Multiple choice

A man loses $13 \%$ by selling a book at a certain price. If he had sold it for Rs. $9.75$ more he would have gained $26\%$. Find the cost price of the book ?

  1. $25$
  2. $30$
  3. $39$
  4. $42$
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A Correct answer
Explanation

Let CP be x. Loss 13% means SP = 0.87x. Gain 26% means SP = 1.26x. Difference = 0.39x = 9.75. x = 9.75 / 0.39 = 25.

AI explanation

Let the cost price of the book be Rs. x. Selling it for Rs. 9.75 more changes the outcome from a 13% loss to a 26% gain, meaning 9.75 equals 39% of the cost price. Using the percentage method, 0.39x = 9.75, which simplifies to x = 25. The cost price of the book is Rs. 25.

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