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The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?

Correct answer: A. 16 2/3% loss

  • A. 16 2/3% loss
  • B. 100/3% loss
  • C. 50/3% profit
  • D. 100/3% loss

Explanation

The cost price of 15 books equals the selling price of 18 books. Taking the selling price per book as Rs.s, the cost price per book is Rs.18s/15 = Rs.1.2s, so the loss is Rs.0.2s on a cost of Rs.1.2s. Therefore the loss percentage is 0.2/1.2 x 100 = 16 2/3%. Students often choose 100/3% loss by dividing the difference of 3 books by 9 or 18 without using the correct cost-price base.

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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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