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    Question

    ‘A’ and ‘B’ started a business by investing Rs.

    (x + 200) and Rs. (x – 800) for 8 months and 7 months, respectively. If the profit share of ‘A’ is Rs. 6900 out of total profit of Rs. 11500, then find the value of ‘x’.
    A 3000 Correct Answer Incorrect Answer
    B 3600 Correct Answer Incorrect Answer
    C 4200 Correct Answer Incorrect Answer
    D 4000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    According to the question,

    Profit share of ‘B’ = 11500 – 6900 = Rs. 4600

    Therefore, {(x + 200) × 8}:{(x – 800) × 7} = 6900:4600

    Or, 16(x + 200) = 21(x – 800)

    Or, 16x + 3200 = 21x – 16800

    Or, 5x = 20000

    Or, x = 4000

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