I took it, son. I did it for 4 years. But how much did the compound test yield? 46.41%. Listen carefully my dear brother. all the children Listen carefully. This success percentage is continuously increasing Is. The rate of interest I have charged is 10% To explain. How much interest in 4 years will get? 10 10 10 10 Successful of 10% 10% 10% 10% Successful of So the interest you will get in 4 years is 10 10 You will get success of. tell me one thing son 10 And the success rate of 10 is 21%. Because 10 and 10 when you succeed What is the formula? x + y + of x and y This is the formula x * y / 100. So 10 And how much will be the success rate of 10, my brother? Two zeros will be subtracted from two zeros. 20 and one 21% So 10 10 successive 21% interest. Look at this Here also success rate of 10 out of 10 is 21% Interest. Is it clear? Now this is 21 and this is 21 21 will have to be made successful again. 212 21 What will be the success of this formula? 21 + 21 + 21 * 21 / 100 21 + 21 comes to 42 and 21 * 21 441 / 100 That is 4.41 then 42 and 46.41% Did he come or not, my brother? That means that Compound interest is nothing. Successive The formula of has to be applied. four of 10 10 10 Bar success only 40.41% It is equal to compound interest. Me Looks like all the brothers' doubts have been cleared Will be. The amounts in compound interest The amount which is an alloy is in GP Are. Let me explain with an example. two examples So my dear brother, I will give you two examples Let me explain. If you understand one thing once you understand this concept If you go, you will start enjoying the questions. Value Let the rate of interest be 20% per annum. Value The interest rate is 20% per annum. You invest ₹ P then tell me after 1 year What will be the amount after that? If the rate of interest 20%, it means that every year You need to increase the principal by 20%. it is 100% So we have to increase it by 20% to make it 120%. of 120% It means 120/100 i.e. 1.2 times. If the rate of interest is 20% then the multiplying The factor will be 1.2. Multiply by 1.2 every year It will be. If you invest ₹ today in me dear brother what will be the amount after 1 year will be? multiply 1.2 by 1.2p What will be the amount after 1 year? 1 of her After a year the amount will again be multiplied by 1.2. 1.2 We have to keep multiplying by 1.2. So look If we multiply 1.2p by 1.2 then it becomes 1.2 The square will come. You will say yes sir. Then Tell me what will be the amount after 3 years? then 1.2 Will be multiplied by. 1.2 squared then multiply 1.2 by 1.2 If you multiply then power gets added to the multiplication If it is then the cube will be 1.2. you will say yes Sir. That is, after how many years you want to withdraw the amount is the same power as the multiplying factor will come. After 1 year, the amount to be withdrawn is Rs. 1.2 Power one. Amount to be withdrawn after 2 years 1.2 Square of. I want to withdraw the amount after 3 years 1.2 power 3 if you understood then comment Write yes in it. Say if the rate of interest is 20% per annum then My brother means it would be 1.2 times every year Will go. Will you invest P today? After 1 year 1.2p Next year onwards again multiplied by 1.2 Square P after next year again multiplied by 1.2 Cube P of 1.2 then multiply by 1.2 for the number of years After that, the amount to be withdrawn is same as the power Must be. Okay, this is easy data. If difficult Let the percentage come. Suppose the rate of interest is 16 Enum at right 2/3%. You have invested P Do it. So tell me what will be the amount? So 16 Correct 2/3% is the typical percentage. This Convert it into fraction. its fraction The value is 1/6. 16 Correct 2/3% Fraction value 1/6. If the rate of interest is 16 correct is 2/3% so that means every year You need to increase it by 1/6. Every year you have your The money has to be increased by 1/6. Brother every number It is a forest in itself. If you are 1/6 If you increase it, what will be the multiplication factor? 7/6 Every number is one in itself. Forest If you increase it by 1/6 what will it become? 7/6 If you invest p my brother then Tell me what will be the amount after 1 year? 1 Years later 7/6 multiplied by 7/6 will be 7/6p multiplied by 1 What will be the amount after a year? 1 year after that That means what will be the amount? 2 years later What will happen? then again multiply by 7/6 It will be. We will multiply 7/6p by 7/6. 7 / The square of 7/6 will become p. Then 1 of his What will be the amount after a year? then for the third time Will be multiplied by 7/6. Are? 7/6² in p then Will be multiplied by 7/6. The cube becomes 7/6. That is, after how many years the amount has to be withdrawn The same power of the multiplication factor I will offer it. tell my brother Did you understand it? I think all kids will like this I have understood it from. ok sir. Now I Let me ask you one thing. Please tell me this. If the rate of interest is 8.33% then after 8 years and after 5 years the amount What will be the ratio? What will be the ratio? Sir, get the ad removed from live. Keshav who is this Are you talking about C Aid? YouTube Add-on If the rate of interest is 8% then look at the compound interest If you want to study then you must complete the percentage and ratio Needed Percentage ratio is not available. Compound Forget about interest also. If the rate of interest is 8.33% then after 8 years and after 5 years the amount What will be the ratio? First read the percentage and then compound You have to read it with interest. hey tell me How are you, brother? If the rate of interest is 8.33% But it is enum. You agreed to invest Rs. Did. You invested ₹ in ICICI Bank 8.33% At the rate of interest. so tell me this 8 years What will be the ratio of the amount after 1 year and 5 years will be? There are such children. You guys can't do it. Rate of Interest 8.33% Is. Its fraction value is 1/1. it I taught you in percentage class Am. Rate of Interest 8.33% Is 1/12. This means every year you get your money back Have to increase by 1/1. 1/1 See, every number is multiple of itself. If you increase it by 1/1 it means you will get 13/12 Have to multiply. The multiplication factor will come Children 13/12. Tell me, do you understand? Multiplying Factor I agree that you should invest Rs. If you have invested P then after 8 years What will be the amount? Multiplying factor 13 / 12 to the power 8. Tell me, did you understand? 5 years later What will be the amount? Brother Principal yours P Is. If you want to withdraw the amount after 5 years then What will you do with the power of a multiplying factor? Five will do, my friend. The number of years after which the amount has to be withdrawn You will add the power. You should look carefully at this P to P will be cut and power in divide what happens? Power reduction in divide They go away. 13/1 is the base bean. Power in part will decrease. So what will happen to this? 8 - 5 That means 13/1 of cube. Cube of 13/1. you will say yes sir Correct. So you saw my friends that brother I I asked you, the rate of interest is 1/12. 8 years After 5 years the ratio of amount after 8 years and There is a gap of 3 years in 5 years. 8 years and 5 There is a gap of 3 years in a year. so is the power How much has come, son? Three. that means my brother The more the gap between years, the more power you will have Have to offer it. Its logic is that the 5 years The amount will be the same after 3 years. The amount after 5 years my dear brother He will be eight after three years, my brother. This only This money will increase to this amount in the next 3 years Will go. That means my brother is 3 years old Multiplying factor you have been asked. If If there is a gap of 3 years here then nothing happens to you to do. Raising a Multiplying Factor to the Power of Three Was. Now all kids know the cube of 13 Tell me the cube of 2197 and 12, 1728. clear Is it kids? Did everyone understand the point? So much I don't know this. what have you guys read Brother? And how do you expect to get a job? to go? Ok? So there is a gap of 3 years in time here. We will ask you the amount after 8 years, after 5 years Asked. So what will come? Multiplying Factor Key Power three. is coming up. this is 3 years old Multiplying factor. Multiplying Factor That means how much your money will multiply every year It happens? May your money double every year Used to be. Two multi-injectors. Every year your The money is getting multiplied 10 times. 10 Multipaying Factor. Did you understand it? you will say yes sir Correct. Everybody understands this Went. I will tell you the first and foremost thing about compound interest. I am asking the most basic type of question, my friends. The first and most basic type of reverse I will ask a question. Reverse question. just Tell me my friends. tell me this first. Question number two. First you tell me this Any amount owns 1331/729 in 3 years It gets multiplied. What is the rate of interest? Question came in Delhi Police Constable 2023 Was. Any amount in 3 years 1331/729 It gets multiplied. rate of compound interest Tell. You earned some money in compound interest Invest in compound interest. 3 year Your money in 1300 Own 1331/729 It gets multiplied in 3 years. means you You will invest ₹729 and it will become ₹1331 after 3 years It will come out. What is this? this is 3 years old There was a multipiping factor. 3 years old. to you Asked rate of interest. Whereas whenever the interest If asked the rate then you can buy 1 year multipay Factor in how much money you have each year How many times will the money multiply? if in 3 years 1331/729 The multiplication is happening. Compound interest works How much power will it have in 1 year? Its Will have to do cube root. cube root I have to go from 3 years to one year. Cube Root have to do it. Removal of one year from 4 years yes we will have to do fourth route. 2 years to one I have to take out the annual amount and it will have to be done under route. That means every year your money will be worth Rs. 1331 crore. cube root of 11 729 cube root 9 denominator Your money will multiply 11/9 times in a year. 11/9 times means you will invest ₹9 for 1 It will become 11 after a year. So how much interest will you get will get? You will get ₹2 interest on nine. would be 1/9 is 11.11% So 2/9 will come to 22.22% So 22.22% That means the first option becomes the rate of interest. Tell me We have told you in full detail in writing. You should not do all this in the exam. it its This is the answer only. Ok? Come on, ask me the question. One more First let's see who can answer this question Is. At what rate of compound interest a sum of money grows 3.375 compounded in 3 years It gets multiplied? What is the compound interest rate A sum of money becomes Rs. 3.375 in 3 years at the rate It will be multiplied my brother. 3.375 Times. Tell me what is the rate of interest? if the compounding Any sum of money at compound interest on interest It becomes 3.375 times in 3 years. these 3 The multiping factor of the year is 3 years. So Your money is multiplying so much in 3 years Is. What will happen in 1 year? its cube root I will have to take the cube root in 1 year. Tell 3.3 What cube is 3375? Of 15. 15 of cube. 3375 my brother i.e here There is a decimal place after three digits, this is 1.5 Multiply means every year your money grows by 1.5 times It will be multiplied. What is 1.5 times? 150% 1.5 times means 150% one means 100% 15 means 150% if your Money is growing 150% every year. 100% to 150% If it is happening then it is increasing by 50% every year What is the rate of interest? forests at 50% and every year Did you enjoy it, you will say yes sir, it was absolutely fun The next concept is here, please understand it my brother. Understand the concept of compound interest game Power is the game of compound interest, power itself is the game of power what is it my brother suppose the children are at your house Suppose a policy seller comes in The policy seller comes to your house The person selling the scheme says, Bhai sahab You invest money in our policy. We are every 3 We will double your money in a year. Your Neither does a policy seller come to the house From the bank. He says ours is new The bank is open. You can deposit the policy in our bank Buy it. We double your money every 3 years I will do it. every 3 years every 3 years Double. Every 3 years I double my money Brother. Then your father will say okay 3 You will double it in a year. Our Bittu is 9 now He is years old. This will happen for 18 years. In 9 years How much will you pay? then if you invest the money every 3 years If you are doubling it then how much will you earn in 9 years Will be done? Tell me quickly. In 9 years if you Invest ₹1 and it will double in every 3 years My brother will be two in 3 years. then the next In 3 years it doubles again 2 * 2 = 4 Will go. Doubled again in next 3 years 4 * 2 = will become 8. That means if you invest ₹1 If I invest then how much will I get? ₹8 So the fruit of patience is sweet. if 3 more years If your father had waited for 3 more years he would have stayed If we go further, it will double, then how much Will it happen my dear brother? ₹16 Viewing yes? It increased eight times in 9 years. 12 years three Three three three became 16 times in 12 years. Your money will grow tremendously Go. That means my dear brother if you understand this Someone selling a policy tells you that You invest money in our policy. every 3 years I will double your money and give you I ask you, how many times will it increase in 9 years Will you go? So look, the time has tripled. 3 9 times the time in a year has become three times. If You have tripled the time so the power is three It will be multiplied my brother. times the time The more you do it the more power you will have. if every 3 years If it is double in 9 years then 2 to the power 3 8 The child will multiply. Assume a policy The seller says you give us the money Apply. We will multiply it five times in t years In the year. So tell me what will happen in 2t years Will you go? If you invest time on compound interest If you double it, it takes double the time my dear Brother, the square of 5 will become 25 times. Tell How much will your money multiply in 3t years Will you go? Tell me in 3t years if you had measured the time If it is tripled then your money is worth Rs. 5 If 3 is multiplied to the power of 3 then it becomes 125 times Brother, will anyone have any doubt I understood it I understood it well my brother is selling policies When the person comes to you, he says, brother Invest your money with us and we will return your money every 3 years Your uncle will double your uncle's money The boy comes out. he says bro Leave all this. Tell me how much interest will you pay? How much will you rate? What is the rate of interest? Please tell me what is the rate of interest? Brother, the person selling your policy is your father. He is teaching policy. uncle's dick came out came. Brother, you will double the money in 3 years. Tell me how much interest are you paying? in 1 year How much interest percentage are you paying? please tell me. What is the rate of interest in 1 year? Tell me just. I have asked a very logical question. Children should read the complete chapter on compound interest And they leave. And I'm every 100 kids I can find 90 children who have He is not in a position to tell that every The money is doubling in 3 years. One The policy guy is your father who sells policies And he went away. Tell me the rate of interest in one year What is? What is the rate of interest? Complete He read the compound test chapter. But I am not capable of telling this to you, child of. They are saying 20%. See 20% Hey, he is the ultimate member of the Kachra Gang. run run run if compound interest It is such a deep and heavy thing. if the manner If you want to study then it takes 40 hours In studying compound interest. when I I teach my brother and only get him to question me not for in life but in real life You will be able to calculate the compound interest. 33.33% I am telling you. This is not the property of any child Is. Teach from anywhere. tell me what are you reading Is it the people of our country? This is garbage. Nothing Comes. Why are you like this? all corona Impression. He read the compound test. These It is not known if a policy holder will be able to provide you with Brother, he is going to sell the policy to his father Sir, by doubling your money every 3 years Give. Uncle's son asked brother How much interest will it pay? You talk straight every year Tell me. Brother, I am not able to withdraw the interest. Hey Chappadganju if your money doubles every 3 years If it is happening then how many times will it increase in 1 year? In 1 year? Cube root? cube root of 2 cube root of 2 Double in 3 years and become three in 1 year we have to route the time cube and the other two Cube root means cube root of two means cube Route 2 Your money has multiplied so much in one year This means the cube root of 2 / 1 / 1. That means if you had invested ₹1 then it would be ₹1 Evil ones, cube root 2 happens after 1 year Will go. If you had invested ₹1 then after 1 year the cube will be It will become 2. So how much interest will you get? Cube 2 - 1 interest received in 1 year. ₹1 Cube 2 is created. How much interest did you get? Cube 2 - 1 for how much? At ₹1. Percentage How much in? Multiply by 100% then the rate of interest will be Went. Look at its face, this is its interest rate Is. Cube root 2 - 1 * 100% If someone comes to your simple father The policy person should sell it to you or tell you the policy I have to buy it. Tata's new one has been launched. The rate of interest will be the cube root of 2 - 1 * 100% your father will buy the policy. tell just When he says bring the stick from behind drive this away won't you say that Lyrics will say such If you say this then that is why my brother sometimes There is no need to mention the rates. Direct calculation It is told that your money will be returned every 3 years It will double as soon as the rate is told My father took out a stick and started beating him. Because the rate of interest is in 1 year Cube root 2 - 1 * 100% Ok Now I understand it The child passed out after studying the compound test He searched for the class on YouTube and what else the status is that he doesn't know how to do it I don't know what you have learned, nothing Learnt it son, everyone should make your day crazy If you want to learn Roar Compound then I will teach you what happens ok sir If you understood then write yes in the comment okay because if you understand this then That's why we will get the next one typed. be a type Already happened. Type number two will come in front of you. By quickly solving questions based on this type You guys show it to me. Question number three. A sum of money triples in 8 years Is. So you asked in how many years it becomes 243 times Will she go? any amount of money In 8 years If it becomes three times then it takes 243 times how long will it take? Look, any amount is three It is getting multiplied in 8 years. every 8 years It will become three times. So 243 times 243 How long will it take to get the times? of 243 It means my brother 3 * 3 = 9 * 3 = 27 * 3 = 81 3 = 243 3 to the power of 5 all children who knows. So let's delay 243. Yes dear It is taking 8 years to triple. So I want to increase the power five times. Power If we add 5 to the power of 5 then the time also becomes 5 of 8 It will take multiples. 