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    Question

    An object is sold at a 15% gain and the selling price

    becomes Rs. 180 more than when it's sold at a 35% loss. Find the cost price of the object.
    A 360 Correct Answer Incorrect Answer
    B 380 Correct Answer Incorrect Answer
    C 240 Correct Answer Incorrect Answer
    D 420 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the cost price of the object = Rs. 100x

    According to the question,

    (100x × 1.15) – (100x × 0.65) = 180

    ⇒ 115x – 65x = 180

    ⇒ 50x = 180

    ⇒ x = 180 ÷ 50 = 3.6

    ∴ Cost price = 100x = 3.6 × 100 = Rs. 360

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