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      Question

      The sum of cost price and marked price of article 'A'

      and that of article 'B' are Rs. 11,000 and Rs. 18,000, respectively. Articles 'A' and 'B' were marked 20% and 50% above their respective cost prices. If both the articles were sold after allowing a discount of 25%, then find the difference between their selling prices.
      A Rs. 3,000 Correct Answer Incorrect Answer
      B Rs. 4,500 Correct Answer Incorrect Answer
      C Rs. 2,700 Correct Answer Incorrect Answer
      D Rs. 3,600 Correct Answer Incorrect Answer
      E Rs. 5,400 Correct Answer Incorrect Answer

      Solution

      Let the cost price of article 'A' be Rs. 'x' Therefore, marked price of article 'A' = 1.20 × x = Rs. '1.2x' According to the question, 1.2x + x = 11000 Or, 2.2x = 11000 Or, x = (11000 / 2.2) = 5000 Marked price of article 'A' = 1.2 × 5000 = Rs. 6000 Selling price of article 'A' = 0.75 × 6000 = Rs. 4500 Similarly, let the cost price of article 'B' be Rs. 'y' Marked price of article 'B' = 1.5y y + 1.5y = 18000 Or, 2.5y = 18000 Or, y = (18000 / 2.5) = 7200 Marked price of article 'B' = 1.5 × 7200 = Rs. 10800 Selling price of article 'B' = 0.75 × 10800 = Rs. 8100 Required difference = 8100 − 4500 = Rs. 3600

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