40 years is 40 years time It will take place. This is the answer, son. Please move ahead. Tell me this. no money in 27 years If it becomes 64 times then in how many years will it will it become 512 times? Tell me. compounding interest on Are you guys having fun? I had fun. Please like the video. You A sum of money becomes 64 times in a year. In how many years? It will become 512 times. 64 Does your money multiply? In 27 years. Ok. What happened? How many years will it take to become 512 times? just tell me about compound interest Please like it, please like it. 64 means 8 Square. hey 8 to the power 2 equals 64 It took years. then how much will it take to become under 8 times Will it take years? half. If the result of multiplying 64 is 27 If it takes a year then 64 is 8 under. to be eight times It will also take half the time. Half of 27 is 13 1/2 Year. That means every 13 1/2 years, the money grows by eight times. will be multiplied. 512 means 8 Cube. If every eight times happens every 13 1/2 years then Cube of 8. How long will it take for the power to reach three Will it take? Three times. Three times 13 1/2. Have to do power three. It will also take three times the time. Three times 13. 4.5 years. This is the answer. I think all the children have understood. All He is a wonderful boy. Yes sir. Come on friend Listen carefully, child. Next concept my brother, next concept is this You might not even know it. read the compound test Are. The teacher finished his work and left. Went. Children, I do not know what the reality is Used to be? At ground level. all this corona The imprint is a child. Absolutely blank. Ok? You must have noticed that Bhaiya pays interest annually It is getting compounded. be compounded half yearly It is being compounded quarterly. This What does the talk mean? What does it mean? compound interest compounded annually Is. It is being compounded half yearly. The quarterly compounding is taking place. What does it mean? Do you know the actual meaning of this? It does not happen that you reduce the rate by half, time Double it. This is not all. this is it It is something to be memorized. This is rubbish. Junk dealer Tell me the real thing. If the compound interest It is being compounded yearly. Half Yearly Every 6 It is getting compounded every month. every 3 months It is compounding. So what about this does it mean? What about this practically? what is the meaning? practically I will explain it with an example, my brother, an example From. Suppose you invest 40% money The rate of interest is 40% per annum you invest The rate of interest for one year is 40% Enam you invested money for 1 year So what about yearly compounding for one year Means rate of interest is enumerated at 40% What does Yearly Compounding mean? Assume You invested money here for 2 years If the tax is for 2 years then it means that Every year whatever interest is payable every year A new one will be created by adding it to the amount I want to make him the principal. If the time is 2 years Yearly Compounding If you do yearly compounding you are organizing my annual Brother please tell me its mathematical meaning Compounding This means that every year, whatever Interest will be generated, add it to the new amount Make the principal this is what happens if total If the time is 2 years then it means 1 year and 1 There will be a break in the year with good interest rate How much is the rate? 40% means every year you You will get 40% interest. Every year you get 40% You will get interest. every year, which means Compound interest will be the success of 4040 will be. If you invest ₹100 then you will get 1 After a year you will get 40% interest on Rs 100. amount It will become 140. Then next year again you will get 40% interest. 140 What is 40% of? 56. 40% of ₹140 14 * 4 = 56. If you add 56 to 140, How much will the amount be? It will become 196. That means your ₹100 became ₹196 in 2 years. So how much interest did you get? 96% interest found. which what? 40's and 40's Successive. 40 + 40 + 40 * 40 / 100 do you like my Did you understand it? you will say yes sir give me this Zero will be crossed out. 80 + 16 is 96% i.e. every 1 Complete one year first in a year. in 1 year The interest was ₹40. Adding ₹40 interest on ₹100 This is the amount after 1 year. this is for further will be the principal. Next year ₹40 on this ₹140 Interest will be Rs 56. Then this amount became 2 Year later. That means every year whatever The interest will be generated by adding it to the amount I have to keep making him a principal. every single year We have to achieve success. Every single year, the success of Formula will be needed. This is yearly compound. I think everyone has understood. Let us go From here you will be able to understand absolutely everything. If the rate of interest is enumerated at 40%. one year If you have invested money for this then it means This means that ₹100 will become ₹140 after 1 year. But if the interest is compounded half yearly then half Yearly or half yearly compounding would mean it is 6 months. Half year means 6 Half month. If you took 1 year is total in 1 year then it means total The time period to be taken is 1 year only. every 6 months Add interest to the amount and get a new amount I want to make him the principal. Interest every 6 months Add this amount to the new principal Have to make it. If total time is 1 year. you half If you are compounding yearly then 6 months 6 Two cycles will be made per month. 6 month 6 Two cycles will be made per month. 6 month 6 It's been 12 months now. Interest in 1 year It is 40%. 40% then what is the interest in 6 months will be? Half 20% i.e. every 6 months You are to get 20% interest. If you deposited ₹100 If you invest, you will earn Rs 100 in the first 6 months You will get 20% interest i.e. ₹120. this is after 6 months The amount is. This is the amount after 6 months. This is the principal for the next 6 months. i.e That further interest will be available at ₹ 120. 20% of ₹120 It is 24. 20% interest for next 6 months will get. 20% of 120 = 24 what is the amount Will you go? 144 144 means every 6 months You will get interest. Every 6 months The interest you earn in compound interest I will meet you my dear brother. Every 6 months Add whatever interest is there to the amount We will appoint a new principal. make 100 into 120 Gave. 120 to 144 Is it clear? so you see this if ₹100 ₹1 144 If you become successful then how much interest did you get in 1 year? 44% You got the interest. If ₹100 became 144 then How much interest did you get? To compound half yearly But 44% in 1 year Which is the successor of 20 and 20. 20 + 20 + 20 * 20 / 100 20 + 20 + 20 * 20 / 100 two zero two zero It was cut. 40 44% it has come my brother. you will speak Yes sir. That means they were compounding yearly So I got 40% interest in 1 year. Half Yearly When I was doing it I got 44%. Now let's move ahead. What does quarterly compounding mean? Quarter means paa. Paa means 1/4 Year. 1/4 year means 3 months. in 1 year 12 months. 12/4 3 months. So Quarterly Compound means every 3 months It will be successful. Every 3 months interest Adding new principal to principal Will make. Interest amount for every 3 months Sorry I will add in a new principal. If the time period is 1 year then sex will be done every 3 months will be. 3 month 3 month 3 month 3 month. 3 3 It's been 12 months. Now tell me if the interest You are compounding it quarterly. Of interest The rate is 40% if the interest is 40% in 1 year then How much will it be every 3 months? Divide by four 10% interest will be given every 3 months. If If you have invested ₹100 then 3 months I will get 10% interest. 10% interest on ₹100 How much will the amount be if I get it? 110 these The amount is after 3 months. After 3 months This is the principal for next 3 months. Now this 110 will get 10% interest for the next 3 In a month. The amount will be Rs 121. this again Principal for next 3 months. This You will get 10% interest on ₹121. What will happen? 133.1 Principal for the next 3 months Is. Then you will get 10% interest on it. amount How much will it be? 146.41 will increase by 10%. So every 3 months 10% This will be a successful ad, my brother. it This is quarterly compounding. Look ₹100 If it becomes 146.41 then how much interest will you get? found? 46.41 ₹ 100 at Rs 46.41 That is 46.41% You got interest. So you are looking at one thing that when Yearly was compounding, the bean Invest money ₹100. bean money Invest ₹100 my brother. of bean interest The rate is. The same time is 1 year. So Yearly Got 40% interest in 1 year in compounding. Got 44% interest in half yearly. Quarterly I got 46.41% interest. That is, as much as The sooner you compound, the more The sooner you succeed, the more You will get interest. If monthly instead of 3 months Compound it. Add interest every month then you will start appointing a new principal every month I will get more interest. every day Will you compound it? every day from morning to evening You will create a new principal by adding the interest of You will get more interest. I understood my Brother? So this means yearly compounding every New principal after one year by adding interest Have to make it. Half Yearly Compounding Every 6 New principal by adding interest every month Have to make it. Quarterly Compounding Every 3 Add interest every month and make a new payment I want to make him the principal. ok sir. If you compound it 5 months then every 5 months Creating a new principal by adding interest to Is. Ok? I have gone into a lot of detail He taught me by taking time. Now come to question Are. Type number three Rate of interest my dear friend. Interest This type of rate calculator is world famous Is. Interest rate calculator. Tell me this. Question number five. Question number five. What is the question? If interest is compounded annually. Question Read it. If the interest is compounded annually If the amount goes upto Rs. 17,280 then in 2 years At what rate of interest will ₹23,520 will it happen? That is ₹17,280 At what rate of interest will the amount amount to ₹ 23,520 after 2 years The amount will be increased. If the interest is paid annually It is compounded. tell me one thing ₹17,280 Invest it. ₹17,280 The interest is being compounded annually. 2 years Later the amount was settled. ₹23,520 After a year the amount was made. What happened? This 2 This is the multi-piping factor of the year. 2 years old. If this is a 2 year multiplier factor Children then you have to find out the rate of interest Have to calculate the multiplier for 1 year Multiplying factor means in 1 year your Brother, how much has the money multiplied in 2 years ₹17280 ₹23520 How much did the money multiply in 1 year I'll have to take the underroute from zero to zero dear brother 2 3 5 10 2 12 will be cut from me Friends, this is a cube of 12 by 12 will be subtracted 144 times 12 * 1 = 12 and 11 12 * 9 = 108 7 12 * 6 = 72 brother it will come to 196 Under Route 144 the under root of 12 14/ 12 was cut by two from me Friends, this is 7/6 times the value of 1 year, i.e. That your money multiplies 7/6 times every year goes. Your money multiplies 7/6 times every 1 year It happens. That means you will invest ₹6. So after 1 year it will become seven. then interest How much will I get each year? 1/6 and 1/6 It is 16.66% or aprox 16.7% This is the rate of interest. 16.7% The interest rate has arrived. Go ahead, my brother. Tell me this. Do question number six. ₹345600 ₹439400 in 3 years It happens. If nothing is written in the question If it has happened then you should assume that the interest It is being compounded annually. Annual is being combined. Tell me the rate of interest. How much is the principal my dear brother? Principal is 345600. This principal becomes amount after 3 years Is. 439400 So this is the multiping factor of 3 years. 3 Your money is multiplying by this much in a year 3 In a year, how many times does it increase in 1 year Is? I'll have to find its cube root, my brother. Do it with two zeros brother. and the cube root will be otherwise it will not be solved. dirty answer will come. If it is cut by two then the cube root will be given below Will go. It should be made above as well. then 1728 2 * 2 = 4 This 2197 has come my brother. of 1728 What is the cube root of 12 2197? Of 13. That means it is 1 year old now. 1 year Your money is getting multiplied 12/13 times. Its Meaning it will become ₹12.3. so every year How much interest will I get? ₹1 interest on ₹12 will get. If it becomes ₹ 12.3 then how much interest will get? One. And what about 1/1 percent? They say? 8:1/3% 1/12 in percentage 8:13% They say. Come on tell me this kids. Question Seven A sum of money becomes Rs 54000 in 4 years and Rs 54000 in 7 years 59500 It becomes ₹82. Interest compounded annually It happens. Tell me the rate of interest. After 4 years The amount is ₹54,000 The amount after 7 years is ₹59,582 I ask you the rate of interest brother which will be charged after 4 years The amount is the principal for the future. This becomes ₹ 54,000 after 4 years. 7 years After ₹9,582 The amount after 4 years will be the same for future My brother is the principal. you see for yourself ₹54,000 Between 4 years and 7 years 3 years There is a gap of. This is ₹54,000 in the next 3 years ₹9,582 It will be done. This is 54,000 Increased to ₹ 59,582 after 3 years It will be done. This is a 3 year change. 3 year Your money has multiplied so much in 3 years In. So what about 1 year? Cube root. You will have to find the cube root of money every year. Say something simple. You will cut down by two Cube root is done my brother. 27000 above Please cut it. 2 * 2 = 4 a 2 * 9 = 18 2 * 7 = 14 Brother and one more 2 * 9 = 18 2 * 1 = 2 here it is My brother. Anyone have any problems? 27R below cube root of 30 over son greater than Number one is coming in these. Cube of 31 There will be root and nothing else can happen. this one The year has come. That means in 1 year your The money increased from 30 to 31. then how much interest found? 1/30 Received ₹1 interest on ₹30. What is the rate of interest? 1/30 is 3:1 /3% 3:1 /3% So don't worry sir I have given the amount here Is. How to do? hey this is what happened after 4 years The amount is the principal for the future. That means this ₹54,000 will increase in 3 years or This is happening. Take out 3 years, then 1 year Find it by taking the cube root. I think All the children understood. Please move ahead. Question number eight Tell. Do it kids. 8000 compounded at the rate of x% for 2 years Interest ₹988.8 Is. Find the value of x. Look brother it is not necessary every time Just solve the questions. Here the rate of interest given is x%. 