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    Question

    A trader gives a discount such that the difference between

    marked price and selling price is 50% of the difference between marked price and cost price. If he earns 30% profit and the marked price is Rs. 960, find the cost price.
    A 350 Correct Answer Incorrect Answer
    B 420 Correct Answer Incorrect Answer
    C 600 Correct Answer Incorrect Answer
    D 580 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the cost price be Rs. 100x

    Selling price = 100x × 1.30 = Rs. 130x

    ATQ,

    (960 - 130x) = (960 - 100x) × 0.50

    ⇒ 960 - 130x = 480 - 50x

    ⇒ 960 - 480 = 130x - 50x

    ⇒ 480 = 80x

    ⇒ x = 6

    Cost price = 100 × 6 = Rs. 600

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