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    Question

    P and Q invested in a partnership with Rs.400 and Rs.700

    respectively. After 4 months Q added Rs. 'x' more. If at the end of the year profit share of P is Rs.800 out of total profit of Rs.(9x - 100), then find the profit share of Q.
    A 1750 Correct Answer Incorrect Answer
    B 1852 Correct Answer Incorrect Answer
    C 1800 Correct Answer Incorrect Answer
    D 1650 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    ATQ, Investments: P invested Rs.400 for 12 months → Total = 400×12= 4800. Q invested Rs.700 for 4 months, then Rs.700+x for 8 months → Total = 700×4+(700+x)×8=8400+8x. Profit-sharing ratio: Profit share ∝ contribution: P:Q = 4800 : (8400+8x) Profit division: Total profit = 9x−100, and P's share = Rs.800: To calculate's Q's profit Share,

    The total profit is = 9x − 100 = 9(300) − 100 = 2700 − 100 = 2600 P's profit is Rs.800, So, Q's profit is = 2600 − 800 =1800

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