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    Question

    'P' joined a business with 'Q'. 'P's investment exceeded

    'Q's by Rs. 900. 'P' stayed for 9 months and 'Q' for the full year. If the profit share was in the ratio 5:6 in favour of Q, determine the capital contributed by 'P'.
    A Rs.3200 Correct Answer Incorrect Answer
    B Rs.5000 Correct Answer Incorrect Answer
    C Rs.9000 Correct Answer Incorrect Answer
    D Rs.2500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let investment of Q = Rs. a

    Investment of P = a + 900

    Profit ratio = [(a + 900) × 9] : [a × 12] = (3a + 2700) : 4a

    ATQ,

    (3a + 2700) : 4a = 5 : 6

    ⇒ 6 × (3a + 2700) = 5 × 4a

    ⇒ 18a + 16200 = 20a

    ⇒ 2a = 16200

    ⇒ a = 8100

    Investment of P = 8100 + 900 = Rs. 9,000

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