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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?
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
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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.
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Community Answer
The cost price of 12 books is equal to selling price of 15 books. What...
20%
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