2 The time for the year is 2 years. ₹8,000 is the principal. ₹8,000 compounded for 2 years I am interested. This is compounded for 2 years There is interest. Find the value of x. in question I have given you the principal. Add interest I will give. The amount will arrive. Principal gave Is. We will find out the amount after 2 years. Under The answer will come after taking the root. But another approach I teach you. son we will solve the questions through past questions You can also do it like this. Approx Calculate Can do aprox. Listen carefully. Suppose the principal is ₹8,000. ₹8,000 this It is given in the question. Enum at x% rate of interest Is. enum at x%. So how much will you earn in 2 years Did you get the interest, my brother? Interest in 2 years Received ₹988.8000 ₹988.8 in 2 years on a principal of Rs. Received interest. How much interest in percentage found? multiplied by 100% do you understand this are you coming friend? ₹8,000 at ₹988.8 Received interest. So, you will find out that What percentage interest was received on the principal? It will come very easily. two 0 two 0 eight I just have to run away. 8 * 1 = 8 8 * 2 = 16 and 2 8 8 * 3 = 24 and 8 * 6 = 48 and these If there is 10 below then 12.36% I have arrived. That means you will get 12.36% Interest received in 2 years. tell me one thing if 2 12.36% in a year Interest has been received. If the interest is x% per annum then What would have been the rate of interest? any thought also Maybe the interest gets successful after 2 years won't five and five make 12? The sum of seven and seven is greater than 14. Eight is greater than And the success of eight will be greater than 16, six The rate of interest would have been enumerated at 6% because If the rate of interest is 6% then only in 2 years My friends, you will get this much interest 6 + 6 + 6 * 6/100 100 that means my friend it has arrived 12 and 36 / 100 12.36% whether it has come or not and this thought in the mind I don't even need to write it down till the time I write brother I think you all understood this Is. I will tell you one more question on this type. But first, some concepts Then my friends we'll just blow the question Will not do anything else. Look brother, I've told you something that the friend who has compound interest is nothing else Is. Successful percentage is the only success Percentage change. Now success percentage change I have told you the formula for this. Formula That formula is also in compound interest It will take place. Listen carefully. Suppose the value Look brother, the interest rates are different. You tell You deposited some money in a bank. Bank Gives you compound interest. Generaly Only compound interest is applicable in banks. Simple Interest is now closed. accept it You deposited the money in the bank. The bank gives you It is paying compound interest. The first years The interest is x%. The second year is y%. The bank says that brother in the first year we will give you x% Will pay interest. In the second year we give you y% Will pay interest. So tell me kids this in 2 years Then how much percentage interest will you get? 2 brother x and y will get their successor x in a year + y + xy / 100 How much interest in 2 years Will you meet me my friends? What is the formula? x + y + xy / 100% Hey friend, where did the box go? x + y + xy / 100% In 2 years you will get this much You will get percentage interest. No problem with this No. Simple interest is simple. Let me tell you simple interest in 2 years How much will I get? If in the first year it is x%. Others How much will y% be in 2 years? of x + y% Simple interest will be received in 2 years. okay brother? Anything in simple interest No extra interest is received. so you tell me then 2 years of CI and 2 years of What will be the difference in CI? 2 years old Compound interest and simple interest for 2 years What will be the difference in interest, children? Brother This is a 2 year CI. This SI is 2 years old Is. Sorry if you deduct 2 years of SI then x + y will be subtracted from x + y . So what will be left? xy / 100% will be saved. that is 2 years old The difference of CISI will be xy / 100%. Understanding Did you come to the point? And this is an example. accept it That you invest ₹7500. rate of interest The first year is 7%. The second year is 8%. so tell What is the difference of 2 years CISI? 2 The difference of CISI of the year? if my brother You are given an interest rate of 7% for the first year 8% in the second year then 2 years CI and 2 years The SI difference will be x * y / 100 7 * 8/ 100 will come directly 7 * 8 = 56 / 10056% What is the difference between 2 years CISI? My brother, you will have to withdraw 56% of ₹ 7500 Bhaiya two zeros will go away from the percentage So this will come ₹42, ₹42 is the answer to the question. Is this what will come? Yes, this is what will come. ₹42 End. I think all kids understand This concept has arrived. If the rate of interest Be different. First, I will tell you the concept I have been here for 2 years. Then I'll give you I will explain the concept for 3 years. Here The rate of interest varied. If the rate of interest Every year should be the same my brother. Suppose you have a bank Deposit the money in me. The bank says brother We will give you 8% interest in the first year also If you give 8% interest for 2 years then tell me Then how much compound interest will you get You will get it in 2 years You will get r and r in 2 years The success of r + r + r * r / 100 should be if you go then you will say yes sir then it will be r + r will go 2r 2r + r² / 100% how much in 2 years My brother, you will get compound interest 2r r + r² / 100% interest will be received. Simple in 2 years How much interest will I get, my brother? The first years r% in 2nd year r% in 2nd year simple interest you will get r + r 2r% Say. so my brothers 2 years ci and 2 years What will be the difference in SI? 2 years old Compound interest and simple interest for 2 years What will be the difference in interest? Subtract. these 2 Subtract SI from CI of the year Cut 2r from 2r If you go and subtract, what will be left? r² / 100% then 2 Difference between CI of a year and SI of 2 years r² will come in percentage / you are 100% clear You will say sir, understand it by example my brother listen carefully all children all people Admit it my brother, admit it, let me hide it Am accept it Yes, I have written two examples in front of you. My brother is two examples ok now principal is ₹50 rate of interest is 12% but tell me enum 2 years CI and SI What will be the difference of ₹00 you invested The interest rate is 12% for 2 years CI and What will be the difference in SI, children? Tell me My brother if the rate of interest is 12% per annum. The difference between 2 years of CI SI will be Rs. 12 Divide it in square/100 percent. 144 / 100 that is 1.44% He will come soon. That means 2 years of CII The difference is 1.44%. So bhaiya is 2 years old What will be the difference in CSI? ₹ 00 The principal is ₹00. How much is the difference? 1.44% So 1.44% of ₹00 will come. Two zeros were cut from the percentage. 500 Rs. If we multiply ₹720 by 1.44 then ₹720 will be The question will be answered. Understand further. Brother If the rate of interest is 9% per annum. To you Given that the sum of CI and SI for 2 years The difference is 567. So tell me principal what will be? What will be the principal? Tell me. Think for yourself if the interest rate is 9%. To you Difference of 2 years CISI is given. So What will be the difference in 2 years CISI? Square of 9 / 100 will give 81/ 100 81% And the difference of 2 years CISI in the question ₹567 given ₹56781% What is the value principle, children? 100% so I asked you the value of 100% here will go. This is it kids. if you remove the decimal point Two zeros will come here. 81 will go to me Brother. 7 * 1 = 7 7 * 8 = 56 700 times so 1% Key value 700 100% Paste two zeros ₹7000 will be your principal amount. 70000 understood So these are two examples. I….to you I demonstrated both things. ok my brother now Listen carefully. Standard Rate I I am explaining to you the story of 2 years. Paper The most common question that comes up is Compound In interest he invests 5% 10% 15% 20% 25% 30% It comes on this. If you find this rate of interest If you know their calculations in advance then your A lot of time will be saved in the exam. These It is called standard rate. Standard Rate My dear brother. So you remember this My friends. So all the kids remember this Standard rate. Ok? I told you that if the interest If the rate is r then the 2 year CI is 2r + r² / 100% 2-year CI and SI difference what will come? r² / 100% Suppose the interest rate is 5% brother. then 2 years How much does a CI make? If the rate of interest 5% is the CI for 2 years and it will be 5+5+5* 5 / 100 this is the formula, tell me brother 5 + 5 then 10 comes and this is 25 / 100 5 25 Divide by 100, it becomes 25 and divide by 10, it becomes 25 If you add then 10.25% That means if the rate of interest is 5% then 2 CI of the year 10.25% Come and the difference of 2 years CISI will say and The rate of interest is five. 2 Years CISI The difference of 5 squared 25 / 100 is 25 Divide it by 100 and get 0.25%. said yes So my brothers, all of you brothers here please take care of this If the brother is 5% then the 2-year CI is 10.25 10% is the 2 year compound test 21% if The rate of interest is 15% and the loan for 2 years will be 32.25% Very Variant 20 If the rate of interest is If the CI for 2 years is 20% then the 2 year CI is 44% If the rate of interest is 25% 3 years Year 2 years CI of 56.25% If the rate of interest is 30%. 2 year CI It is 69%. This has to be kept in mind. Memorize it yes my brother. 2 year story completely End from. tata bye-b quickly I will understand. Story of 3 years. Come forward, son. Story of 3 years. Are you enjoying it? Ok. Look, my only aim is to increase the cut off. What is your purpose? it's clear to you Should be. All the boys like the video I will do it. Whatever you are reading. Like I am not doing the video right now friend. 5000 likes It has been done. Get it up to 10,000. Very slowly, no hurry. I I am teaching you taking time. Ok? Come on Because once the concept is done, now the question is Son, we will fly straight. If the interest rate is x% in the first year, then the interest rate is Rs. The second year is y%. The third year is z. a bank You will get x y z in first second third year Pays interest. then how much in 3 years What will be the compound interest in 3 years? just You guys tell me. It will happen in 3 years. First add these three. x + y + z triad Add the . Then multiply by plus two by 100 XY + YZ + ZX is to be multiplied by two and then added divided by 100 / 100 then multiply all three. All three Multiply by . Multiplication of X * Y * Z do it. Dividend by 10,000 this will come. X + Y + Z + XY + YZ + ZX / 100 + XYZ / 10000 Percentage. remember this For example, suppose you have ₹4000 Invest ₹4000 at interest rate in the first year 2% second year 3% third year 5% so tell me 3 How much compound interest will you get in a year I want to know from you, tell me about this How much compound interest in 3 years from You will get it in 3 years, tell me quickly If you deposit ₹4000 in a bank and earn interest The rate of interest is 2% in the first year and 3% in the second year Is. 3rd year 5 How much interest in 3 years will get? So first you should take it out in 3 years What percentage will it be? 2 3 5 success first Add all three and we get 2 3 5 10. then dod Multiplication of 2 * 3 = 6 + 15 21 + 10 31 31 Went. If we divide 31 by 100 then we get 0.31.31 I have arrived. Then multiply all three by the sum of the three do it. 2 * 3 = 6 * 5 = 30 You guys on 30th If you divide it by 10,000, what will you get, son? 0.0030 What will you get if you add this? 10.313% So in 3 years you will get 10.313% You will get interest. How much? Of ₹4000. ₹4000 10.313% of Will my brother come? Percentage minus two zeros Cut. This will come to ₹412.52 This is the answer. You have to take it out like this, quickly. Exact answer bhaiya 13 * 4's 52 103 * 4 = 412 I think Everyone has understood the matter well. I go ahead. Is it okay? will go ahead Children. Have I missed any PPT? ok sir. Now let's talk about my brother Standard Rate of. Standard rate for 3 years my brother All children of 3 years please listen carefully. 5 10 15 20 25 30 This is most important. In the paper Most of the questions come on this. If If the rate of interest is 5% then the CI for 3 years is is 15.7625% This did not come out of the air, my brother. it It has been calculated and figured out. If the rate of interest If the interest rate is 5% then how much interest will be received in 3 years? 5 5 How can we be successful in 5% of cases? Let us take it out brother, tell me first you these three You add 5 5 15 and then multiply by two 25 25 75 / 100 Divide 75 by 100 then Multiplication of the three 5 * 5 = 25 * 5 = 125 125 will divide by 10000 it came and it added up then 15 Add one to 75, 15.7625% Did he come out or not? in the same manner Have to take it out. If the rate of interest is 5%, find the You will have to memorize it. So the interest for 3 years will be 15.7625% If the rate of interest is 10% then the interest for 3 years will be 33.1% If the rate of interest is 15% then the interest for 3 years It will be around 52% 20% is the interest for 3 years which will be 72.8% 25% is the interest for 3 years and the interest will be 95.3125% 95.3125% If the rate of interest is 30% then 3 year CI will be 119.7% Well, the difference between CI and SI will definitely come No, this is 3 year CI if the interest rate is 30% if it is 3 years old then remember 119.7 for 3 years What will be the simple interest of ? in 1 year 30% If it is 30% in 1 year then in 3 years What will be the simple interest? 30 * 3 = 90% You will definitely find the difference 29.7% Is it clear? You will say yes sir, absolutely right. You should have memorized all this. If this Only if you remember, you will be able to solve the questions quickly. I ask you a question like this was left out. Tell me. Do question number nine. No Tell me, Salim borrowed ₹0000 from the bank at 0% interest at the rate which Half yearly calculation is done for 18 months loaned by Salim to the bank for Amount paid 69.4 457.5 Is. Good Find the value of r. There is a little option. My try it once and tell me what is the solution to this question the answer is Brother? This is your principal and this is your 18 The amount is after the month. this is your amount Is. After 18 months, Salim deposited ₹60,000 in the bank Borrowed from. Interest is compounded half yearly Used to be. That means success every 6 months will be. If Salim sends Rs. 69457.5 to the bank If returned, tell the value of r. Brother there is one way, you can talk to the principal Take the ratio of the amount. multiply factor Take it out. I am telling you one. One tell me if salim listens carefully My friend. borrowed ₹60,000 and returned it to the bank ₹9475.5 If he returned it, how much interest did Salim return? 9457.5 So much interest has been returned, my dear brother. Well Salim borrowed the money for 18 months For. Returned after 18 months. if 18 months then my dear brother and If it is being compounded half yearly then 6-6 months Three bicycles will be made for Rs. 6 month 6 month 6 month. 6 month 6 month 6 month 18 month It will be done my friends. Three in 6 months each The bar will be successful. Salim borrowed money How much did you take? ₹600 After three 18 months i.e. 1 1/2 years How much did he return later? 69457.5 I am doing this to make you understand. Paper I am not going to write all this. so tell me your rate What is? Rate means the rate of interest per annum What is? The rate of interest needs to be mentioned. But Enam tell me one thing how much interest did you pay bhaiya Salim? 9457.5 For how much? At ₹60,000. Now tell me if anyone If a person is returning this much interest on ₹0000 then What is the percentage my friends? How much What is the percentage interest? This interest on ₹ 0000 The principal was deducted from the amount, right? The principal was deducted from the amount. Interest came to ₹9457.5 Look how much percentage it is approximately 15% of 60000 15% of 60000 is 9000 This is slightly more than 9000. That means that Slightly more than 15%. This is from 15% It's a little more. I will see the absolute then 15.7625% it will happen and nothing else can happen because Standard rate is 15.7625% Is. 15.7625% He got interest of 15.7625% 15.7625% When will I receive the interest? When 55% is thrice Will be succeeded. That means every 6 months. There is 5% interest in it. When 5% is successful thrice If this is done then 15% of approximately 60000 i.e. ₹9000 You will get interest. If it is more than ₹9000 60000 5% 5% 5% thrice successful has been extended. Many children will tell the answer to the question. 5% this is your mistake son. Interest The rate is r% p.a. The annual interest is So every 6 months it is 5%. So son 1 year How much will it be? Doubles every 6 months 5% Is. So the interest in 1 year will be 10% at 10% Enam is the rate of interest son. d option answer It was about the question. Yearly 10% No calculations, no cube roots Just take it, don't do anything. if you You know the aprox, you will get the standard If you remember the rate, you will get the answer immediately. of this With this type it ends. Now I am your I'll take the next type in front. Type five. These The type is the principal extractor. Let go, Principal Extractor. See question number 10. Now he is not going to stop anywhere to ask quick questions Now any amount becomes 8 and 28 3 years becomes 1242 in 6 years At any rate of interest, interest yearly The principal is getting compounded a lot Good question Any amount ₹828 in 3 years The amount becomes the same in 6 years Bhaiya it becomes ₹142 for three years and three years It is 6 years. so that's what I can say ₹828 This ₹828 will become ₹142 in the next 3 years It will be done. my brother you will say yes sir Absolutely correct no problem. Interest What is the rate of? Tell me sir. No rate of interest What is a principal? any amount any interest which is compounded annually at the rate of 3 It is happening 828 in a year. happening in 6 years is 1242 so 3 years + 3 years means this ₹828 In the next 3 years it became ₹1242, tell me how much How many times did it multiply if ₹828 became ₹142 So how many times should I divide it my brother? It won't cost much, son, it's just one and a half times Rs. 8000 One and half times of 12000 One and half times of 28 3/2 of 42 multiplied by 3/2 times even if you cut it So it is one and half times that of my brother 828 one and a half times of 8000 one and a half times of 128 is my Friends it has become 42 i.e. money in 3 years If it is getting one and half times then here also it is one and half Here also the money will multiply to one and a half in 3 years times the principal i.e. 3/2 times the principal Only ₹828 is equal to the principal of the principal how much is it 3 * 2 = 6 3 * 6 = 18 two 3 * 7 no three 3 2 3 * 6 = 18 2 2 3 * 7 = 21 And here we go: 3 * 6 = 18. So ₹2676 My brother, you will get double the amount, that is ₹5352 There is an answer. Okay, two will come in the end. unit Ditty matches it. there will be two in the end No problem. A option one more question I will do it quickly. Question number 11 A sum of money at the rate of a compound test is 2 8000 a year would become 27,000 in 5 years. Tell the principal. No principal It becomes ₹8,000 in 2 years And this amount becomes Rs 27,000 in 5 years Is. So there is a gap of 3 years between 5 years and 2 years Is. that is, I can say that this is ₹8,000 This ₹8,000 will increase to ₹27,000 in the next 3 years It will be done. look at this 2 years + 3 years 5 This principal becomes ₹27,000 after 5 years Went. Tell me how many times has it increased, my brother? Tell me how many times has it increased? tell me fast. If ₹8,000 becomes ₹27,000 then multiply it by 27/8 It's done 27/8 times. Just take the ratio. ₹8,000 became ₹27,000. Divide 27,000 by 8,000. 