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    Question

    β€˜A’ and β€˜B’ started a business by investing

    certain sum in the ratio 2:5, respectively for 6 years. If 16% of the total profit is donated in an orphanage and A’s share is Rs. 1200, then find the total profit generated from the business.
    A Rs. 5400 Correct Answer Incorrect Answer
    B Rs. 4000 Correct Answer Incorrect Answer
    C Rs. 4400 Correct Answer Incorrect Answer
    D Rs. 5000 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. 2:5, respectively Let the total profit received by them be Rs. 100x Therefore, profit distributed between β€˜A’ and β€˜B’ = 0.84 Γ— 100x = Rs. 84x Profit received by β€˜A’ = 84x Γ— (2/7) = Rs. 24x According to the question, 24x = 1200 => x = 50 Therefore, total profit received by β€˜A’ and β€˜B’ = 100x = Rs. 5000

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