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    Question

    'X' and 'Y' started a business by investing Rs. 10,000

    and Rs. 14,000 respectively. 10% of total profit is given to 'X' for managing the business, and rest of the profit is distributed between them in the ratio of investment. If at the end of a year, total profit received by 'X' is Rs. 5,700, then find the total profit.
    A Rs. 10,000 Correct Answer Incorrect Answer
    B Rs. 12,000 Correct Answer Incorrect Answer
    C Rs. 15,000 Correct Answer Incorrect Answer
    D Rs. 18,000 Correct Answer Incorrect Answer
    E Rs. 11,000 Correct Answer Incorrect Answer

    Solution

    Ratio of profit share of 'X' to 'Y' = 10000:14000 = 5:7 Let the total profit be Rs. '120p' So, 0.1 X 120p + (5/12) X 0.9 X 120p = 5,700 Or, 12p + (5/12) X 108p = 5,700 Or, 12p + 45p = 5,700 Or, 57p = 5,700 Or, 'p' = 100 Therefore, total profit = 120 X 100 = Rs. 12,000

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