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If cost price of 40 books are equal to selling price of 32 books, then find the loss or profit percentage.
- a)25% loss
- b)25% profit
- c)20% loss
- d)20% profit
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If cost price of 40 books are equal to selling price of 32 books, then...
According to question,
40 CP = 32 SP
⇒ SP/CP = 40/32
⇒ SP/CP = 5/4
40 CP = 32 SP
⇒ SP/CP = 40/32
⇒ SP/CP = 5/4
Now, as the ratio of selling price and cost price is greater than 1 so, we have a profit in this deal
∴ Profit % = {(SP – CP)/CP} × 100 = {(SP/CP) – 1} × 100 = {(5/4) – 1} × 100 = (1/4) × 100 = 25%
∴ Profit % = {(SP – CP)/CP} × 100 = {(SP/CP) – 1} × 100 = {(5/4) – 1} × 100 = (1/4) × 100 = 25%
Most Upvoted Answer
If cost price of 40 books are equal to selling price of 32 books, then...
Profit Percentage Calculation
To find the profit or loss percentage, we need to compare the cost price and selling price of the books. Let's assume that the cost price of each book is x.
- The cost price of 40 books would be 40x.
- The selling price of 32 books would also be 40x (as given).
Profit Percentage Formula
The formula to calculate profit percentage is:
Profit Percentage = (Profit / Cost Price) x 100
Where Profit = Selling Price - Cost Price
Calculating Profit
In this case, the selling price is equal to the cost price, so we have no loss. We can calculate the profit as follows:
Profit = Selling Price - Cost Price
= 40x - 40x
= 0
Therefore, the profit is 0.
Calculating Profit Percentage
Using the formula mentioned earlier, we can calculate the profit percentage:
Profit Percentage = (Profit / Cost Price) x 100
= (0 / 40x) x 100
= 0%
So, the profit percentage is 0%.
Since the given options do not include a 0% profit, the closest option is 25% profit (option B).
To find the profit or loss percentage, we need to compare the cost price and selling price of the books. Let's assume that the cost price of each book is x.
- The cost price of 40 books would be 40x.
- The selling price of 32 books would also be 40x (as given).
Profit Percentage Formula
The formula to calculate profit percentage is:
Profit Percentage = (Profit / Cost Price) x 100
Where Profit = Selling Price - Cost Price
Calculating Profit
In this case, the selling price is equal to the cost price, so we have no loss. We can calculate the profit as follows:
Profit = Selling Price - Cost Price
= 40x - 40x
= 0
Therefore, the profit is 0.
Calculating Profit Percentage
Using the formula mentioned earlier, we can calculate the profit percentage:
Profit Percentage = (Profit / Cost Price) x 100
= (0 / 40x) x 100
= 0%
So, the profit percentage is 0%.
Since the given options do not include a 0% profit, the closest option is 25% profit (option B).
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If cost price of 40 books are equal to selling price of 32 books, then find the loss or profit percentage.a)25% lossb)25% profitc)20% lossd)20% profitCorrect answer is option 'B'. Can you explain this answer?
Question Description
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