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    Question

    Ajay, Vijay, and Charu started a business by investing

    Rs.12800, Rs.14400, and Rs.‘a’ respectively. Charu withdrew her investment after 6 months, while Vijay exited the business after 8 months. At the end of one year, Ajay’s share of the profit was (8/11)ᵗʰ of the combined profit shares of Vijay and Charu. Determine the value of ‘a’.
    A 24000 Correct Answer Incorrect Answer
    B 31000 Correct Answer Incorrect Answer
    C 16000 Correct Answer Incorrect Answer
    D 12000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,


    12800 * 12/[(14400 * 8) + (a * 6)] = 8/11

    12800 * 12 * 11/8 = 14400 * 8 + a * 6

    6 * a = 19200 * 11 - 14400 * 8

    a = 96000/6 = 16000

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