27 / 8 times. Brother, your money is growing 27/8 times in 3 years Sir. If the money becomes 27/8 times in 3 years Used to be. There is a multiping factor of 3 years. 1 How much will it be in a year? Cube root? in 1 year You will have to take the cube root. That is, 3/2 times. 1 The money is getting 3/2 times in a year. So 2 How much will it be in a year? Square. in 2 years How much will it be? Square means 9/4 times. So brother the whole game is about the multiping factor Is. 27/8 times in 3 years. in 1 year times the cube root of 3/2. Square in 2 years The square of 3/2 is multiplied by 9/4, that is If you multiply the principal by 9/4 then you get ₹8000 will come. There is nothing left to cut. So Principal amount is 4 * 8 = 332000 / ₹9 This comes to ₹32000 / 9. So 9 * 3 = 27 5 0 9 * 5 = 45 means the first option is correct Uproxx. Type finished. You will ask this type of question. Type The end of removing the five principals came Is. Next come bhaiya type number six. Type Number Six Basics of calculating compound interest Question: My brother, apply for percentage. 12th On what sum the compound interest will be 23% Amount received after 2 years at the rate of Rs. 90774 Find the amount of money that will be spent on any amount Excellent. What will be the present value OF 9774 Due to hear when the interest Compound at 23% can also be done through enum option You can solve this basic problem as well It should come, see it is said that some amount of money will be given for 2 years After 90774 If the amount becomes due then I have asked you What is that amount? Look, what is the rate of interest? The enum at 23% is the fraction value of 23% is 23 / 100 23 / 100 this means that If you invest ₹100 then after 1 year It will become 123. Invest ₹100 in 1 year will you do it. We are talking about 2 years. So 2 What will happen in a year, my brother? Square will be. So the square of 100 is 10000. The square of 123 will come up my brother. So 529 and 100 46 will come to 15129. 15129 here it comes Will go. This is the ratio of the amount to the principal I have arrived. That means if your principal is Rs 10,000 then after 2 years the amount will be 15129 and 2 After a year this amount is ₹90,774 i.e. It is clearly visible six times. ₹900 and 129 chhikka my brother. Six times. So The principal will also become six times of Rs 10,000. ₹0000 You can also solve this question with options My dear brother. Ok? Initial Final There are questions about this. This will do it. Question number 13 do it. Compound Interest on a Certain Number at 16:2/3% for 3 years is 6350 as stated in the question if If the rate of interest is 16 2/3% then the interest rate for 3 years Compound interest is 6350 for 3 years yes it is very good so that amount means You don't even know the principal of the principal at the same rate i.e. this is 16% 5 correct 2/3 years simple interest rate @ 2/3% What will be the interest? 5 correct 2/3 means 5 * 3 = 15 2 17/3 years old brother 17/3 years old simple If you want to find out interest then multiply it by 17. This is the number that will be subtracted from 17. this is not it This is not it. Brother this number is also not disconnecting From 17, it was done in 1 second using the option Question. But these are the methods that you, my brother Should come. Do basic work in paper Needed first. You tell me about 3 years CI first So you will know the principal. rate of interest So it has been given to you. Unless the principal The question will come, how will you solve it, my brother? Interest The rate is 16% 2/3% That means the fraction value is 1/6 If the rate of interest is 1/6 it means you If you invest ₹6, it will become ₹7 after 1 year Will go. After 1 year, then what in 3 years Interest? what in 3 years my friends What will be the ratio? Power three i.e. 6 Cube 216 and cube of 7 343 This will be the ratio of amount to the principal. If your principal is 216 then after 3 years Amount will become 2343. Rate of interest 16 Correct 2/3% 1/6 i.e. multiply factor by 7 / 6 will become 216 343. Principal of 216 It will become 343. So how much interest will you get will get? What is 127 interest? amount Minus principal. Amount minus principal Subtract 216 from 343 and get 127 and interest How much did you get? ₹6350 Tell me my brother, how many times? 12 * 5 = 60 7 * 5 = 35 exactly 50 times. 50 times the principal is also 50 times 216 Went. The principal amount became 50 times 216. this is yours He is the principal in Rupaiya. question one level Moved it forward. spoke on this principle Tell me simple interest. at the same rate of interest The rate of interest is the same. 16 Right to 2/3% interest The rate is bean. 16 correct 2/3% 1/6 times the time. Time my friends 17/3 years simple Interest equals P * rate percentage times time. here comes the. 6 * 3 = 18 12 12 * 50 600 600 * 17 17 * 6 = 1020 Answer Option number A is complete, my brother, your question is There is an amazing question in front of you, there are amazing options It will be fun for the kids to go but do the basics We will move forward and take the next type, my brother type Number seven will answer the same question Tell me the type of GD paper quickly Too Yes The Effective Annual Rate of Interest Corresponding to a nominal rate of 2% Enum Payable Half Yearly. That is, if the interest The rate is enumerated at 2%. But if half yearly If this is paid then what will be the effective rate? 1 Annual effective rate means how much in 1 year Will there be interest? if my brother if you half Will you compound it yearly or compound it half-yearly If you do it then 6 months, 6 months, 6-6 in 1 year Two cycles will be made per month. interest for 1 year If it is 2% in 6 months then 1% in next 6 months I will give you 1% interest, right? Brother that will be a one and one success. 1 + 1 + 1 * 1 / 100 1 / 100.01 so this will come to 2.01% Interest to you 2.01% This one. Ok? You could do it mentally. Any There is no problem. End. Tell me the next type. Type number eight. This is a very important type. And children get scared of this type. GD's There were questions in the paper. the kids started crying Of this type. Tell me question number 15. Amazing I will tell you the method. Amazing. what is the least number of complete year in VS Sum of Money Put Out at 20% Compound Interest will be more than double? It is said that 20% The amount doubled at the compound interest rate for more than double the minimum How many years will it take? If the rate of interest is 20% If it is enum then minimum number of years to be perfect I tell you minimum in how many years someone The amount will more than double? One thing Tell me if the rate of interest is 20% per annum, its That means the multiplying factor will be 120% Enum at 20% means every year your money grows at 20% It will keep increasing. If 20% increases on 100% then every How many years will it be? 120% or 1.2times I assumed it would take you minimum n years. If your money is getting 1.2 times every year So what will it be in n years? Power n Son, this is the whole game of compounding. If n is increasing 1.2 times in 1 year then How much will it be in a year? I assumed it would take n years will go to 1.2n and this should be more than two. It should be more than double. Then the sum of n What is the minimum value you will take? If you used n If we put the value two then the square of it is 1.2 1.44 It won't work. the value of n if you have If we put three of them, the cube of 1.2 is 1.728. Not more than two. It will be done at four. If you raised 1.2 to the power of 4 So just multiply 1.728 by 1.2 I will give. 17*12 what is it son? 204 That means it will become greater than two. If you have n If the value of is kept at four then it is more than 2. Will go. More than that will come. That means that It will take minimum 4 years. It didn't work out with two, it didn't work out with three. Four Will have to keep it. 1.2 to the power of 4 more than two will come. Because 1.2 to the power of 4 is 1.2 We will multiply 1.728 by 1.2. Peacock than 4 years. Finished question. Go ahead my brother. it Please tell me. do it. 16th question The question is of GD 2022 at the rate of 9% per annum ₹ 00 compounded on the basis of The compound interest is ₹5643. Tell me the time. Read the question as much as necessary. The rate of interest is 9% on ₹00 principal. Compound interest is generated. compounding Interest amounts to ₹5643 The interest is being compounded annually. So, I asked you how much time it is? tell me how much will you have time? 2 years won't come in 1 second My brother is gone. it will take just that much time Literally you in doing it. hey bro you are yourself Think about it, but let me tell you the full details first. I will give you, you don't even have to do this much for ₹00 How much interest did you get ₹5643 ₹5643 interest received on ₹00 in percentage How much interest did you get multiplied by 100%, this will come My brother, brother take this out in percentage So how much 3 * 1 = 3 3 * 8 = 24 and two 3 * 8 = 24 3 * 1 = 3 18.81% Now tell me if the rate of interest is 9% at enum. You get a total of 18.81% If you get interest then it is 9 and 9 twice It will come upon achieving success. 9 and twice 9 It will be successful. That means if the interest is paid for 2 years If the rate is 9% then 9 and 9 times 9 = Successive 9 + 9 + 9 * 9 / 100 9 + 9 + 9 * 9 / 100 so How much time will it take? 2 years. here comes the. this some No need to do that either. Saw aprox Do it, son. The interest rate has increased a lot in 1 year goes. If you have taken ₹00 then you Interest received was ₹5643, see how much it was approximately 9% in 1 year 18% in 2 years 18% of Rs.30000 18% of ₹5400 is 5400 or 5600 That means is it more than 18% or a little less than 18% It's a bit too much. That means you will get a little less than 18% I got a bit more. If the interest is 9% in 1 year If it is a little more than 18% then how much interest will be charged Will I get it in a year? This is what's on my mind in 2 years Had to do it. I didn't want to write anything, son. Come on, tell me this. Tell me this. Come on you Beta aprox method. Approx Method Make a command on percentage. Percentage to wind up Blow me in the air. or else you'll fly away In the air. Look at questions like these. They all invested Rs. 7500 at 18% rate of. The interest which is compounded annually. n ₹1443 after a year Were received. What is the value of n? Look who The previous question is the same, this is the question my brother. There is no difference between the two. Previous Question I taught you how to do it in the air. 1.6 Tell have been. I don't know what kind of kids you guys are. I am also going to show you the basic method of solving these questions. Let me tell you how this question is related to basics There are. Listen carefully, my brother. lots of love Please understand that you have to find the time. even today 99% Children preparing for government jobs Time calculator of compound interest Can't ask questions. Leave aside these imaginary methods. them basic method doesn't even come. He is such a bad boy. If If the rate of interest is 18% per annum then its The fraction value is 9/50 18/ 100 9/50 means every year You will get ₹9 interest on ₹50. then the amount How much will it be? 59 this is 1 year old The multiping factor has arrived. That means every one Your money will multiply 59/50 times every year In the year. Did you understand? Does anyone even have any doubts? Are you able to understand this? Every year your The money will be multiplied 59/50. ₹7500 10,443 after n years Have become. ₹7500 is your principal. This amount after n years became ₹10,443. Then find out how much the money has multiplied My brother, how much is this multiplication factor The power is three, the son will go up 2500 times also goes by three 3 * 3 = 9 a 3 * 4 = 12 Two 3 * 8 = 24 3 * 1 = 3 3481 Below is 2500 square of 50 There is 3481 above and only one is coming at the end of 59 Square means your money is 59/50 It became square of. Your money is 59/50 It was a square. my brother i understand this Is it happening? Say. Yes. Every year your Money 59 if the rate of interest is 18%. So its Meaning every year your money gets multiplied by 59/50 It will happen every single year. Just find out that The money you invested is the principal and How many times has the amount that has been created increased? So When I took the ratio from here The power of the multiply factor is two i.e. That two cycles were completed. If interest It is being compounded annually. That means one by one Two cycles will be made per year. That means 2 years. will he come, son? 2 years. this is the basic method It happens to ask these questions and I've told you here I told you about the blowing method. Let's ask a question Do it my brother, please tell me this one. ₹24,000 In how many years will ₹36,501 become ₹36,501 at 15% interest rate Will it be done? I will tell you both the methods. I have been. Basic and also Udan Ghatola method. Tell me the rate of interest is 15% per annum. 15% of The fraction value is 3/20. What does it mean This means that if you invest ₹20 then you will get 1 It will become 23 after a year. this multiping The factor of 1 year has arrived. every single year Your money will be multiplied 23/20 times. every single year In. If you look at this question carefully You do not teach anyone, my brother. all this Just type and learn to withdraw interest easily Gave. I finished the class. not like that We will do it. ₹24,000 ₹36,501 It happens. Your money multiplies 23/20 times every year Used to be. We invested ₹24,000. it After some time it became ₹36,501. So brother you Find the ratio of these multiplication factors What power! It will be cut by three, brother. from three 24 will be divided 8000 times and 12 will be divided by three 3 * 1 = 3 2 3 * 6 = 18 3 * 7 = 21 here it is my brother its ok g 820 cube 1267 The cube of 23 will be equal to the cube of 3. It happens that at the end seven will come, which means your The ratio of principal and amount is 23/ 20 The power of is 3. i.e. multiping factor The power of is 3. Three Multiplying Factors times. will multiply three times My brother. That means how complete? one by one Three cycles will be made in 3 years. brother this means that if you If you have invested ₹24,000 principal then it is yours amount has become 36501 That son and the interest is compounding annually Is. It is getting compounded every single year. Your money will be multiplied by 23/20 every year. Every year it will be multiplied by 23/20. Every year 23/20 Will be multiplied by. So multiply 23/20 three times Will have to do it. Three cycles in one year Only when it becomes ₹24,000 will become ₹36,501. Ok? This is basic but don't do this You must come, you don’t have to do it in the paper. This is a useless method, son. look at the air, son Brother, what a difference a year can make goes as interest. You tell me ₹2,000 You tell yourself ₹2,000 36501 If you get it then how much interest did you get approximately take it out, take it out almost, tell me my dear brother I got interest on ₹2000, it became 36000, right ₹12 ₹1501 on ₹24000 Do you understand that you got interest? Half of 24000 is equal to half of ₹1000 More means a little more than 50% You got more than 50% interest a little bit more tell me tell me yes half of 24000 is 50% 12000 24000 if you break 12000 then it is coming So tell me if the rate of interest is 15% then In how many years will you get approximately 50% interest Standard rate will be available only in 3 years Not explained Standard rate 15 15 three Where will my brother come only after doing success again Here it is, if the interest rate is 15%, 15% So how much interest will I get in 3 years? 52% In 3 years. So here son the rate of interest is 15% Is. Then how much interest is more than 50%? Will I get it in a year? In 3 years. answer is nothing to do. And all this would happen without lifting the pen. Without Pick up the pen. all of this will proceed further. next question. Tell me question number 19. Railway NTPC graduate level question Latest at what rate of interest enum At what rate of interest ₹15625 amount will be 19683 1 year 6 months i.e. in 1 1/2 years if Interest is being compounded half yearly Yearly is a very simple question. to do anything There is no need, my brother. Look, this is a little It has come separately. I will tell you the basics as well Am. There is 1 year and 6 months. 1 1/2 years You will have ₹15,625 in 1 1/2 years The amount became 19,683. Interest Half Yearly It is getting compounded. see if interest The half-yearly compounding is less frequent. 1 year It is 6 months. 1 1/2 years i.e. 18 years month. If interest is compounded half yearly If it is available then three cycles will be made in six months. Interest will be charged every 6 months. every 6 months tell me ₹15625 After 1/2 year my brother became an amount. 1st ₹1683 after a year What is this after one and a half years? tell me it what is this? This happened in 1 1/2 years Miracle. This 18 month multiping is the factor. 