first of all thanks for being here in my youtube channel in this lesson number one on the topic percentage now we are going to see a very small introduction about this topic so after watching this introduction part don't forget to watch the remaining lessons because lesson number two I have solved some basic question then lesson number three after two important formula that is based on what percentage then lesson number four is based on salary then lesson number five is based on maths then lesson number six is based on candidate waters etc so remember that percentage topic plays a major role in quantitative aptitude section if you want to solve like time and work time and distance simple interest component is fastly where you need to apply some percentage techniques there so percentage is most important and remember percentage basics is most important you need to be very much strong on the basics only then you can go with more number of mind calculations in the exams so now we are just going to see a very small introduction about the topic percentages so before that you know what is percentage and out to remove the percentage write those techniques I hope you everyone knows it but let me take us any number and we can find that answer that is fine by using the percentage by a normal method as well as by a mine calculation got it so let me take any one number we can take a rupees 2008 country for example I have just taken any common number that is rupees 2800 for example if someone is asking what is 50 percentage of this 2,800 let example if someone is asking what is 50 percentage of 2800 first let me go with a normal method how to write this in a proper form see here 50 got a 50 percentage of 2008 so this is the proper format of writing what I have asked if they ask what is 2800 out of this mm I'd conduct what is 50 percentage you need to write like this 50 percentage of 2800 the exact meaningless out of this 2800 our target to find what is 50 percentage a normal way of solving right if you need to remove this percentage what you need to do so 50 divided by unregarded in case of removing this percentage you need to put 100 in the denominator so 50 by hundred of which is multiplication and here we have two thousand eight converts so now we need to cancel it zero and zero so similarly we can cancel zero and zero here so now our target to multiply 50 into 28 so finally you can same one four zero zero will be 50 percentage of this 2800 so this is a normal way of calculation cut it without any using mind calculations or nothing shortcuts nothing we are just going with a normal method what is a mind calculation what is actually 50 percentage 50% ages half of the number right yes or no what is 50 percentage 50% it is just half of the number so out of this 2800 if someone is asking what is 50 percentage you need to say just half of the given number 2800 what is the off thousand four hundred so we can directly see in mine calculation where 50 percentage is equals two thousand four hundred got it in both the way are going to get the same answer but here we are going with that a normal method by removing percentage by dividing by a hundred and then we are multiplying by two thousand eight hundred and finally after canceling zero and zero we are getting an answer as thousand four hundred but in a mind calculation if you think logically 50 percentage nothing but off of the number half of the number that is 2800 half of the number will be thousand four hundred so this will be 50 percentage maybe go with some other examples right so that you can able to understand okay so let me take any other example if they ask what does in percentage tell me ten percentage for this two thousand eight hundred rupees so what is the exact format of writing this here ten percentage of two thousand eight hundred rupee so this is the exact format right if they ask what is ten percentage out of this two thousand eight hundred you need to write in this format ten percentage of two thousand eight hundred so similarly in order to remove this percentage you need to divide this value by hundred and of determines multiplication so the remaining numbers are two thousand eight hundred is equal to question mark so now you can cancel zero and zero similarly you can cancel zero and zero so twenty eight into ten will be two eighty so this will be that ten percentage of the given number but if you need to go with a mind calculation it is very much simple that ten percentage of two thousand eight hundred remember that if they ask what is ten percentage or one person it is very easy if they ask what is ten percentage just place one decimal point leaving the last number from the right hand side got it to see I am just going to place one decimal point leaving the last number from the right hand side so two thousand eight hundred if I place one decimal point by leaving the last number alone then the answer is to 80s or no yes in case if they ask what is one percentage so what you can do is again place a decimal point by leaving the last two number from the right hand side if you leave the last from the right hand side so one percentage will be 28 got it this is called as a basic mind calculation so 50% days will be half of the number ten percentage by placing a decimal point by leaving one number from the right hand side similarly by placing if they ask what is one percentage just place a decimal point by leaving last two numbers from the right hand side so this is called as one percentage 10 percentage 50 percentage similarly if you find what is one percentage in the normal method you will again going to get the same answer as 28 just see there will be an huge difference right very huge difference and time-consuming if you go with a normal method but very simple if you go with mine calculation I will tell you any one number at example let me take if someone is asking what is three percentage or we can take what is 30 percentage 30 percentage of 2,800 in a normal way what you will do you need to write like this 30 percentage of 2,800 is equals to question mark then you need to remove this percentage that is 30 divided by undred so into 2,800 then you need to cancel zero zero zero zero again then you need to multiply 28 into 3 that is 3003 for the remaining will be 2 that is 84 840 so in the normal method we found 30 percentage of 2800 is 840 but if you need to go with a mind calculation without pen and paper you can solve just see out of two thousand eight grand read what is ten percentage just click that you can say what is ten percentage in percentage is 280 what about 30 percentage 10 into three will be 30 so similarly 280 into 3 will be 30 percentage or not is so 0 24 so remaining will be 2 that is 840 rinse garden you can see how much huge difference in calculations right it take nearly five or six seconds Charlie five seconds but here just like that you can say answer is 8:40 so we know 10% ages 280 they are asking what is 30 percentage if you multiply this 10 into 3 it becomes 30 percentage so what I have did is we know 10 percentage is 280 so I can directly multiply into 3 so that we can say answer will be 30 percentage if they ask what is 40 percentage what is the easiest technique you know what is 10 percentage if they ask us to find what is 40 percent they just multiply this number by 4 in case if they ask what is 5 percentage see if they ask what is 5 percentage just like that we can say the answer because 10 percent it is 280 