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    Question

    A shopkeeper marked an item at Rs. 1000. The discount given

    on it is equal to 40% of the difference between marked price and cost price. If he made a profit of 20%, find the cost price.
    A 350 Correct Answer Incorrect Answer
    B 420 Correct Answer Incorrect Answer
    C 750 Correct Answer Incorrect Answer
    D 580 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let cost price = 100x

    Selling price = 100x ├Ч 1.20 = Rs. 120x

    ATQ,

    (1000 - 120x) = (1000 - 100x) ├Ч 0.40

    тЗТ 1000 - 120x = 400 - 40x

    тЗТ 1000 - 400 = 120x - 40x

    тЗТ 600 = 80x

    тЗТ x = 7.5

    Cost price = 100 ├Ч 7.5 = Rs. 750

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