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    Question

    β€˜A’ and β€˜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, β€˜A’ and β€˜B’ invested their sums for equal period, therefore, ratio of the profit received by β€˜A’ and β€˜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 β€˜A’ and β€˜B’ = 0.78 Γ— 100x = Rs. 78x Profit received by β€˜A’ = 78x Γ— (6/13) = Rs. 36x According to the question, 36x = 1764 Or, x = 49 Therefore, total profit received by β€˜A’ and β€˜B’ = 100x = Rs. 4900

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