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The cost price of 12 books is equal to selling price of 15 books. What is the loss percent?
- a)10%
- b)20%
- c)15%
- d)25%
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The cost price of 12 books is equal to selling price of 15 books. What...
Let the cost price of 12 books = ₹ x.
Cost price of 1 book = x/12
Selling price of 15 books = ₹ x.
S.P. of 1 book = x/15
∴
Loss percent = x / 60 x / 12 x 100
Cost price of 1 book = x/12
Selling price of 15 books = ₹ x.
S.P. of 1 book = x/15
∴
Loss percent = x / 60 x / 12 x 100
Most Upvoted Answer
The cost price of 12 books is equal to selling price of 15 books. What...
Loss Percent Calculation:
To find the loss percent, we need to compare the cost price (CP) and the selling price (SP) of the books.
Given:
Cost price of 12 books = Selling price of 15 books
Let's assume that the cost price of each book is 'x'.
So, the cost price of 12 books = 12x
And the selling price of 15 books = 15x
Loss Calculation:
The loss is calculated as the difference between the cost price and the selling price.
Loss = Cost price - Selling price
Since the cost price is greater than the selling price (as per the given condition), the loss will be positive.
Loss = 12x - 15x
Loss = -3x
Loss Percent Formula:
Loss percent is the ratio of the loss to the cost price, expressed as a percentage.
Loss Percent = (Loss / Cost price) * 100
Substituting the value of the loss, we get:
Loss Percent = (-3x / 12x) * 100
Loss Percent = -25%
Hence, the loss percent is -25%.
Explanation:
The negative loss percentage indicates a loss. In this case, the loss percent is -25%, which means that the selling price is 25% less than the cost price. The negative sign indicates that there is a loss.
Option B, which states 20% loss, is incorrect. The correct answer is option B, which states a 25% loss.
To find the loss percent, we need to compare the cost price (CP) and the selling price (SP) of the books.
Given:
Cost price of 12 books = Selling price of 15 books
Let's assume that the cost price of each book is 'x'.
So, the cost price of 12 books = 12x
And the selling price of 15 books = 15x
Loss Calculation:
The loss is calculated as the difference between the cost price and the selling price.
Loss = Cost price - Selling price
Since the cost price is greater than the selling price (as per the given condition), the loss will be positive.
Loss = 12x - 15x
Loss = -3x
Loss Percent Formula:
Loss percent is the ratio of the loss to the cost price, expressed as a percentage.
Loss Percent = (Loss / Cost price) * 100
Substituting the value of the loss, we get:
Loss Percent = (-3x / 12x) * 100
Loss Percent = -25%
Hence, the loss percent is -25%.
Explanation:
The negative loss percentage indicates a loss. In this case, the loss percent is -25%, which means that the selling price is 25% less than the cost price. The negative sign indicates that there is a loss.
Option B, which states 20% loss, is incorrect. The correct answer is option B, which states a 25% loss.
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The cost price of 12 books is equal to selling price of 15 books. What...
20%
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