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    Question

    A seller sold an item at a loss of 25%. If he had sold

    it for Rs. 1,500 more, then he would have earned a profit of 15%. Find the cost price of the item.
    A Rs. 1,750 Correct Answer Incorrect Answer
    B Rs. 2,750 Correct Answer Incorrect Answer
    C Rs. 3,600 Correct Answer Incorrect Answer
    D Rs. 3,750 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let, the cost price of the item be Rs. '100x'. ATQ, Selling price of the item sold at 15% profit = 1.15 X 100x = Rs. (0.75 X 100x + 1500) Or, 115x = 75x + 1500 Or, 115x - 75x = 1500 Or, 40x = 1500 So, x = (1500/40) = 37.5 Therefore, the cost price of the item = 100x = 100 X 37.5 = Rs. 3,750

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