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CAT 2017 [slot 1] Question with solution 11

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%
Option: 2

Let the cost of good mangoes be 2x per kg. The cost of medium mangoes be x per kg.

CP of good mangoes = 160x

CP of medium mangoes = 40x

His selling price = 0.9×2x = 1.80x

Therefore, total revenue generated by selling all the mangoes = 120×1.8x = 216x

Hence, the profit % = $\frac{16x}{200x} × 100 $ = 8%

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