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      Question

      Cost price of an article P is Rs. 500 less than that of

      Q. P and Q are marked 50% and 25% above their cost price respectively. P and Q are sold after allowing discounts of Rs. 300 and Rs. 200 respectively. Profit earned by P is Rs. 150 more than earned by Q. Find the marked price of P.
      A Rs. 2,000 Correct Answer Incorrect Answer
      B Rs. 2,250 Correct Answer Incorrect Answer
      C Rs. 2,400 Correct Answer Incorrect Answer
      D Rs. 2,600 Correct Answer Incorrect Answer
      E Rs. 2,100 Correct Answer Incorrect Answer

      Solution

      Let the cost price of Q be Rs. ‘a’ Cost price of P = Rs. (a − 500) Marked price of P
      = 1.5 × (a − 500)
      = Rs. (1.5a − 750) Marked price of Q
      = 1.25 × a
      = Rs. 1.25a Selling price of P
      = 1.5a − 750 − 300
      = Rs. (1.5a − 1050) Selling price of Q
      = 1.25a − 200 Profit earned by P
      = 1.5a − 1050 − a + 500
      = Rs. (0.5a − 550) Profit earned by Q
      = 1.25a − 200 − a
      = Rs. (0.25a − 200) ATQ, 0.5a − 550 = 0.25a − 200 + 150 Or, 0.5a − 550 = 0.25a − 50 Or, 0.25a = 500 Or, a = 2000 Marked price of P
      = 1.5 × 2000 − 750
      = 3000 − 750
      = Rs. 2,250

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