Multiple choice

Rahul sold a book at $10\%$ loss. Had he sold it for Rs. $85$ more, then he would have made a profit of $7\%$. What was the cost price of the book?

  1. Rs. $500$
  2. Rs. $850$
  3. Rs. $615$
  4. Rs. $585$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP be x. 10% loss means SP = 0.9x. 7% profit means SP = 1.07x. Difference = 1.07x - 0.9x = 0.17x. Given 0.17x = 85, so x = 85 / 0.17 = 500.

AI explanation

The difference between a 10% loss and a 7% profit equals 17% of the cost price. This 17% of the cost price corresponds to the additional Rs. 85, so 0.17 * CP = 85. Solving for CP gives CP = 85 / 0.17 = Rs. 500.

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