Question

    ‘P’ and ‘Q’ invested Rs. (x + 300) and Rs. (x –

    500) respectively in a business for 10 months and 9 months. If P’s share of the profit is Rs. 7200 out of a total profit of Rs. 12000, find the value of x.
    A 10500 Correct Answer Incorrect Answer
    B 11042 Correct Answer Incorrect Answer
    C 12199 Correct Answer Incorrect Answer
    D 12055 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Profit share of Q = 12000 – 7200 = Rs. 4800

    So, {(x + 300) × 10}:{(x – 500) × 9} = 7200:4800

    Or, 100(x + 300) = 108(x – 500)

    Or, 100x + 30000 = 108x – 54000

    Or, 8x = 84000

    Or, x = 10500

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