Question

What is the cost of the book?
I. A man earns a profit of 25% on selling a book.
II. The selling price of the book is Rs. 5000.

• A. If the statement I alone is sufficient to answer the question.
• B. If the statement II alone is sufficient to answer the question.
• C. If the statements I and II together are sufficient to answer the question but neither statement alone is sufficient.
• D. If the statements I and II together are not sufficient to answer the question and additional data is required.

Hint:

When calculating the cost price using a profit percentage, remember that the selling price is the cost price plus the profit percentage of the cost price.

Answer 1

The Correct Option is C

Let the cost price of the book be \( C \) rupees. The man earns a profit of 25% on the cost price. This means the selling price is \( 125% \) of the cost price, or: \[ \text{Selling Price} = 1.25 \times C \] We are given that the selling price of the book is Rs. 5000. Therefore: \[ 1.25 \times C = 5000 \] Solving for \( C \): \[ C = \frac{5000}{1.25} = 4000 \] Thus, the cost price of the book is Rs. 4000. Therefore, the correct answer is \( \boxed{3} \).