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    Question

    The difference between an article's tag price and its

    actual selling price equals 40% of the difference between the tag price and cost price. If the profit earned is 25% and the marked price is Rs. 800, find the cost price.
    A Rs.920 Correct Answer Incorrect Answer
    B Rs.520 Correct Answer Incorrect Answer
    C Rs.565 Correct Answer Incorrect Answer
    D Rs.650 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,
    Let the cost price be Rs. 100x

    Then selling price = Rs. 100x × 1.25 = Rs. 125x

    ATQ,

    (800 - 125x) = (800 - 100x) × 0.40

    Or, 800 - 125x = 320 - 40x

    Or, 480 = 85x

    So, x = 5.65

    So, cost price = Rs. 100 × 5.65 = Rs. 565

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