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    Question

    X and Y start a business with investments Rs. 20000 and

    Rs. 30000. X invests for 9 months and Y for 'n' months. If X's profit share is Rs. 9000 out of total profit Rs. 21000, determine n.
    A 12 months Correct Answer Incorrect Answer
    B 10 months Correct Answer Incorrect Answer
    C 5 months Correct Answer Incorrect Answer
    D 8 months Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Ratio of profits of X to Y = 9000 : (21000 - 9000) = 9000 : 12000 = 3 : 4 According to the question, (20000 ├Ч 9) : (30000 ├Ч n) = 3 : 4 So, 4 ├Ч (20000 ├Ч 9) = 3 ├Ч (30000 ├Ч n) Or, n = [4 ├Ч 20000 ├Ч 9] / [3 ├Ч 30000] = 8 Therefore, n = 8 months

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