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    Question

    X started a business with Rs.12000. After 6 months, Y

    joined with x% of X’s capital. At the end of the year, Y’s share in the Rs.36000 total profit was Rs.6000. Find x.
    A 12% Correct Answer Incorrect Answer
    B 20% Correct Answer Incorrect Answer
    C 40% Correct Answer Incorrect Answer
    D 90% Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Profit share of X : Y = (12000 × 12) : (x% of 12000 × 6) = 144000 : (x × 120 × 6) = 1200 : 6x

    According to question,

    Image

    ⇒ 6x / (1200 + 6x) = 1 / 6

    ⇒ 36x = 1200 + 6x

    ⇒ 30x = 1200

    ⇒ x = 40

    So, the value of x = 40%

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