Question

    The amount by which the marked price is higher than the

    selling price is 33% of the difference between the marked price and the cost price. If the item is sold at a 14% profit and the marked price is Rs. 960, calculate the cost price.
    A 350 Correct Answer Incorrect Answer
    B 420 Correct Answer Incorrect Answer
    C 794 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 × 1.14 = Rs. 114x

    ATQ,

    (960 - 114x) = (960 - 100x) × 0.33

    ⇒ 960 - 114x = 316.8 - 33x

    ⇒ 960 - 316.8 = 114x - 33x

    ⇒ 643.2 = 81x

    ⇒ x = 7.94

    Cost price = 100 × 7.94 = Rs. 794

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