Multiple choice

A shopkeeper earns a profit of 15% on the selling a book at 15% discount on the printed price. The ratio of the cost price and the printed price of the book is -

  1. $17 : 23$
  2. $14 : 23$
  3. $19 : 23$
  4. $11 : 23$
  5. $9 : 23$
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A Correct answer
Explanation

Let CP = cost price, PP = printed price, SP = selling price. Given SP = 0.85 × PP (15% discount) and SP = 1.15 × CP (15% profit). Equating: 0.85 × PP = 1.15 × CP, so CP/PP = 0.85/1.15 = 17/23. Therefore CP : PP = 17 : 23.

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