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If two individuals travel the same distance at different speeds, how can you determine who took longer?
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Compare times using the formula time = distance/speed; the greater the speed, the lesser the time taken.
How do you find the break-even point in sales?
The break-even point is where total cost equals total revenue, implying no profit or loss.
A vendor sells goods at a premium during the first 8 months and at half the price in the following 4 months, ending up with a 20% profit. What is a possible formula to find the selling price?
If Cost Price = ₹100, Selling Price for first 8 months + Selling Price for next 4 months = Total Selling Price. Consider average prices to compute approximate selling price ensuring a 20% overall profit.
A vendor buys an article for ₹100. If he sells it at ₹144, what is his profit percentage?
Profit percentage = ((144 - 100) / 100) * 100 = 44%
If a shopkeeper gives a 16% discount and achieves a 25% profit, how do you determine the cost price if the selling price is known?
You use the equation Selling Price = Cost Price * (1 + Profit %) / (1 - Discount %) to solve for Cost Price.
In mixture problems, what principle can be used to solve for the concentration of solutions?
The alligation method, which involves finding the ratio of quantities to achieve a desired mixture concentration.
If an article is sold at ₹16 and cost price is ₹5, what is the profit percentage?
Profit percentage = ((16 - 5) / 5) * 100 = 220%
How do you compute the selling price if a product’s cost price is ₹1200 and the shopkeeper wants a 25% profit?
Selling Price = ₹1200 + (25/100 * ₹1200) = ₹1500
What is a typical approach to solving ratio problems when variables change?
Set up the initial ratios, then adjust for any changes given in the problem to find the new ratios.
How would a change in speed affect travel time if the distance remains constant?
An increase in speed will decrease travel time and a decrease in speed will increase travel time.
Explain the relationship between time, speed, and distance.
Time = Distance / Speed. This means to calculate how long it takes to cover a distance at a constant speed.
What is the formula to calculate profit percentage?
Profit percentage = (Selling Price - Cost Price) / Cost Price * 100
What mathematical strategy is useful in solving vendor discount problems?
Equate expressions involving cost price, selling price, discount rate, and profit rate, then solve for the unknown.
In a profit and loss scenario, why is it useful to understand percentage markups and markdowns?
Percentage markups/markdowns directly influence the calculated cost price, selling price and results in comprehending profit or loss.
What formula would you use when calculating selling price at 125% of a cost price?
Selling Price = 1.25 * Cost Price
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