Multiple choice

A shop keeper earns a profit of $12$% on selling a book at $10$% discount on the printed price. The ratio of cost price to the printed price of the book is

  1. $45 : 56$
  2. $50 : 61$
  3. $99 : 125$

  4. None of these
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A Correct answer
Explanation

CP * 1.12 = MP * 0.9. CP/MP = 0.9 / 1.12 = 90 / 112 = 45 / 56.

AI explanation

Let the printed price be 100, so the selling price after a 10% discount is 90. Because the cost price gives a 12% profit on this selling price, the cost price is calculated as 90 / 1.12 = 80.357. The ratio of the cost price to the printed price is 80.357 : 100, which simplifies to 45 : 56. The ratio is 45 : 56.

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