18 months old. tell me 18 months Of. In 18 months or 1 and half year only 18 It is called a month. ₹1625 19683 is 18 months old. so 6 months old What will be the multiplication factor? 6 months old Cube root. I have to root a 6 month old cube. If your money becomes this in 1 1/2 years If yes, then how many times is it happening every 6 months Is? 15625 is the cube of 25. 19683 how much Will you come my dear brother? Cube of 27. of 27 It's a cube my friends. you will say yes sir Correct. That means every 6 months these 6 The multipiping factor of the month arrived. Every 6 Your money will multiply 27/25 times in a month. every In 6 months. This means you will get ₹2 for 25 You will get the interest, my brother. if 25 is 27 ₹2 interest will be charged. 1/25 4% 2/25 8% but you 8% Do not answer in excitement for these 6 months I will have 8% interest every 6 months The rate of interest will be 8% every 6 months That has to be told annually. Annual rate of interest what will it be? Enam at 16%. If the rate of interest At 16% the enumeration will double only in 6 months I will get 8% 8% 8% interest. This question can also be raised approx. Also aprox. Ok? Come let us take the next question my dear brother. Tell me this. next question. The next question for you is this. This is yours There is homework. I got the answer to this question in the comments I will do it and tell you. I will move aside. Take a screenshot. when the class is over Please tell me the answer. This is exactly the same question. Type End. The next type comes in front of you. Type number nine. Ninth type. Please come. Son, quickly ask the 21st question. I will ask you just one question, my brother. amazing question And your concept here is amazing. There will be clarity. An automobile financier claims to be Lending money at simple interest. One Brother, he is an automobile financier who gives money on loan They give it to you, they are called financiers. They claim that we keep money simple They lend money on interest. butt butt butt such It is not there. but he includes the interest Every four months. But my dear brother he Interest included every four months is for calculating the principle. this thing What do you understand after reading this? it The financier scoundrel is saying that I am simple I take interest. But what does it do Is? Whatever interest will be there every 6 months By adding him, he is making him the new principal. sorry every 4 months every 4 months whatever There will be interest in adding him as a new principal He is making it. That means every 4 months. This villain is succeeding every 4 months In. If he is charging interest at 21% per annum. So you asked what is the effective rate of interest will be? Effective rate of interest. That means that He is saying its simple interest but he takes There is compound interest in actual compound interest. Do you understand what this is about? Palle It falls, look we will talk about one year. He says brother I am investing at the rate of 21% I lend money on simple interest. But He adds interest every 4 months and then makes a new The principal is making it. Every 4 months He is succeeding. You tell me 4 months old It means 1/3 year. If the interest is for 1 year If the interest is 21% then how much interest will be there in 4 months will be? 7% in next 4 months 7% in next 4 The compound interest is 7% per month You will get it my brother, he will be successful in 77. Compound Interest Say Yes 77's Success Had to do it only because 7% every 4 months Add the interest received and then again get 7% interest took it, then added it and then further the principal If it is going on like this then what is CI Add all three 7 21 then double the number. Multiply 7 * 7 = 49 7 * 7 = 49 7 * 7 = 49 7 * 7 = 49 49 * 3 = 147 divided by 100 Then multiplying all three by the cube of 7 is 343 343 We will divide it by 10000. It is 343/ 100000343 So 21 and one 22 47 3 50 22.5043% I think this is what will come. 22.5043% There will be interest. A Option So this will become the rate of interest. I think I have understood it. my next type will come Friends type number 10. Compound Interest Actual Calculation Questions ahead. Look, type number 10 will come. Ok Yes? And this will come from the percentage method i.e. By formula method. I will tell you first. Tell me children. Next type. Are you enjoying it? ₹400 This is how it is invested for 2 years Let the rate of interest be 8% in the first year. Others year is 10%. So what will be my amount Brother? amount What will be the amount? Such questions may arise anytime. Look, I have to withdraw the amount. then the amount It means keep on multiplying continuously From Factor. If you invest ₹400 The first year's interest is on compound interest rate of 8% i.e. first 400 is increased by 8% Is. Then we have to increase it by 10% next year. if someone If you increase the number by 8% then you will get 108% It will be done. Write 108% or write 1.08. If you increase any number by 10% If you increase 100 by 10% it will become 110%. 110% means the amount will be 1.1 Direct 110% means 110 / 100 1.1 here See, three zeros cut from two three decimal places Will go. There will be a zero at the end after the zero 4 * 8 = 32 2 * 1 = 2 Two will come after 0. That means this is the answer. Multiples of nine, multiples of 11, you can see all these You can see it. Next question: Question number 23 Do it quickly. If the first year of NTPC CBT 1 2% for the second year 3% for the third year If the interest rate is 4% then how much will be the loan in 3 years The amount will become ₹5000? please tell me. Four The option is NTPC. 2% interest for the first year, 3% interest in the second year, 4% in the third year Interest. So how much money will be ₹5,000 in 3 years Will you go, tell me? Let us assume P 5000 in 3 years It will be done. That means this P my friends What should happen? 5% after 3 years Sorry it should be ₹000. 2% in the first year You will get interest. You will get 2% interest on 100%. How much will the amount be? 102% 1.02 next You will get 3% interest per year. 100% pay 3% interest will get. How much will the amount be? 1.03 Then in the third year, you will get 4% interest. how much will the amount be my dear Friends 1.04 Multiplied by multiplying factor and after 3 years How much amount will I get? I got ₹5000 Brother, okay, I have asked you, Principal, this is it Son, all this stuff will go to waste there Who will do so many calculations and the options are also like this The first option is given Answer first option The option came instantly. tell me this my brother Do it quickly what is the answer? Say. If the rate of interest is 16% in the first year and 1 20% in the third year and 15% for 3 years What will be the compound interest on ₹15000 3 Tell me brother, is this an option for the year I have a question from GD 2022 paper Friends you tell me look I am giving this as an option From where will I get the digital option looks different 8 19 5 becomes 8 19 2 became nine 9 became six son digital sum it has five digital sum it has two if it is six then its digital sum is three then from option I won't do it if you have invested ₹15000 Tell me the rate of interest is 16% in the first year What will be the amount 1.16 plus interest The rate is 20% how much will be the interest then 1.2 The rate is 15% what will be 115% 1.15 it After 3 years this is the amount from which you can Subtract the principal by ₹15000, this is your answer The answer will come. Say This amount was withdrawn from the amount. I deducted the principal from this. These Your 3 year compound interest is now Didn't you come? Say yes and no. this is yours The amount will be. 15000 increased by 16% to 116% then increased by 120% 120% 1.2 then increased by 15% 115% 1.15 Principal deducted from this ₹15,000 We have to find the digital amount only. Look at these three There are three here too. Multiple of three is 9 Ch 99 of 15 - 6 will yield three digital evens. it Option D remains. Three digital sum We can do it quickly using the option. You can also calculate it using the formula if you let's do the calculation in this question No, I will tell you in the next question. Please do question number 25 It's a simple thing, everything can be done with digital money Please tell me the options are different This has come in the Railway NTPC paper the question about Please look at the question first A zodiac sign in the first, second and third year 6 12 3 years at 18% compound interest was invested for. Amount in 3 years Is equal to 20,000. Then tell me the principal amount. These The amount after 3 years is Rs 20,000. Principal What will happen? This is the option. shape of option Looking at it it seems that this is approx. It is evident just by looking at the appearance of the option. This is approx. Likewise, the rate of interest is It's rotten my friends that you have to do approximation calculation here It will be. Please do not put digital amounts etc. here Because this option is approximately Look, there is a difference in the options. Difference of ₹1000 Is. This much difference is enough for me. You tell It is said that the interest on a certain sum in the first year is 6% Is. 2nd year 12% 3rd year 18% If 3 After a year the amount becomes ₹ 2000. 3 year After that the principal has asked you about the amount. What will be the principal? then you are my brother 6 12 And take the successive 18%. If interest First year is 6%, second year is 12%, third if the return is 18% per year then tell me in 3 years How much compound interest will you get in 3 years? What can you tell me? in 3 years in 3 years Interest will be received on these three successive. How did you teach it? Add the puff first. 6 12 18 36 Plus the multiplication of the three 6 * 12 72 12 * 18 216 yes brother and this will be yours 18 * 6 = 108 216 108 324 and 72 396 396 divided by 100 is 3.96 Multiplying two and adding in the mind Taken divided by 100, multiplied by all three 12 * 18 216 * 6 = 1296 96 Multiply all three 18 * 12 216 छिक्का 216 छिक्का means छ का मेरे dear brother the power became four then this is 1296 If we divide 1296 by 10, we get 0.1296 So brother this will be the interest for 3 years and this much Brother, when there is a difference of ₹ 1000 then why so much To have to bear the hassle, around 40% interest will be charged aprox So you will get approximately 40% interest in 3 years I will tell you yes or no in exactly 3 years Do not remove it. I have asked you brother if you have invested some money Do it. The interest rate is 6 12 18% in the first year. I found out about 40% in 3 years You will get interest. That is, after getting 40% interest After that your amount will be ₹00 You get 40% interest on the principal amount on the principal found. After getting 40% interest, what is yours If the amount is ₹00 then what will be the principal amount brother? The answer will be such an option which on increasing by 40% Let it get 20,000. The answer will be an option like this. If 10,000 is increased by 40% then it will become 14,000 only will come. 40% of 13,000 is 5200. 5200 I will not increase it. Look at this, 40% of ₹14,000 5600 is close to 12000 which is 40% of 12000 it is 4800, they will not add 4800 to 12000 Yes son, if you consider 14000 then 40% of 14000 It becomes 5600 if I add this 14 5 It will reach almost 20000 B option answer hoga b tell me How did you like the question my friends ok so we have it both ways Are. formula also approx in previous question Those were the exact answers. So I decided to try digital Just checked it. is it yes brother or you can first use the formula to find out How much interest percentage do you charge? then his my friends you You should have calculated the percentage. both ways So I told you the questions. Next Type Type number 11 will come. the question is the same My brother. the question is same but here Change the way you process data It will have to be Do question number 26 19375 at 8% compounded half-yearly 1 year at compound interest rate per annum What will be the compound interest? 1 year old? Look brother, this question can also be asked through options Can. This question is also of every option Digital amounts are different. I'll give you that too I will do it and tell you. I will tell you that too Give. but my brother It is also very important to know the method. Both will learn things. Let us go. You have to tell the compound interest. of 19375 The interest rate for 1 year is 8% per annum The rate is. But interest is compounded half yearly It is happening. This is your principal. First Understand the basic method, my brother. how will he do it? If the time period is 1 year. 1 year means 12 months. If you compound it half yearly then Two cycles of 6 months each will be made. If interest If you get 8% in 1 year, then you will get 4% in 6 months The interest that will be received will be a successful 44% will get. You will find out its formula It will look a bit dirty. Fraction value of 4% It is 1/25, let's do it like this. That means that You will get 1/25 interest every 6 months. 1/25 interest means you get ₹1 interest on 25 rupees Will go. So ₹25 will become ₹26. it is 6 months I will become 25 or 26 every 6 months. So What will happen in 12 months? Square Twice Isn't it? So the square of 26 is 676 times 25. Square ₹625 here it is. this is from the principal The amount ratio has arrived. That means ₹625 It will become ₹676. So how much interest will you get will get? 51 You will get interest. in the amount Subtract the principal from . ok sir. On how much principal? ₹1375 ₹1375 on principal of Rs. But tell me how many times is it? You will say sir this is a big calculation It is strong. no son 625 a very cute There is a number. 625 * 8 is 5000. 5000 This is 625 less than 20,000. this is 19375 This is only 625 less than 20,000. it is brother this is Take care. 625 * 8 is 5000. to everyone Everybody should remember this. It is from 2000 to 625 It is less. I will divide it by 625. 5000 is eight I would go to the bar. 20 is coming. It will go 32 times. 625 One less than 625 * 1 = 625 i.e. 31 times Will go. Multiplication table 31 times. It is 31 times. So The compound interest will also be 31 times 51. that 1530 + 51 ₹1581 Answer has come ₹1581 This is your answer Is. Option number D. This is method number one ratio method. The second method can also be in percentage that Brother 19375 He is your principal. 4% interest in 1 year 6 The interest is 4% per month. so 12 months is 1 year What will happen in? Success of four and four. Four and the success rate of four is 8.16% Successive of 4 and four 8.16% You will get interest. tell me yes or no? Any any problem bro? 4 + 4 + 4 * 4/ 100 then This will come to 8.16% You will get this interest compounded my brother On interest at ₹19375. Ok? This is very Can be done easily. Its digital equivalent Take it out. Nine 3 5 8 1 9 7 comes. 8 more 19 left. 7 * 6 = 42 42 means me brother six digital sum six digital sum look here 9 5 1 6 1 7 then 6 7 8 5 13 4 5 4 9 2 8 1 9 5 1 6 digital sum this is the answer for this option the answer has arrived The digital equivalent of this option is: Now someone will say that Sir what is digital sum? So son you cry Take this little bit, it's not for you. Ahead Will go. 27th question ₹930 for the first year at 12.5% 14% for the second year and 2/7% for the third year Borrow at 10% compound interest for a year Is given. Compound interest after 3 years Tell. Brother here is this type of data that Formula will not work here. Any flower or Percentage is so dangerous. You borrowed ₹930 Given. The interest rate for the first year is 12.5%. 1/8 Convert this to a fraction. second year interest The rate is 14:2/7%. 1/7 of interest in third year The rate is 10%. 1/10 so we can use ratio method for this I will have to make it from this only, my brother. The first years The rate of interest is 1/8. i.e. Principal 8 will become 9. Second year 14:2/7% 1 / 7 will become 7 to 8. 3rd year 10% 1/ 10 10 will become 11. That is, straight-forward Multiply the multiplying factor by eight Eight will be cut. will come 70 99 This is the direct ratio of the amount to the principal from the initial value to the final value You will get interest increased from 70 to 99. 29 units you will earn interest on. How much is the principal Is? ₹930 How much my brother? 7 * 1 = 7 7 * 2 = 14 7 * 8 63 12 139 If we multiply, the value of 29 will also be 129 times. That means 29 multiplied by 100, 2900 + 29 * 29 841 this will come to me ₹3741 ₹3741 this the answer is 3741 I think you will ask this type of question Look, I told you this question using two methods. This is a compulsion, the data is such that the ratio you will have to do it from here only don't use formula etc. put ji here we will proceed further type next now It's easy to type I told you Most number of questions come in the exam We sell at standard rate 10%, 20% and 5% on the same We will do the based questions now. so already Questions based on 10% will come, you will know about 10% If yes then the answer to the 28th question will come soon do it from Brother, all the children are reading the video Please like it. I finished half the chapter. I will finish half of it by midnight. If 20,500 if the interest is compounded annually but compounded at 10% for 2 years What will be the interest? If the rate of interest is 10% Look, in 2 years my son is the best in the world Our lovely 10% rate If the interest rate is 10% then the interest in 2 years is 21% 10 more Success of 10 if the rate of interest is 10% 10 is obtained by subtracting 10 three times 33.1% If the rate of interest is 10% then in 4 years The interest is 10 = 10 = 4 times 46.41% remember this, if you don't remember then you will You will regret it. ₹500 is the principal. 10% interest The rate is. How much interest will I get in 2 years? 21% Will get it in 2 years. This answer will come. Two zeros from the percentage ₹4215 ₹4305. next The 29th question is from Delhi Police. 