Multiple choice

If a book is sold at 8% profit instead of 8% loss, it would have brought Rs 12 more. Find out the cost price of the book

  1. Rs 75

  2. Rs 72

  3. Rs 60

  4. Rs 65

  5. Rs 70
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A Correct answer
Explanation

Let CP be x. 8% profit = 1.08x, 8% loss = 0.92x. Difference = 1.08x - 0.92x = 0.16x. 0.16x = 12, so x = 12 / 0.16 = 75.

AI explanation

Let the cost price (CP) of the book be Rs. C. The selling price (SP) at an 8% profit is 1.08C, and the SP at an 8% loss is 0.92C. The difference between these two selling prices is given as Rs. 12. Setting up the equation, 1.08C - 0.92C = 12, which simplifies to 0.16C = 12. Solving for C, we find C = 12 / 0.16 = 75. The cost price of the book is Rs. 75.

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