📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      Cost price of an article X is Rs. 700 less than that of

      Y. X and Y are marked 60% and 30% above their cost price respectively. X and Y are sold after allowing discounts of Rs. 400 and Rs. 300 respectively. Profit earned by X is Rs. 80 more than that earned by Y. Find the marked price of X.
      A Rs. 2,100 Correct Answer Incorrect Answer
      B Rs. 2,320 Correct Answer Incorrect Answer
      C Rs. 2,080 Correct Answer Incorrect Answer
      D Rs. 2,450 Correct Answer Incorrect Answer
      E Rs. 3,120 Correct Answer Incorrect Answer

      Solution

      Let the cost price of Y be Rs. ‘a’ Cost price of X = Rs. (a − 700) Marked price of X
      = 1.6 × (a − 700)
      = Rs. (1.6a − 1120) Marked price of Y
      = 1.3 × a
      = Rs. 1.3a Selling price of X
      = 1.6a − 1120 − 400
      = Rs. (1.6a − 1520) Selling price of Y
      = 1.3a − 300 Profit earned by X
      = 1.6a − 1520 − a + 700
      = Rs. (0.6a − 820) Profit earned by Y
      = 1.3a − 300 − a
      = Rs. (0.3a − 300) ATQ, 0.6a − 820 = 0.3a − 300 + 80 Or, 0.6a − 820 = 0.3a − 220 Or, 0.3a = 600 Or, a = 2000 Marked price of X
      = 1.6 × 2000 − 1120
      = 3200 − 1120
      = Rs. 2,080

      Practice Next
      More Profit and loss Questions

      Relevant for Exams:

      ask-question