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    Question

    A gadget is marked at Rs. 1000. It is sold at a 30% profit.

    The difference between the marked price and selling price is 35% of the difference between marked price and cost price. What was the cost price?
    A Rs.920 Correct Answer Incorrect Answer
    B Rs.520 Correct Answer Incorrect Answer
    C Rs.684 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 × 1.30 = Rs. 130x

    ATQ,

    (1000 - 130x) = (1000 - 100x) × 0.35

    Or, 1000 - 130x = 350 - 35x

    Or, 650 = 95x

    So, x = 6.84

    So, cost price = Rs. 100 × 6.84 = Rs. 684

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