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      Question

      Cost price of an article A is Rs. 400 less than that of

      B. A and B are marked 40% and 20% above their cost price respectively. A and B are sold after allowing discounts of Rs. 200 and Rs. 100 respectively. Profit earned by A is Rs. 100 more than that earned by B. Find the marked price of A.
      A Rs. 1,960 Correct Answer Incorrect Answer
      B Rs. 1,800 Correct Answer Incorrect Answer
      C Rs. 2,000 Correct Answer Incorrect Answer
      D Rs. 2,100 Correct Answer Incorrect Answer
      E Rs. 1,900 Correct Answer Incorrect Answer

      Solution

      Let the cost price of B be Rs. ‘a’ Cost price of A = Rs. (a − 400) Marked price of A = 1.4 × (a − 400) = Rs. (1.4a − 560) Marked price of B = 1.2 × a = Rs. 1.2a Selling price of A = 1.4a − 560 − 200 = Rs. (1.4a − 760) Selling price of B = 1.2a − 100 Profit earned by A
      = 1.4a − 760 − a + 400
      = Rs. (0.4a − 360) Profit earned by B
      = 1.2a − 100 − a
      = Rs. (0.2a − 100) ATQ, 0.4a − 360 = 0.2a − 100 + 100 Or, 0.4a − 360 = 0.2a Or, 0.2a = 360 Or, a = 1800 Marked price of A
      = 1.4 × 1800 − 560
      = 2520 − 560
      = Rs. 1,960

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