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      Question

      A merchant bought 300 goods at Rs. 50 each. He sold a

      part at a 20% profit and the rest at a 10% loss. If his overall profit is 4%, how many goods did he sell at a 20% profit?
      A 125 Correct Answer Incorrect Answer
      B 130 Correct Answer Incorrect Answer
      C 140 Correct Answer Incorrect Answer
      D 165 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Cost price of 300 goods = 300 × 50 = Rs. 15000 Selling price of 300 goods = 1.04 × 15000 = Rs. 15600 Let number of goods sold at a 20% profit be ‘x’ Then, goods sold at 10% loss = (300 – x) So, 1.20 × 50 × x + 0.90 × 50 × (300 – x) = 15600 Or, 1.2x + 270 – 0.9x = 15600 / 50 = 312 Or, 0.3x = 42 Or, x = 140

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