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      Question

      Meena buys some equal-priced goods for Rs. 7,500. She

      sells one-third of them at a loss of 12%. What profit percent should she make on the rest to earn an overall gain of 15%?
      A 35.5%, loss Correct Answer Incorrect Answer
      B 28.5%, profit Correct Answer Incorrect Answer
      C 18.5%, profit Correct Answer Incorrect Answer
      D 45.5%, loss Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Cost price of one-third of goods = 7500 ÷ 3 = Rs. 2,500 Selling price of those goods = 0.88 × 2500 = Rs. 2,200 Total selling price for 15% overall profit = 7500 × 1.15 = Rs. 8,625 Selling price of remaining goods = 8625 – 2200 = Rs. 6,425 Cost price of remaining goods = 7500 – 2500 = Rs. 5,000 Required profit percent = ((6425 – 5000) ÷ 5000) × 100 = (1425 ÷ 5000) × 100 = 28.5% Hence, Remaining goods should be sold at 28.5% profit

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