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      Question

      The average cost price of articles 'C' and 'D' together is

      Rs. 350 where the cost price of article 'D' is Rs. 40 more than that of article 'C'. If articles 'C' and 'D' are sold at profit of 18% and profit of 22%, respectively, then find the difference between their selling prices.
      A Rs.50 Correct Answer Incorrect Answer
      B Rs.62 Correct Answer Incorrect Answer
      C Rs.40 Correct Answer Incorrect Answer
      D Rs.25 Correct Answer Incorrect Answer

      Solution

      ATQ,

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

      Then, cost price of article 'D' = Rs. (10x + 40)

      Sum of cost price of articles 'C' and 'D' = 10x + 10x + 40 = Rs. (20x + 40) = 350 × 2

      Or, 20x + 40 = 700

      Or, 20x = 660

      Or, x = 33

      Cost price of articles 'C' and 'D' are Rs. 330 and Rs. 370, respectively

      Selling price of article 'C' = 330 × 1.18 = Rs. 389.4

      Selling price of article 'D' = 370 × 1.22 = Rs. 451.4

      Required difference = 451.4 - 389.4 = Rs. 62

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