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      Question

      A shopkeeper gives a 25% discount on the marked price of an

      item. In this transaction, he earns a profit of 50%. If the profit earned by the shopkeeper is Rs. 1,500, then what is the marked price (in Rs.) of the item?
      A Rs.6485 Correct Answer Incorrect Answer
      B Rs.6000 Correct Answer Incorrect Answer
      C Rs.6375 Correct Answer Incorrect Answer
      D Rs.6515 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the cost price of the item be Rs. '100x'

      ATQ:

      '100x' × 0.5 = 1,500

      Or, 50x = 1,500

      Or, x = (1500/50) = 30

      So, the cost price of the item = 100x = 100 × 30 = Rs. 3,000

      So, the selling price of the item = 3,000 + 1,500 = Rs. 4,500

      Required marked price of the item = 4500 ÷ 0.75 = Rs. 6,000

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