3 years old at a certain rate of interest for a period of 24 years The simple interest is ₹7200. at the same amount Compound interest for the same period at the rate What will happen? ₹7200 Simple at ₹24,000 I am interested. That means 30% 24 * 3 = 72 30% you got simple interest Is. Simple interest. How many years on ₹24,000 In? In 3 years. So how much interest will he get in 1 year? Will he come? Enum at 10%. then the rate of interest comes Enum at 10%. If your simple plan is Rs.24,000 If the interest is 7200 then how much will be the interest in 1 year Will the interest come, son? 10% So it is said at the same time on the same principal Compound interest. ₹24,000 Your Principal Is. If the rate of interest is 10%, then you will have to pay You will get compound interest of 33.1% If the rate of interest is 10% then in 3 years the same rate will be CI will be 33.1% percent with two zeros One zero from the decimal. tell me son 7200 720 7920 Yes brother and plus 24 means it will come to 7944. D option will come my brother 10% of GD will be finished Simple interest at the rate of compound interest for 3 years at the rate The difference of interest is 155. tell the principal if If the rate of interest is 10% then the CI for 3 years is is 33.1% Memorized. If the rate of interest is 10%. 3 year The SI is 30% memorized. 3 years old Difference between CI and SI is 3.1% from today Memorize it. Its value is in question ₹155 has been given. tell me will you remove the decimal one Zero 31 * 5 = 155 Value of 1% ₹ 50 Principal 100% came to ₹5000. easier than this The question does not arise in the entire world. Come forward with the third option. do it. Compound Interest Earned in One Year on 2,40,000 at the rate of 40% per enum Compounded Quarterly. Lee saw the year Invest ₹2400 at 40% interest for 1 year Compounding quarterly Test to tell if the time is 1 year children If you are compounding quarterly Quarter means 1 year / 4 i.e. 3 month 3 month 3 month 3 month four If the interest is 40% in 1 year then the cycle will be made What will happen in the quarter, 4 divided by 10% % i.e. that the CI you will get will be four of 10 10 You will get success many times. I just taught 10 10 It is successful four times. 46.41% This will get you compound S. How much? ₹40 46.41% of Percentage two zeros tapak China dum dum this will come. G 4 * 1 = 4 units will come to four. Answer is 4 * 1 4 The next type is your 13 based on 20% Now if questions based on 20% come then I have to get it done, it is my compulsion. Ahead Come on brother tell me this for 2 years Sorry compound interest at the same rate and simple of interest on the same amount between the interest The difference is 1180. Ok? If the rate of interest is 20% then the amount invested Tell me the amount. The amount invested will give you I have to tell you. Yes, please tell me what the amount would be What are you investing in? do something at least had been. Yes Look dear friend Difference between the interest on the same amount Under Compound Interest and Simple Interest For 2 years is 1180. I just explained to you that if the rate of interest If the difference in CISI for 2 years is 20% then The result will be 4% square of 20 / 100 see 2 years The compound interest will be 44% 20 and 20 Successive Simple Interest of 40% for 2 years The difference of CSI will be directly 4%. If the value is ₹1180 then the value of 1% is 4 * 2 = 8 3 4 * 9 = 36 and two 4 * 5 = 20 295 100% 29500 The answer is 29500. Hey how did this happen? 29500 proceed further. next question. Question Number There is 33 in front of you. Tell me this. what is the question brother? the rate of interest on Two different schemes are the same. and it is 20% Brother, rate of interest in two different schemes The interest rate is same i.e. 20% in two different schemes The rate is 20%. Ok? but in one of the scheme Interest is compounded half yearly and in the Otherwise it is compounded annually. But both In the first scheme, the interest is half It is compounded yearly. in the second year It is compounded annually. Ok? Equal Amount is invested in the scheme. Equal amounts are invested. If The difference in returns is ₹723 in 2 years. 2 Return in a year i.e. difference in interest It is ₹723. So what is the principal amount each In the scheme? very nice. Look, you have money Invested in two different schemes. 2 This is the first scheme of the year. For 2 years Invested the money. Half in the first scheme It is being compounded yearly. Half Yearly Meaning four cycles of 6 months each will be made. If the interest is 20% in 1 year then the interest for 6 months How much will it be? 10% is 10 four times 10 Successful you will get 46.41% You will get interest. The second scheme is that the interest is compounded annually Used to be. The time period is 2 years. So, one year or two Bicycles will be made. If the interest is 20% in 1 year then Successive 44% interest on 20 and 20 in 2 years will get. So brother the difference between the two interest rates How much will it cost? Their difference is 2.41% standard rate so I remember so I I can do it quickly. 2.41% The difference in returns according to the question is ₹723 Remove the decimal and add two zeros. How much from ₹41 Times? Three times. 730 1% 300 100% 30000 A Option come on kids next question type number 14 tell me this Type number 14 will do. well it came Based on 5% based on 5% is based on 5%. Yes, ask the 34th question. ₹00 @ 10% compounded for 1.5 years What will be the interest? Interest Half Yearly It is compounded. Look at the keywords. The principal is ₹10,000 and the rate of interest is 10%. Time is 1.5 years. Interest is half yearly Compound. Compound interest will be credited to you Is. 1.5 years means 18 months. Half Yearly You will compound it in three cycles of 66 months Will go. 1.5 years means 18 months is your total time. If you are compounding every 6 months then 6 Month, 6 months, 6 months became 18 months. The interest is 10% in 1 year. will happen in 6 months 5%. 5% in next 6 months, next 6 months 5% then you will get interest of 55 Success. Success rate of 55 is 15.7625% I remember. How much? ₹00. So 15.7625% of ₹00 You will get interest. This will come in calculation Two zeros removed from the percentage. ok sir. will he come, son? 25 * 3 = 75 18 1 3 7 21 22 two gain two 15 * 3 = 45 Two 47 came and ₹ 728.75 and ₹728.75 The first option is the first option answer. You had to do multiplication, just tell me the question number Do the 35th. A sum of money is invested half yearly at 10% rate of interest for 18 months compounded from Investment was made. If on maturity Amount 64827 If yes then what is the amount invested? Amount on maturity Ok Look brother, you have invested some money 10% interest rate compounded half yearly For how many months does it happen? 18 months old I have invested for this. on maturity which The amount is this. so my brother if the time It is 18 months and interest is compounded half yearly If it is happening then three cycles of 6 months each The interest is 10% in 1 year. will happen in 6 months 5% so you will get CI of 555 success 15.7625% It is not necessary that we do this. 5% to Even in fractions I think it is better to hurry up Will you take it? Take fraction of 5% i.e. 1/20 every 6 months There will be 1/20 interest. 1/20 every 6 months You will get interest. That means ₹20 every 6 months It will become 21. every 6 months these 6 months is the multiplicative factor of. Every 6 months It will be 21/20 times. How much will it be in 18 months Will you go? Three times. Remember the cube of 21 9261 Everybody has done it. Cube of 20 is 8000 That means if your principal is 8000 then The amount will be 9261. The amount is 9261 The value of this is 9 * 7 = 63 1 7 seven times Bhaiya the game is over, principal will give Rs. 8000 Multiply ₹56000 this is the answer, this is option D Gaya 56000 It's over my brother the question will go further No. 36th 36th will come next type in front of you Type well, after 2 years my next type has arrived Brother 2 years CI calculation 2 of 1 year CI and 2 years SI the one with calculation question no.36 21535% 2 year SI this This is your homework my brother there are many such These questions have been asked, please tell me by doing them I have moved aside, it is a GD question No, yes, answer it by commenting to me Tell me we will do this from here on 37th make it please Yogesh Yogesh invested some money in HDFC at 4% Invested the money. Ok? After 2 years Yogesh got of compound interest Received ₹29.5 as donation. So I asked you what would be the corresponding in simple interest? What is the simple interest in 2 years will be? Look, this is a very basic question. Yogesh bought some loan in HDFC Bank at 4% rate Invested the money. The rate of interest is 4%. Ok? Yogesh gets compounded in 2 years Interest received ₹29.5 I wanted to tell you about the simple interest for 2 years. That's such a small question. Look, data is very simple. If the rate of interest is 4%. Keep listening to me Brother. So how much CI will I get in 2 years? 4 And success of 4. 4 + 4 + 4 * 4/ 100 this is Will go. That is 8.16% You will get the interest in 2 years. 8.16% And its value in question is ₹29.5 I have given it. I have asked you for a simple 2 year old interest. The simple interest rate is 4% in 1 year Rate. How much simple interest in 2 years will get? Its asked value is 8%. These There is a calculation that you need to perform. Simple interest will be less than compound interest interest. It will be less than compound interest My brother. If the compound interest is 229.5 So simple interest will be less than 29.5. in There is no answer in either of them. the answer is either this This is an option. This is an option. can't be 220 Son. ok sir. 11 comes in 220. is this Cutting off number 11? 2 9 11 2 5 7 No. Can't be 220. 225 is the answer. Why Do I have to complete the calculation? Why do calculations? Simple interest is less than compound interest will be. Say. Ok? And two such options were removed. this will come and this Son it is not possible that this 11 is coming And 11 will never come. The unit digit is also There should be five. End. Please move ahead. Take the next question. Tell me this. 4700 deposited at 9% interest for 2 years goes. Ok? Ok. compound interest compounded annually What is the difference between simple interest and will be? Latest Railway NTPC question. Look my brother, 2 years of CI and SI What is he giving you? I have asked for the difference. If the rate of interest is 9% then the interest rate for 2 years CII is The difference will be 9² / 100. I used the formula I have told you. 81 / 100 that is 0.81% If the rate of interest is 9% then the 2 year CSI This will be the difference my brother. Ok? You will say yes sir, its okay. so this It will come brother ₹4700 Of Making the difference of 2 year CISI 81% Because the interest rate is 9% see here Two zeros will be deducted from the percentage. this is cut Let's go. two zeros were removed from the percentage do it. There will be two decimal places at the end. That means that This is the exact answer brother. that's over. Digital Sum nine. 8 1 9 is being multiplied by nine. Digital The result should be even nine. 7 2 9 8 1 9 three is wrong Done 9 3 2 5 2 7 Wrong 8 1 9 3 5 8 1 9 this is nine 9 8 1 9 this is four you are wrong If yes then according to us the answer is the third option hey kids, is this what everyone's nine is going to get Multiple very good brother will move forward ₹72200 5 correct on 5/19% of 2 years CI and SI @ Rs. Tell me the difference. Amazing question. ₹72,200 But 5 Correct @ 5/19% Difference of 2-year CISI. Wow. Ok. come on come on. I will tell you my concept Brother here how can I treat you Principal is 72200 The rate of interest is 5/19% If you don't know then 19 * 5 = 95 and 500 100/19% Its fraction value is 1/19 of 100% means be one 1 19 You tell me when I tell you a concept Am. Here we will tell you one or two concepts. I will tell you. Look at two concepts my friends You will enjoy it. Suppose my friends, you have invested ₹ The interest rate is r% per annum. at r% At enum rate of interest. Then tell me How much interest will you get in the first year? First How much interest will you get in the first and second year will get? Tell this to all my friends. If you have invested Rs. rate of interest is r%. How much interest will I get in the first year? Look, in the first year it's only about the principal You will get interest. If the rate of interest is r%, then Interest only on principal in the first year will get. principal's name will you say yes sir You must understand this thing from the principal When we talk about understanding the tree method I have been the principal for the second year as well If you pay Rs. then you will get interest, otherwise you will get Even in a year the principal is Rs. 30000/- and interest is Rs. 30000/- You will definitely get the principal in the second year You will definitely get the interest but Compound interest means interest on even Interest. Compound interest means interest But interest also. when you come to second year The interest you earned in the first year is Rs. 10,000/- per annum You earned this interest in the first year. when you you will come in second year my brother second year The interest you earned in the first year In the first year, you will also get interest on that interest I will meet you my brother. That is, this principal You will get the essence of essence also. So is this Rs Isn't it square? Principal's It is not square my brother. You You will say, yes sir, it is absolutely correct. second year You will get this much interest. Friends this I showed you how to make a tree. 2 years old Here it is the interest for the first year. 2 years old. What is this total my brother? What is this total, kids? This is total 2 years There is compound interest. Total money for 2 years will add it. What is this, my dear brother? what is this? What is this? Look who Interest is received on the principal. Who The interest earned on the principal is Simple interest. This 2 year old simple I am interested. So what is this money? Then? what is this son? This is a 2 year CI And there is a difference of 2 years of SI. Difference This is also a method. that is, if my brother If the rate of interest is r% then find the CI of 2 years and 2 The difference between the SI of the year will be The square of r of the principal will be. The square of r of the principal. Say. Yes. If the rate of interest is enumerated at r% then for 2 years The difference between CSI and Principal The square of can be written like this. Principal * Square of r. Now like here is the question my brother. So Actually here we are calculating percentage I don’t have to do it. Have to do it in fractions. The rate of interest is 5 Correct. 5/9% fraction value 1 I just explained that for a 2 year old The difference between CI and 2 years SI will be that principal the square of r is ks please keep this in mind dear Friends, from here I am going to tell you a concept and I will tell you how much the principal is. Sorry brother how much is the principal here ₹72200 Rate of interest ₹72 ₹200 What is the rate of interest 1 What is the rate percent? Fraction of rate percent Take 1/19 then where is the square interest of 1 is the square of 1 i.e. 1/361 Now 361 * 2 = 722 i.e. ₹ 200 for 2 years The difference between CSI will be ₹200. Option. The 190 that they are telling is wrong. ₹200 is the answer my friend. tell me do you Did you understand this concept? I will explain it better now. tell me this quickly Solve question number 40. RPF SI paper on the same amount CISI in 2 years at same rate of interest The difference is ₹60. If the rate of interest is 4% then Calculate the amount invested. it is so easy Will go. If the rate of interest Suppose if the rate of interest is 4% then for 2 years What will be the difference between CI and SI? r² / 100 Square of 4 / 100 means 166%. Yes in percentage. If the rate of interest is 4% then the 2 year CSI How much will be the difference? this is in percentage You took it out and what is the difference? ₹60 here comes the. So, two zeros are added from the decimal point here. Will go. The value of 1% will be 6000/16 because three will give 3000/8, that is 375 will come down to 1% If we do 6000/16 then 3000/8 then 3000 by eight If we divide it, it will get 375. 1% 375 100% two zeros gum up. 37500 37500 Principal has arrived. Its an easy calculation. 6000/16 not divisible Had to do it. 3000 / 8 3/8 is 375000 multiply it by 375 i think all The kids understood there was no problem Is. We will move forward. tell me this, ask the 41st question Friend. 41st This type of loan will cost ₹22,000 at the end of 2 years This is the last question. 22,000 at the end of 2 years Compound interest at 5596.8 Is. Good Same time and same rate of interest What will be the simple interest on the amount? See Brother, I have given you the principal ₹22,000 Ok? You will get compound interest for 2 years has given it. I have given this for only 2 years right? ₹5596.8 So simple same time on the same principle interest. the question will not be solved until The interest rate will not come down until then. Brother Principal You have ₹22,000. You do not get the interest rate Address. Don't know. If your time is 2 years then You will have to find out the rate. Although in 22 11 is coming. It will be cut at 11. The option will be cut from 11. Now see how Will you find out the rate? Tell me how will you get it out kids you? The principal has given 2 years. look at 2 year old Things are very easy for you. If your The principal is ₹22,000. Guess how much it is Principal? ₹22,000 The compound interest for 2 years is 5596.8 5596.8 So tell me how much money you will get in 2 years Percentage interest received was almost withdrawn in 2 years Look, how much interest percentage did you get in 2 years? If your principal is ₹22 and you have to invest in 2 years I got interest of 5596.8 then how much percent Happened? Subtract two zeros from two zeros. Divide by 22. There is also a 10 in 22. 