so what about 5 percentage 5 percentage will half of this number so out of this number will be 140 so we can say 5 percentage will be 1 point so similarly if they ask what is 20 percentage it is easy or difficult to find this 20 percentage it is easy because 10 percentage will be 280 what about 20 percentage is 560 so we can say 20 percent ages by 60 so these are the easiest techniques without using any calculations or this or that you can able to find the answer but it requires lot and lot of practice so only if you practice more you can able to crack the question for example if they ask what is 35% rate some students will ask a doubt like this if they ask 35 percentage how can I find in mine calculation someone has has been 35 percentage of 2800 so what you can do is I can write this 35 percentage as 30 percentage plus 5 percentages or no the t + + h + 5 percentage will be 35 percentage and we know what is 30 percentage finding will be easy because we know 10 percentage is 280 30 percentage will be 840 so we can say 30 percent date is 840 next is 5 percentage 10 percentage will be 280 whatever five percent date five percentage will be 140 to zero eight hundred nine so nine eighty will be thirty five percentage but this comes only in practice you need to practice more take any other number like nine thousand four hundred just take any example we can take as nine thousand four hundred initially it is just small small numbers then after practicing try to pick up some difficult numbers like two thousand three hundred and forty or five thousand six hundred and eighty like that but initially while practicing trying to pick some of the easiest numbers always so nine thousand four hundred if they ask what does ten percentage what is the answer ten percentage of nine thousand four hundred will be nine forty it just plays in a decimal point one decimal point from the right hand side by leaving their last number got it if they ask what does one percentage will be ninety four if they ask what is 50 percentage off of this number four thousand seven hundred something if they ask what is 25 percentage 50 percentage off will be twenty five percentage so you need to pick more and more numbers and you need to practice more so only then you can go with this mind calculations and also you can able to solve most of the question easily so that's it about a normal method and a mind calculation so let me move on to another important property where if you take any local author or foreign author books any aptitude books the first point they have given a small property in the topic percentage so I will teach that what is the main property of it so now we can look into this most important property in the topic percentage now if you are take any foreign or local other books definitely the first point will be this X percentage of Y is equal to Y percentage of X even in most of the SSC exams you can able to see this question was repeatedly asked in 2015-2016 for one mark usually they ask this X percentage of is equal to question 1 so what do you need to say X percentage of Y is equal to Y percentage of X let me take any one example question so that you can able to understand this simple properties without any by hearting this we can say how this property comes example let me take a number that is 6 percentage of 50 is equal to question mark if someone is asking out of 50 what is that the six percentage think that if you are a beginner finding an answer for this question is easy or difficult it's very difficult for a beginner I am saying for a beginner definitely it will be difficult because they are asking what is 36 percent age of 50 what usually we do we find what is 10 percentage then we multiply by into 3 so that we can take we get 30 percentage then we need to find what is 6 percentage what we usually do we will find what is 1 percentage then we need to multiply by 6 so that we can get 6 percentage and then finally we add both the answers so that we will get that the 6 percentage or otherwise we need to divide 36 by hundred in 250 and you need to cancel all these values but by using this property you can easily change these both the numbers just see what I'm going to do is I am just going to interchange both the numbers because we can say this pattern as X percentage of Y yes or no I am just taking the number 36 as X percentage and the 50 as Y percentage no I am going to interchange both the numbers that is X percentage of 50 I am going to write this as 50 percentage of 36 so after writing like this finding the answer will be very simple because out of 36 our target to find 50 percentage what does 50% adjust now I have told you half of the number so arc of the number out of 36 off will be 18 so answer will be 18 simple logic friends God is here X percentage of Y is equal to Y percentage of X even if you interchange both the numbers you are going to get the same answer that that is this property means got it right that's what they are saying X percentage of Y is equal to Y percentage of X I have just seen the number 36 percent age of 50 finding an answer is difficult for me so what I did I interchange the numbers I have just put Y here that is 50% days here and 36 here I have just converted based on the property that is 50 percentage of 36th now it is easy for me because finding 3650 percentage is so easy half of the number so answer is 80 even if you go with the normal method right I can go with the normal method here that the sixth percentage of 50 what we actually used to do that the six divided by hundred into 50 then we multiply this two times then answer is KT so whatever be even if you go with this method you will get the same answer 1980 so it is not always necessary so based on our requirements we can use the property got it in case for example let me take any other number just see 20 percentage of 96 is equal to question like if someone is asking what is 20% age of 96 just sick whether we can able to find that answer easily by using this number directly or not in case if you feel difficult interchange the number us 96 percent age of 20 they see our target to find what is 20% age of 96 what is 10 percentage here one decimal point by leaving the last number right so 10 percentage will be nine point six right one decimal point from the last rate so we can say 10 percentage will be nine point six and what about 20 percentage so in two to nine point six into two will be 20 percentage that's it I don't want to use the property here because from the directly from by seeing the question I can able to find in case if it is difficult like this in that cases you can use that property and you can interchange the numbers got it so this is the property usually in every books they used to give like this X percentage of Y is y is equal to Y percentage of X so that's it about the topic percentages it's just a very small introduction to understand the basics of percentages that's it right so don't forget to watch lesson number two lesson number three and so on and all my lessons in my youtube channel you can able to visit my youtube channel and the playlist you have percentages so try to learn all six or seven different lessons or I always visit my website and where you can able to see all the percentage topics so thank you so much for watching this video and if you really liked it don't forget to share it to your friends those are preparing for competitive exams or IT sector interviews etc so thank you so much bye