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    Question

    P and Q invested in a business with initial investments of

    Rs. 1000 and Rs. ‘y’ respectively. Q withdrew his investment after 6 months. If P’s share out of an annual profit of Rs. 6300 was Rs. 4200, find the value of ‘y’.
    A Rs.2000 Correct Answer Incorrect Answer
    B Rs.1200 Correct Answer Incorrect Answer
    C Rs.1800 Correct Answer Incorrect Answer
    D Rs.1000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Ratio of investment of P and Q = 1000 : y

    Ratio of profit share = (1000 × 12) : (y × 6) = 12000 : 6y = 2000 : y

    So, (2000 / (2000 + y)) × 6300 = 4200

    (2000 / (2000 + y)) = 2 / 3

    2000 × 3 = 2(2000 + y)

    6000 = 4000 + 2y

    2y = 2000

    y = 1000

    So, the value of ‘y’ is Rs. 1000

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