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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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