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By selling 12 oranges for one rupee, a man loses 20%. How many for a rupee should he sell to get a gain of 20%?

Correct answer: B. 8

  • A. 5
  • B. 8
  • C. 10
  • D. 15

Explanation

Selling 12 oranges for Rs. 1 at a 20% loss means their cost is Rs. 1 ÷ 0.80 = Rs. 1.25. For a 20% gain, the selling price for the same 12 oranges must be Rs. 1.25 × 1.20 = Rs. 1.50, so for Rs. 1 he should sell 12 ÷ 1.50 = 8 oranges. The likely mistake is choosing 10 by changing the quantity by 20% instead of applying the gain and loss to price.

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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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