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A Shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed. The ratio of the cost price and the printed price of the book is:

Correct answer: A. 45:56

  • A. 45:56
  • B. 50:61
  • C. 99:125
  • D. None of these

Explanation

If the printed price is Rs. 100, a 10% discount gives a selling price of Rs. 90; this is 112% of the cost price, so cost price = Rs. 90 / 1.12 = Rs. 80.357, giving the ratio CP:printed price = 90:112 = 45:56. The likely wrong choice is 99:125, from combining the 10% discount and 12% profit as simple percentage changes rather than successive bases.

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About Profit and Loss

Profit and loss compare the cost price and selling price of an item, using profit or loss percentages based on the cost price unless stated otherwise. Questions include marked price, discount, successive discounts, commission, and finding an unknown price, with care needed to distinguish discount from loss.

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