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    Question

    ‘P’ and ‘Q’ entered into a business by investing

    Rs. ‘y’ and Rs. ‘y – 400’, respectively. If their combined annual profit amounts to Rs. 84,000 and the share of ‘P’ in the profit is Rs. 48,000, find the initial investment made by ‘Q’.
    A Rs.1230 Correct Answer Incorrect Answer
    B Rs.1545 Correct Answer Incorrect Answer
    C Rs.1016 Correct Answer Incorrect Answer
    D Rs.1200 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Ratio of profit share of ‘P’ and ‘Q’ respectively = {(y × 12):(y – 400) × 12} = (12y):(12y – 4800)

    ATQ;

    {12y/(24y – 4800)} = (48000/84000)

    Or, 21y = 24y – 4800

    Or, 4800 = 3y

    Or, y = 1600

    So, initial investment made by ‘Q’ = 1600 – 400 = Rs. 1200

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