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      Question

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

      and that of article 'B' are Rs. 10,500 and Rs. 16,000, respectively. Articles 'A' and 'B' were marked 10% and 300% above their respective cost prices. If both the articles were sold after allowing a discount of 10%, then find the difference between their selling prices.
      A Rs. 6,570 Correct Answer Incorrect Answer
      B Rs. 5,400 Correct Answer Incorrect Answer
      C Rs. 4,950 Correct Answer Incorrect Answer
      D Rs. 7,200 Correct Answer Incorrect Answer
      E Rs. 6,120 Correct Answer Incorrect Answer

      Solution

      Let the cost price of article 'A' be Rs. 'x' Therefore, marked price of article 'A' = 1.10 × x = Rs. '1.1x' According to the question, 1.1x + x = 10500 Or, 2.1x = 10500 Or, x = (10500 / 2.1) = 5000 Marked price of article 'A' = 1.1 × 5000 = Rs. 5500 Selling price of article 'A' = 0.9 × 5500 = Rs. 4950 Similarly, let the cost price of article 'B' be Rs. 'y' Marked price of article 'B' = 4y y + 4y = 16000 Or, 5y = 16000 Or, y = (16000 / 5) = 3200 Marked price of article 'B' = 4 × 3200 = Rs. 12800 Selling price of article 'B' = 0.9 × 12800 = Rs. 11520 Required difference = 11520 − 4950 = Rs. 6570

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