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      Question

      A merchant bought 150 items at Rs. 48 each. He sold some

      of them at a profit of 25% and the remaining at a loss of 15%. If the overall gain made by him is 5%, find the number of items sold at 25% profit.
      A 61 Correct Answer Incorrect Answer
      B 75 Correct Answer Incorrect Answer
      C 80 Correct Answer Incorrect Answer
      D 54 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Cost price of 150 items = 150 × 48 = Rs. 7200

      Selling price of 150 items = 1.05 × 7200 = Rs. 7560

      Let number of items sold at a profit of 25% be ‘x’

      Therefore, number of items sold at a loss of 15% = (150 – x)

      So, 1.25 × 48 × x + 0.85 × 48 × (150 – x) = 7560

      Or, 1.25x + 127.5 – 0.85x = 7560/48 = 157.5

      Or, 0.4x = 30

      Or, x = 75

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