Question
‘A’ and ‘B’ started a business by investing
certain sum in the ratio 13:5, respectively for 6 years. If 10% of the total profit is donated in an orphanage and A’s share is Rs. 1625, then find the total profit generated from the business.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. 13:5, respectively Let the total profit received by them be Rs. 100x Therefore, profit distributed between ‘A’ and ‘B’ = 0.90 × 100x = Rs. 90x Profit received by ‘A’ = 90x × (13/18) = Rs. 65x According to the question, 65x = 1625 Or, x = 25 Therefore, total profit received by ‘A’ and ‘B’ = 100x = Rs. 2500
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