22 * 2 = 44 11 22 * 5 = 110 9 22 * 4 = 88 8 22 * 4 = 88 and this is 25.44% I have arrived. That means you will get 25.44% in 2 years Received interest. In 2 years. In how many years? 2 In the year. Does any child in this class have There is so much power inside that if you 25.44% If interest is received then what will be the rate of interest? There is a strong man Tell If the compound interest in 2 years is 25.44% The principal went out easily. Ok? So what will be the interest rate Brother? 10 and 10 succeed 21 10 succeed It is 21. This is 25.44 which is greater than 10. will be. If 11 11 is enabled then end will be 12% The rate of interest will be 12% per annum 12 12's saxy twice. 12 + 12 + 12 * 12 / 100 12 + 124 + 12 * 12 144 / 100 so That means your interest rate is 22% Enam has come, Enam has come at 12%, it's over Simple interest has become principal times rate Percentage multiplication time has come, 2 * 2 = 4 * 2 = 8 Eight will come after zero. This is option C. I think all the kids can do this and Now you will blow away these types of questions in your paper I will do it flying. type the next Type No.16. See the type number is 16. I Let me explain it to you. In this type, we have What have you put? I have typed in this that if you get 2 The difference between CI and SI of the year is given. Difference And if you are given the principal then you can pay the interest How will you find the rate? This is the question my brother. ok sir. A question arises on this. I I just explained to you that if my dear brother is 2 years old You have to find the difference of CISI of K. Let me give it a d. d this is what will happen The principal will be the whole square of r. Just 1 second ago I showed you the tree method I had explained it to you. 2 year CISI course There will be a difference d what will it be my brother? Principal Gurs's Hole Square If Your Principal ₹ If your principal is ₹ then after 2 years This will be the difference of CII. P here If you bring it then my brother R's D/P will come Square. If I go under route on both sides If I take it, then the rate of interest i.e. the rate Enumeration per percent has arrived d / P rate per percent Enam has arrived d/P you remember this. Although There is another way, but this will never happen Will not betray you. Remember this no matter what kind of data comes. If 2 The difference of CISI for the year is given to you, If the principal is given, then the rate of interest will come d/ A/P It is a simple concept my dear brother Straight. Now, I give you two questions on this I will get it done. first question 42nd tell me 42nd Question. 42nd question This is the question my brother Delhi Police This is for the Constable 2023 exam Compound interest on principal of Rs 54,000 Difference of simple interest for 2 years It is 1215. Tell me the rate of interest. This is yours My brother is the principal. This is for your 2 year old CSI has a difference. 2 years interest rate Please tell the rate. rate rate percentage which will come I just explained the concept to you. under d/ What is the p under d/p difference? 1215 And how much is it my friends? 54000 54000 Tell me, will my brother come? Ok. 9 Subtract the six 54 from 18. no a little less than 18 Tell me this won't be cut. 1215 / 54000 From whom do we take a bite? If you subtract three then 27R is under root My dear brother, you will not come out from here Let's deduct 9000 from it And why would it be cut by six? My dear, you will cut it either with three or nine Brother nine 6000 times and 9 * 1 = 9 and 3 * 1 9 * 3 = 27 4 9 * 5 = 45 okay brother it is clear you will say yes sir It's very clear, this will cut me friends 15 times 400 and 15 * 9 1359 3 of 9 came out, 20 of 400 came out under 3/20 3 of 9 came out, 400 came out to be 20, this is 3/ 20. In the fraction given, this is expressed as a percentage of 15% Let's say 1/20 5% 3/20 15% in percentage How much will come 15% Is it okay? ok there is another way but this is for you Take care. There is no problem in this. Tell me this one by one because when it becomes a fraction things start to hurt you Brother. ₹5,200 is your principal. Difference between CI and SI for 2 years is ₹ 700 Is. 2 years of CSI difference asked you What will be the rate of interest? Tell me quickly From. You have to find out the rate of interest. Rate Percentage The difference of 2 years of CSI is given to you ₹700. So what is the concept? How much is the d/p principal? ₹25,200 These two zeros will be cut from here. Seven to me Brother 7 * 3 = 21 and 4 7 * 6 4 36 1/36 If we take the under root of 1/6 then it comes to 1/6. 1/6 has come. In which one, my brother? In fractions. 16 correct in percentage 2/3% this answer is B. The percentage came to 16 correct. 2/3% me Looks like all my brothers understood it well. Now I The most important thing you need to know about compound interest is I am going to explain the concept. To all Important concept tree method my brother. Tree Method: Everyone writes heading in their copy I will put it in, my brother. Tree method everybody Tree method. Tree Method: My brother, please listen carefully. I just gave you this 2 year old I taught you how to make this tree. how many children Did you understand, my brother? Look when I I teach in the class on the application I teach you how to make a tree for an entire one and a half hours. See We have developed a formula to calculate the compound test I understood that method. We understood the 100 method. We understood the ratio method. But as much as these There are methods in which there are only beginning and end keys The value comes. The middle ground disappears Is. The tree method is a method in which every What is the interest on one year in the first year? Others What is the interest per year? What is the interest in the third year Is? What is the interest in the fourth year? fifth year What is the interest? interest written every year It happens son. Clearly what is the difference Is? How much CI is there, how much everything is written like this It happens. That's why it is called tree method My friends. Is it okay? Let's be careful Understand this. I will explain with an example By example. I don't have much time Brother. If I had time I would have told you more, but no one No problem. Suppose you have ₹10,000 Invest, my brother. Suppose that you I have invested ₹10,000. Compound The rate of interest on the loan is 10% for 2 years For. Suppose you have invested ₹10,000 My brother is doing this at 10% compound interest Dear kids, the rate of interest is 10% interest for 2 years at the rate of so you tell me How much interest will you get in the first year And how much interest will you get in the second year I will get it. Tell me is this the first year or the second This is the year if you invest ₹10 then you will get interest If the rate is 10% then in the first year you will have to repay the principal You will get 10% interest on ₹10,000 i.e. 10% That you will get ₹ 1000 interest in the first year. You will get ₹ 1000 interest in the first year My brother is in first year. He is in first year. Ok? I will come after that. Second Year The principal will definitely get 10%. 10% of 10,000 is 10% of ₹1,000 ₹ 1,000 in the second year and ₹ 1,000 in interest I will get it only. but the compound interest Meaning, interest on interest also. So what you The interest earned in the first year is what you invested in the first year Interest earned is ₹10 on this ₹1000 as well You will get 10% interest even on ₹100 interest My brother, you will get interest of ₹100 i.e. 2nd How much total interest will you get in a year? In the second year, ₹1000 + ₹100 = ₹1100 You will get ₹ 1100 interest in the second year. First year ₹1000 interest in second year ₹1100 Interest. you tell me in 2 years in 2 years you How much total interest did you get? In 2 years. This 2 Brother he is CI of the year. This is a 2 year CI. How much? CI for 2 years is ₹2100. ₹2100 my brother what is this this son principal The interest received on this is 1000 + 1000 ₹2000 This is 2 year simple interest for 2 years Simple Interest This is a full 2 year CI. this principal But the interest that you get is simple interest. Then what is this? ₹100 but what is this then? ₹100 for 2 years CI and 2 years SI There is a difference my brother. i.e. 2 years old Simple interest is ₹2000 for 2 years If the compound interest is ₹ 2100 then for 2 years What is the difference between CI and 2 years SI Is? ₹100 will come ₹100. you will say yes sir Absolutely correct no problem. Good I understood it that way. Ok? be careful look my brother look carefully 2 The tree of the year which will be made will always be in this form 2 year old tree will be made of 2 year old tree Simple interest in the first year and simple interest in the second year The interest will remain the same in the first year, simple Interest of first year and interest of second year The interest for the year will remain the same my brother, simple interest And friends, this interest will come here also But you will also get interest my friends Like you can see here for ₹ 1000 you 10% interest was received on ₹100 and ₹1000, you got 10% I got ₹100 interest and understood the interest as well If you get interest then that means a tree of 2 years It will always look like this, that is, how many times will this came once and once a came my brother two Bar A comes twice, Bar B comes twice How many times has it come, it has come once means This will be the compound interest for two years. Now from here I will tell you one thing. Golden You will not understand the ratio right now. in a little while Will you understand what the Golden Ratio is? A How many times is it being counted? twice. A how many times are you counting my dear Brother? twice. How many times is B being counted Is? Once. This is the golden ratio. 2 years The golden ratio is 2:1. The golden ratio for 2 years is 2:1. Wait a moment. Keep calm. understand everybody I will come. 2 Year Golden Ratio 2:1 This means how many times A is being counted Is? How many times should this B be calculated twice? Used to be? Once. Golden for 2 years The ratio is 2:1. my brother as an example understand. The example will make things clear. Child, please tell me with examples. by example Suppose the principal is ₹00. Suppose the principal is ₹00. The rate of interest is Enam at 8%. so tell me 2 year compound What will be the interest? Assumed Principal ₹50,000 interest rate is enumerated at 8%. 2 years What will be the compound interest of ? this is first year and this is your second year. it It is first year. This is your second year. Tell me my brother. tell me what Will he come? Is this the first year or the second year? So in the first year, the interest will be only 8% of the principal will get. 8% of ₹00 ₹4000 First year ₹4000 You will get interest. Principal's second year too You will definitely get 8% interest. Principal You will definitely get interest on the principal of ₹500 will get. 8% of ₹00 ₹4000 but you The interest earned in the first year is transferred to the second year When you come next year, whatever you have done in the first year Interest earned and interest on that interest too You will get 8% of ₹400 i.e. ₹320 This will be the difference of 2 years CISI 2 Compound interest for one year i.e. 2 years How much will my brother get as compounding for 2 years Interest will be Rs. 4000 twice plus ₹320 That is ₹8320 The compound interest for the year has arrived. in which The interest in the first year is ₹4000. Second year ₹4320 This tree explains the same thing with the golden ratio How will you do it my brother? from the golden ratio Listen carefully, my brother. I….to you It was explained that there is a golden ratio for 2 years 2:1 Principal is ₹00 Rate of interest is 8% If the principal is ₹500 and the rate of interest is 8% then You keep investing 8%, the principal is Rs. 50 If the rate of interest is 8% then you keep withdrawing 8% What will be 8% of ₹50, ₹4000 Then what will be 8% of ₹4000? ₹320 for ₹4000 8% ₹320 We have to write ₹4000 twice. then 4000 Multiply 4000 by two Multiply 8000 by two We have to write ₹320 once. Once Multiply by one plus ₹320 ₹8320 Compound interest has arrived brother. ₹8320 This complete calculation will be done for 2 years Compound test will come. But if only This calculation should be done only after this 2 years of CI and 2 years of SI There will be a difference. Brother this calculation If we multiply one by 320 then only this This will be a calculation, my brother. This will be the calculation that will happen from here, these 2 Difference between CI of a year and SI of 2 years will come ₹320 If I understand then it is the same thing, it is written here This is the Golden Ratio written using the Tree Method How did I get 4000 using this method? 8% tax on ₹00 4000 then tax at 8% of 4000 is 320 My friend has come, I think all are brothers Look, I have understood the matter well I will explain it better to you here, Brother, everybody listen carefully for 3 years Tree for 3 years once if you understand nor will you answer the questions as if they were butter Once you understand this, suppose you Invest ₹10,000. Suppose that you Brothers, invest ₹10,000. ₹10,000 You invest ₹10,000. just once Understand it friends. The rate of interest is 10% Enum. I have assumed the rate of interest to be 10% Enam per annum. So tell me how do you like this How much interest will I get in the first year? How much interest will you get in the second year and How much interest will I get in the third year? First How much will be the interest per year? in second year How much will the interest be? how much in third year Will there be interest? Tell me. of compound interest means interest on principal and interest on Also interest. interest and interest on principal But interest also. You tell me first year principal You will get interest of 10%. Principal It is 10,000. 10% of 10,000 is ₹1000 first You will get ₹1,000 interest per year. Second Year How much will the interest be brother? Principal 10,000 Is. 10% of ₹1,000 will be given to you ₹1000 in the second year You will get ₹1,000 interest. ₹1000 But my brother you bought the money last year as interest If you had earned this Rs. 1000 on this interest then you would have got it too You will get interest on this 1000 also You will get 10% of 1000 i.e. ₹100 interest and I will get ₹100, tell me did you understand? tell me did you understand it when you were third if you go in the third year then in the third year The principal is Rs. 10,000 10% of the principal So you will definitely get interest. 10% of ₹1,000 ₹1000 But the interest you have earned in the last two years When you enter your third year, you earn If the principal is ₹10,000 then interest will be received You will get ₹1000 but you have invested in the last 2 years The interest I earned in the last 2 years Interest will also be received on interest. Last 2 years Also on the interest you earned in You will get interest. look at the last 2 years You put ₹1000 here, ₹1000 here, ₹1000 here, ₹1000 here This totals ₹000 + ₹2000 interest earned. In the past years you have invested ₹1000 here and ₹1000 here Total interest earned is ₹2000. So you will get ₹2000 You will get 10% interest. That means ₹200 interest will get. Say ₹200. Yes. Listen to one thing. Whatever comes here, double of that will come here. If If it is 100 here then 200 will come here. This interest I have received 10% of ₹1000. This is 10% of ₹1000. ₹100 this interest is received 1000 + 1000 doubled 10% of 2000 10% of 2000 ₹200 my brother. If it is 100 here then it will be double here. Here If x is there then it will be 2x here that on 1000 Is. You will get this for 1000 + 1000 and 2000 Combined ₹200 When you come to the third year, then in the third year You have received interest on this ₹100 also. In the third year you will get ₹100 as interest I have found it. when you are in your third year You will get even ₹100 interest in the second year I found it. If you come to third year then you will get ₹ 100 I also received interest. Even on this ₹100 you will get You will get 10% interest. 10% of ₹100 is ₹10 My brother Tree. do you understand what i am saying did I come? That means in third year this 1000 + You will get interest of ₹200 on ₹1000 and ₹2000. This My brother, you will get 10% interest even on ₹100 ₹10. That means when you make a tree at the age of 3 years So a 3 year old tree will look like this. A A The simple interest is same for all three years. Here If there is B then there will be 2B here only. double the same will be. If it is 100 here then it will be 200 here only. That this is interest on Rs 1000. This is 1000 + 1000 2000 is the interest on double the amount. And this will happen This 3 year old tree will always look like this to me Brother. This will be a 3 year old tree my friends. If I add the total. be careful Please listen. Let me add up this total. These What is the total? So you will say sir this is total 3 years compound interest. 3 years old Compound interest. I ask you this What is? What is this? this is this Interest accrued on the principal. these 3 years The simple interest is of. 3 year simple interest. So tell me then what is this Children? What is this? What is this money? Then what is this money? this money these 3 Difference between CI of a year and SI of 3 years Is. This is for 3 years CI and 3 years SI. There is a difference my brother. This is the difference of 3 years CISI. You If you make a tree then this money will be used for 3 years CI and There will be a difference of 3 years of SI. You Tree If you make it then you will have to do a lot of hard work to get it together. 