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    Question

    'A' and 'B' entered into a partnership where 'A' invested

    Rs. 1,500 more than 'B'. 'A' stayed in the business for 8 months, while 'B' stayed for the entire year. If the profit was divided in the ratio 7:8 in favour of B, find the investment of 'A'.
    A Rs.7200 Correct Answer Incorrect Answer
    B Rs.5200 Correct Answer Incorrect Answer
    C Rs.6300 Correct Answer Incorrect Answer
    D Rs.6000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the investment of 'B' be Rs. a.

    Investment of 'A' = Rs. (a + 1500)

    Ratio of profit share = [(a + 1500) × 8] : [a × 12] = (2a + 3000) : 3a

    ATQ,

    (2a + 3000) : 3a = 7 : 8

    ⇒ 8 × (2a + 3000) = 7 × 3a

    ⇒ 16a + 24000 = 21a

    ⇒ 5a = 24000

    ⇒ a = 4800

    Therefore, investment of 'A' = 4800 + 1500 = Rs. 6,300

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