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    Question

    A and B invested Rs. 7200 and Rs. 9600, respectively,

    in a business. B invested his money for 2 months longer than A. If A's share of the total profit of Rs. 5200 is Rs. 1950, find the duration for which B invested his money.
    A 6 months Correct Answer Incorrect Answer
    B 8 months Correct Answer Incorrect Answer
    C 10 months Correct Answer Incorrect Answer
    D 4 months Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let A invested his money for ‘x’ months According to question; [7200 × x]/[(x + 2) × 9600] = 1950/(5200 – 1950) = 1950/3250 = 3/5 Or, 15x = 12x + 24 Or, 3x = 24 Or, x = 8 So, B invested his money for (8 + 2) = 10 months.

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