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The C.P of 10 pens is equal to the S.P of 12 pens. Find his gain % or loss%?

Correct answer: C. 16 2/3% loss

  • A. 16 2/3% profit
  • B. 50/6% profit
  • C. 16 2/3% loss
  • D. 100/3% loss

Explanation

Let the cost price of one pen be CP and the selling price be SP. Since 10CP = 12SP, SP/CP = 10/12 = 5/6, so the loss is 1/6 x 100 = 16 2/3%. Students often choose b by treating the difference of 2 pens as a percentage of the selling price instead of the cost price.

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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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