3 The compound interest for the year will be generated my brother. What is this ₹100 compounded for 3 years? it What is ₹100? ₹100 what is this ₹100? These ₹100 is the difference of 2 years CISI. This ₹100 for 2 years CI 2 years SI There is a difference. Every penny counts here You can see the account of every single penny of money. I think all the kids are mine I understood the point. If you don't understand now I can't do anything more than this. Son We can't do anything more than this. If you talk about the golden ratio here then 3 year golden ratio which will be for 3 years The golden ratio will come brother how many times a look a this is 3a + b + b 2b b + b + 2b 3b and this c once 3 years golden what is the ratio a how many times to count Three times b How many times to count money Three How many times should I count the money? Once it is 3 The golden ratio of the year is 3 3 1 now tell me I understood it 3 year golden ratio 3 one my brother 3 If you fulfill the golden ratio of the year If you do the full calculation you will get 3 You will get compound interest for the year. if you You will calculate only the last two Last two years compounded for 3 years Interest and simple interest for 3 years You will get the difference. 3 years CI and 3 years SI You will get the difference. You might not have understood my Brother. Let me explain it to you. One more You please give me an example. If The principal is ₹25,000. Assume the principal It is ₹25,000. The rate of interest is enumerated at 8%. So tell me what is the compound interest for 3 years will be? 3 years old? This is the first year. These I stayed in second year. This is the third year. 3 years old What will be the compound interest? Tell me. If the principal is ₹25,000, the rate of interest is 8% But if the interest is enumerated, then the compound interest for 3 years What will happen? First year principal of ₹25,000 8% You will get ₹2000 interest. 2000 second year Also principal 25 years 8% interest ₹2000 will get. But in the second year, whatever you did in the first year I had earned ₹2000 interest on this ₹2000 Even at 8% you will get ₹160 interest of ₹10 If you come in the third year then the principal is yours ₹2000 Sorry ₹25000 8% of ₹25000 ₹2000 you will get interest but when you If you come in the third year, then in the first 2 years Interest on the interest earned will get. this you 2000 + 2000 this 2000 + 2000 4000 Interest earned then 8% of 4000 is ₹000 8% interest of ₹320 will be ₹320 My dear brother, you earned ₹160 in the second year Earned interest on this ₹160 in the second year as well You will get 8% interest. 8% of ₹10 will come to 16 8 128 12.8 12.8 That is, the compound interest for 3 years will come that will come ₹00 for 3 * ₹6000 plus 160 + 320 ₹480 + 12.8 So this will come to ₹492.8 [music] This 3 year CI will come. what did you understand Went? If I ask you, tell me about a 3 year old What is the difference between CI and 3 years SI will be? So this money is invested for 3 years CI and 3 years There is a difference between this money and this one. The difference is 480 + 12.8 That is 492.8 this happened my brother tree if this thing is My friends, we have to do it with the golden ratio 3 The golden ratio for a year is 3 a 3 years for my brother 3 years write so much There is no need for 3 years How much did I tell the principal ₹25000 The principal is ₹25000 at the rate of interest is 8% Enum. Keep doing 8%. Look, it is only 8% Is. It is only 8% of Rs 25,000. Keep earning 8% 8% of only ₹25,000 ₹2000 8% of ₹25,000 25 * 8 = 200 ₹2000 ₹00 8% 160 2 * 8 = 16 8% of ₹10 16 * 8 = 128 12.8 12.8 ₹2000 It will be counted three times. Look, you came 2000 2000 2000 ₹6000 Plus ₹160 will come thrice. ₹10 and ₹160 Double 160 Double of 160 means ₹480 This 12.8 will be counted once. 12.8 This will come my brother 3 years compound interest. This is the golden ratio. Here it is Tree method. Here is the Golden Ratio method. If you only do this later calculation here You will see the later one, that is, the starting one Ignore it, this is 3 years CI and 3 The difference in the SI of the year will come directly 3-year CI 3-year SI difference This is 480 + 12.8 this is 3 year CI and 3 What is the difference between the SI of the year 492.8 how much 492 9.8 Tell How much Watering Tell me kids If you understood brother, I told you the first 2 taught me to make a year old tree and then a 3 year old Taught my brother and three year old to draw a tree The tree will look like this A A B to B and C like We taught you for 2 years, 3 years I taught him exactly the same way for 4 years and 5 years You can also make a year tree yourself My friends, listen carefully 2 year old The golden ratio is 2 1 3 years happens for 31 It is for 4 years 4 6 4 1 4 years old for 4 6 4 1 if you make a 4 year tree A 4 year old tree will become like this my brother Simple interest will remain equal every year for 4 years of this would be B this would be 2B here would be 3B Here C will be here B and 2B 3B will be 3C This will be D my 4 year old tree will become like this brother 4 years old golden ratio 4 6 4 1 5 years for 5 10 5 1 for 5 years 5 10 5 1 which is the last calculation my brother i.e. that this calculation is the last one, Here is the calculation of CI and SI There will be a difference. The last one from here The calculation is the difference between CI and SI Will go. This is the difference of CISI Will go. If you calculate the whole thing from here Compound interest will arrive. Complete calculation If you do this, you will get compound interest. Tell me, child remember this. So 2 for 2 years and 2 for 3 years for three three one for 4 years 4 6 4 1 5 For the year 5 10 5 1 5 10 10 5 1 5 10 5 1 Brother, I will tell you the question, it's amazing, see it now How can I teach you to answer questions? Am. Type number 17 Let us use the tree method I have to learn. Our focus is on the options approach It is not there my brother. Let us learn the tree method Is. See question number 44. first question If interest is compounded annually then How much is the principal on 10,625 my brother? ₹1625 2 years compound interest at 8% rate Tell. I will do it with option. But I to you I want to teach. Golden Ratio 2 years old The golden ratio for is 2:1. The rate of interest is Enam at 8%. So take out 8% brother. 10,000 8% of 800 8% of 625 8% of 625 50 View 625 * 8 is 5000. So 8% of 625 is 50 will come. 10625 Withdraw 8% of 850 Then take out 8% of 850. So 8% of 800 is 64 8% of 50 is 4 i.e. 68 8% of 850 add 68 twice of 850 1700 68 * 1 = 68 ₹168 Answer has come 2nd year CI Exact 1768 Come using the golden ratio method, son. Question number 45 see this brother understand the concept It takes time to understand and time to explain. The questions will not take up time. Now you have the question Now we will fly like a bullet. Swara works annually in a finance company 3 years at 12% compound interest rate deposits ₹75,000 for. 3 years later How much interest will Swara get? Principal is ₹75,000 The time is 3 years. The rate of interest is 12% for 3 years What will be the compound interest after this? 3 years old I taught you the golden ratio 3 1 For 3 years you will say Sir Oscar goes to you How much is the principal? ₹75,000 ₹75,000 What is the rate of interest? Enam at 12%. 12% Keep doing it. 12% of Rs. 75,000 12% of 75000 9000 Divide 12% by 3/25 3000 3 = 9000 by 75000 12% 9000 12% of 9000 12 * 9 = 108 1080 12% of 1080 So how much will it cost brother 120 and 96 129 29.6 Did I do the right thing? 12% of 1000 120 and 12% of 80 9.6 This is Went. 3 year CI will come my brother. You have to add them by multiplying them. You have to add by multiplying. Bus 9 * 3 = 27000 double of 1080 is 3240 Plus 129.6 This will come kids. This 3 year CI will come My brother. 3 years all over the world and There is no way to exit sooner than this Please give me the answer. 6 will come or not Is. It will come close to 27 and 300. This is the answer. It will come close to 300. This is the answer. Tell me it's over. Come on next question. Tell me the question Do number 46, son. 46 question marks. 46 Make it quickly. If the interest is compounded half yearly then ₹ 1.5 years compound interest rate @ 4% per lakh Test 2 years ₹ 1 lakh @ 4% for 1.5 years Tell me if the time period is 1.5 years you are half yearly If you compound it then you will have three cycles of 6 months each Baneng 6 month 6 month 6 month 18 month It's been 1 1/2 years. Interest is 4% in 1 year. Rate of interest 4% 4% for 1 year then 6 months 2% in next 6 months 2% 2% so what you You will get CI and you will get success for 22 two. The successor of two will come. The successor of two will come. Golden ratio for my brother three cycles This is not for three years but for three cycles It's okay, son. Golden for three cycles How much is the ratio 3 1 principal? ₹ Lakh How much is the principal? ₹2 lakh 2% of ₹ lakh do it. 4000 ₹ 2% of Lakh 4000 Two Zeros Remove Will go. 2% of 4000 2% of 4000 80 80 2% 1.6 2% of 80 8 * 2 = 16 1.6 Multiply and add 4 * 3 = 12 + 240 + 1.6 12240 + 1.6 means 12241.6 The answer has come, option B. What an amazing question that was. tell this to my Friends. Do question number 47 in front of you. Make 47. 33.33% for the same principal for 4 years at the rate of What is the ratio of CI and SI at the end? Very wonderful question. If the rate of interest is 33.33% then at the end of 4 years CI and SI What will be the ratio? You took 4 years to solve this question Expressing the ratio of CI of 0.5 to 4 years SI Is. If the rate of interest is 33.33% whose fraction value is 1/3 A 4 year old story is going on here. 4 years old This is the golden ratio for you, son. like 3 years old I have to do it like this for 4 years. 4 years The golden ratio is 4 64 1 for a 4 year old The golden ratio for 4 years is 4 64 1 tell me yes now you will say sir principal then know there is no need to know Actually you need to calculate the CISI ratio. listen carefully to CISI if we Story Watch Us Again And Again We Again 33 1/3% we will have to do 1/3 again and again 1/3 1/3 1/3 1/3 then the principal will have to What to do? If the story is of 4 years then you The principal has to multiply 3 by 4 i.e. 81. Take it. Assume the principal is 81. If The story is of 4 years, so whatever is its base Power four is 3 years so power of base 3 is 2 I have two years of power. Just accept it like that. If interest The rate is 33.33% 1/3 so I assumed that The principal 3 to the power 4 is 81 that you get 33.33% Have to keep doing it. One 1/3 has to be done. of 81 1 / 3 27 then 1/3 of 27 9 then 1/3 of 9 3 Then keep doing 1/3 of 3 1/3. 33.33% It will keep coming out. 1/3 of 81 3 of 27 3 of 9 This one will come. multiply whole by whole When you multiply it, it will be 4 years old Compound interest will arrive. When you complete the We will multiply 27 * 4 = 108 + 6 * 9 = 54 + 4 * 3 = 12 + 1 * 1 = 1 108 + 54 54 + 12 66 and one 67 means it will come to 175 The son has come. The compound interest for 4 years is 175 4 The CI of the year has arrived, the total sum is 175 simple What interest will you get my brother, this is the first It's a calculation my friends, it's always simple First calculation is of interest First of simple interest and this is This is the calculation of the difference of CISI And the whole calculation is complete, this is mine Sorry this is the complete calculation of CISI the difference of If you add this simple interest and the whole If you take this, you will get compounded for 4 years interest. That is, simple interest which is That is 27 * 4 is 108. So compound interest 175 Simple Interest for 4 years 108. this ans is C. This is an amazing question my friends. I enjoyed it It will happen after doing it. will proceed further. your question number is Front 48. Please make this question. MTS Best question of 2023. A sold 62,500 Deposited at the rate of 8%. at the end of 2 years What will be the compound interest? If interest is compounded half yearly. Interest is compounded half yearly. My Brother, listen son. Please listen to me carefully. what is the time? 2 years. my friend time is 2 years. 2 years means It is 24 months. The time period is 2 years. 2 years old It means 24 months. So if you compound it half yearly then it will be 6-6 Four cycles will be made in a month. 6 month 6 month 6 month 6 month. 24 months have passed 2 Year. The interest is 8% in 1 year. Interest 1 Year I am at 8%. then how much will be the interest in 6 months will be? 4% 4% 4% 4% so what you get is CI 44 4 is a success so apply the ratio here It's not easy, four times four is successful Golden here with easy to extract formula Ratio method is the best check by option The golden ratio for four cycles is 4 6 4 1 Four cycles in one single arrangement 4 6 4 1 How much is the principal son ₹62500 Principal is ₹62500 You will get 4% interest every 6 months Succeed four times and keep earning 4% Rs. 2500 4% of ₹62500 4% of the percentage will be subtracted from two zeros 625 * 4 for ₹2500 Then 4% of ₹500 = ₹100 ₹100 25 * 4 = 100 4% 4% of ₹4 4% of four 4 * 4 = 16.1616 will come and There is only one answer that will take you to the end. D This will be my answer. try it out if you want 2500 square 10000 + 600 + 16 + 1.6 multiplication to add 10616.16 Is he coming or not, tell me quickly From. ok sir. Come forward. Please take the next question, my brother. Question number 49 Who will ask the 49th question quickly? At ₹48,000 Tell I have to tell you the compound interest. Compound Interest has to be told in 1 year. For how much? 48 i.e. the rate of interest on ₹4,80,000 is 20% on Enum. 20% interest is compounded quarterly Used to be. Be Compounded Quarterly Used to be. Tell me son, look at this question also. You can do it using the golden ratio. to this question also but according to me it is more calculation It is in it. Here you can only match the unit digit Do it. bro here only you unit digit match Do it. better than i think will remain. If the duration is 1 year and you are investing quarterly Compound it. Quarter means 3 month. so 3 month 3 month 3 month 3 It's been a month my friends 12 months means That is 1 year son the interest is 20% in 1 year. So What will happen in 3 months in a quarter? It is 20% in 12 months. 5% in 3 months 5% 5% 5% will also become the golden ratio. 5% Keep being successful. but my brother I will match the unit digit. Digital even I can apply it. But there is no risk of digital money We will take it. Match the unit digit when The unit digit appears different. If ₹480 Suppose you are the principal. every 3 months 5% interest is 1/20 every 3 months. Then how much will the amount be, my brother? The amount will be 21/20 every 3 months. If this happens in 3 months then it will happen in 12 months What will happen? Power four. Every 3 months you will get 5% interest on Rs 120 21/20 times will become 33 months of four months cycle power four in this you will get the principle I have to deduct ₹480 this is your CI which will come to me brother unit dit will match only saw son 20 to the power of 4 if 20 to the power of 4 look ₹160000 2 4 16 and this will give four zeros i.e. that brother this whole thing will go away thrice multiply 1 4 1 by 3 exactly three times Three and its unit here is zero. That means that Unit three of the answer will come. So this is the answer Is. tell me what? 4 to the power of 20 rounded down to 4 to the power of 20 is 16 And these four 0's are then subtracted from this 480 three times. Will go. 1 4 1 * 3 The unit's digit is 3. Its unit is 0. 3 - 0 will end in 3. End. Go ahead my brother. next question question The number in front of you is 50. The question is, tell me 50 students before you. Yes Are. Yes. ₹1 lakh from a bank at 7% interest rate for 5 years were borrowed for. Interest compounded annually It happens. Calculate the interest. Tell me son. The question as it is is in the CPO 2023 paper. I am not doing this of my own free will. Google Please search on it. 510% more children answered this question No one might have done it in the paper. There is a 5 year compounding period. People not 3 years old Can take it out. Asked by a 5 year old. 5 years old I taught you the golden ratio for this. 5 10 5 1 Golden Ratio for 5 years 5 10 5 1 Remember this golden ratio. for 5 years How much money is there in the bank? ₹1 Lakh. ₹1 Lakh If the principal is ₹1 lakh, the rate of interest is 7% If it is then keep doing 7%. 7% of 1 lakh 7000 7% of 7000 490 Look, 7% of 490 is like 490 for us. If you want to take out 7% then 49 * 7 = 343 Now another decimal place will be added. 34.3 Now we will multiply 34.3 by 34.3. People have to withdraw 7% again. Say How much will it cost brother? 7 to the power of 4 will be no 2401 7 to the power of 4 will be 241 2.401 Then 7% of this will be very small brother, 2.4 7% will be very small so it will be my Friends, you should ignore this, ignore this Give it and it will come my brother 5 * 7 = 35000 35000 plus 10 times 490 49 4900 plus 10 times 34.3 is 343 Five times of + 2.4 is approximately ₹12 so aprox is coming up. this will come bhaiya 35 This is not the answer, both of them. In both of these there is an answer from 35000 and let's make it 5400. 243 and 12 255 ₹4255 answer has come ton tana tan tan tan tara d option ₹255 say yes ok sir. Along with this, this chapter on compound interest It ends completely. ends Is. It is destroyed. I've given you my Dear brother, I told you everything. I have told you about Percentage Method, Successive Method, Ratio method, tree method, everything was explained My brother. Ok? How did you like today's class? Are you interested? I must in the comments Please tell me. I have worked very hard. The concept also You have explained it very well. I'll show you in the sheet I will also ask some extra questions. To them too you Please make it. ok sir? That's it for today. This