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    Question

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

    certain sum in the ratio 6:7, respectively for 6 years. If 22% of the total profit is donated in an orphanage and A’s share is Rs. 1764, then find the total profit generated from the business.
    A Rs. 4000 Correct Answer Incorrect Answer
    B Rs. 4500 Correct Answer Incorrect Answer
    C Rs. 4900 Correct Answer Incorrect Answer
    D Rs. 4000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Since, ‘A’ and ‘B’ invested their sums for equal period, therefore, ratio of the profit received by ‘A’ and ‘B’ will be equal to the ratio of sum invested by them i.e. 6:7, respectively Let the total profit received by them be Rs. 100x Therefore, profit distributed between ‘A’ and ‘B’ = 0.78 × 100x = Rs. 78x Profit received by ‘A’ = 78x × (6/13) = Rs. 36x According to the question, 36x = 1764 Or, x = 49 Therefore, total profit received by ‘A’ and ‘B’ = 100x = Rs. 4900

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