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      Question

      The average cost price of articles 'X' and 'Y' together is

      Rs. 400 where the cost price of article 'Y' is Rs. 80 more than that of article 'X'. If articles 'X' and 'Y' are sold at profit of 10% and profit of 20%, respectively, then find the difference between their selling prices.
      A Rs.150 Correct Answer Incorrect Answer
      B Rs.132 Correct Answer Incorrect Answer
      C Rs.140 Correct Answer Incorrect Answer
      D Rs.125 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the cost price of article 'X' = Rs. '10x'

      Then, cost price of article 'Y' = Rs. (10x + 80)

      Sum of cost price of articles 'X' and 'Y' = 10x + 10x + 80 = Rs. (20x + 80) = 400 × 2

      Or, 20x + 80 = 800

      Or, 20x = 720

      Or, x = 36

      Cost price of articles 'X' and 'Y' are Rs. 360 and Rs. 440, respectively

      Selling price of article 'X' = 360 × 1.1 = Rs. 396

      Selling price of article 'Y' = 440 × 1.2 = Rs. 528

      Required difference = 528 - 396 = Rs. 132

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