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Question 11 : In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys 80 kg good mangoes and 40 kg medium quality mangoes from the market and then sells all these at a common price which is 10% less than the price at which he bought the good ones. His overall profit is:

  1. 6%
  2. 8%
  3. 10%
  4. 12%

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Explanatory Answer

Method of solving this CAT Question from Profit and Loss

The price of medium quality mangoes is half that of good mangoes. He buys 80 kg good mangoes and 40 kg medium quality mangoes from the market.
Then sells all these at a common price which is 10% less than the price at which he bought the good ones.
i.e. 40 + 80 = 120 kgs is sold at 1.8x.
His overall profit can be found as follows,
Cost price ⟹ 40x + 160x = 200x
Selling price ⟹ 120 × 1.8x = 216x
Hence there is 8% increase from cost price to selling price.
His overall profit was 8%.

The question is "In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys 80 kg good mangoes and 40 kg medium quality mangoes from the market and then sells all these at a common price which is 10% less than the price at which he bought the good ones. His overall profit is:"

Hence, the answer is 8%

Choice B is the correct answer.

 

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