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      Question

      Cost price of an article M is Rs. 600 less than that of

      N. M and N are marked 50% and 20% above their cost price respectively. M and N are sold after allowing discounts of Rs. 300 and Rs. 200 respectively. Profit earned by M is Rs. 200 more than that earned by N. Find the marked price of M.
      A Rs. 2,100 Correct Answer Incorrect Answer
      B Rs. 2,000 Correct Answer Incorrect Answer
      C Rs. 2,300 Correct Answer Incorrect Answer
      D Rs. 2,200 Correct Answer Incorrect Answer
      E Rs. 2,400 Correct Answer Incorrect Answer

      Solution

      Let the cost price of N be Rs. ‘a’ Cost price of M = Rs. (a − 600) Marked price of M
      = 1.5 × (a − 600)
      = Rs. (1.5a − 900) Marked price of N
      = 1.2 × a
      = Rs. 1.2a Selling price of M
      = 1.5a − 900 − 300
      = Rs. (1.5a − 1200) Selling price of N
      = 1.2a − 200 Profit earned by M
      = 1.5a − 1200 − a + 600
      = Rs. (0.5a − 600) Profit earned by N
      = 1.2a − 200 − a
      = Rs. (0.2a − 200) ATQ, 0.5a − 600 = 0.2a − 200 + 200 Or, 0.5a − 600 = 0.2a Or, 0.3a = 600 Or, a = 2000 Marked price of M
      = 1.5 × 2000 − 900
      = 3000 − 900
      = Rs. 2,100

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