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      Question

      A fruit seller bought some mangoes. By selling 50% of

      total mangoes he got a profit of equal to 50% of his overall cost and 80% of remaining mangoes he sells at a profit at 1/4 of his previous profit, if he throw rest of the mangoes due to spoilage then find out his overall profit percent?
      A 32% Correct Answer Incorrect Answer
      B 50% Correct Answer Incorrect Answer
      C 62% Correct Answer Incorrect Answer
      D 48% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the fruit seller purchase 100 mangoes in Rs 100 Cost price of 1 mango = Rs 1 He sell 50% of mangoes = 100 × 50% = 50 mangoes At a profit of 50% of total cost. So profit = total cost × 50% = 100 × 50/100 = Rs 50 ∴ Selling price of 50 mangoes = C.P + Profit = 50 + 50 = Rs 100 So profit % = 50/50 × 100 = 100% He sells 50 mangoes at the profit of 100% He sells 80% of the remaining mangoes = 80/100 × 50 = 40 mangoes Cost price of 40 mangoes = Rs 40 Profit % = 100 × 1/4 = 25% Selling price of 40 mangoes = 125/100 × 40 = Rs 50 So overall cost price = Rs 100 of 100 mangoes Overall selling price = 100 + 50 = Rs 150 So profit = 150 – 100 = Rs 50 Profit % =  50/100 × 100 = 50% 

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