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    Question

    'A' initially invested 75% of the total capital in a

    business. After 4 months, 'C' joined, and at that point, 'A's investment became 50% of the total capital. If 'C's share of the total profit was Rs. 6,000, determine the combined profit share of 'A' and 'B'.
    A Rs. 24000 Correct Answer Incorrect Answer
    B Rs. 15000 Correct Answer Incorrect Answer
    C Rs. 18000 Correct Answer Incorrect Answer
    D Rs. 36000 Correct Answer Incorrect Answer
    E Rs. 10000 Correct Answer Incorrect Answer

    Solution

    Let, the sum invested by ‘A’ and ‘B’ together be 4x

    Therefore, sum invested by ‘A’ = 0.75 × 4x = Rs. 3x

    Sum invested by ‘B’ = Rs. x

    Total sum invested by ‘A’, ‘B’ and ‘C’ = 3x/0.5 = Rs. 6x

    Therefore, sum invested by ‘C’ = 6x – 3x – x = Rs. 2x

    Ratio of profit received by ‘A’, ‘B’ and ‘C’

    = (3x × 12):(x × 12):(2x × 8) = 9:3:4

    Therefore, profit share of ‘A’ and ‘B’, together = 6000 × (12/4) = Rs. 18000

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