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      Question

      An item is marked at 25% above its cost price. A

      discount is given on the marked price, and the profit earned from selling the item is three-fifths of the discount given. If the profit is ₹126, what is the marked price of the item?
      A Rs 1728 Correct Answer Incorrect Answer
      B Rs 1420 Correct Answer Incorrect Answer
      C Rs 1680 Correct Answer Incorrect Answer
      D Rs 1500 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Profit = SP - CP = 126

      SP = 126 + CP

      Then, discount = 126 * 5/3 = 210

      MP = SP + 210

      Also, MP = 125% of CP

      Then, 125% of CP = SP + 210

      SP = 1.25CP - 210 = 126 + CP

      CP = 1344

      Therefore, MP = 1.25 * 1344 = Rs.1680

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