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      Question

      Ajay purchased two items for a total of Rs. 750. He sold

      the first item at an 18% loss and the second item at an 18% profit. The selling prices of both items were the same. Determine the difference in their original purchase prices.
      A Rs. 135 Correct Answer Incorrect Answer
      B Rs. 120 Correct Answer Incorrect Answer
      C Rs. 150 Correct Answer Incorrect Answer
      D Rs. 180 Correct Answer Incorrect Answer
      E Rs. 125 Correct Answer Incorrect Answer

      Solution

      Let the cost price of the two articles be Rs. x and Rs. y respectively. Selling price of first article = 0.82 × x = Rs. 0.82x Selling price of another article = 1.18 × y = Rs. 1.18y According to question, 0.82x = 1.18y x/y = 1.18/0.82 = 59/41 Desired difference = (59 – 41)/100 × 750 = 0.18 × 750 = Rs. 135

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