Question
‘A’ and ‘B’ started a business by investing
certain sum in the ratio 3:2, respectively for 10 years. If 20% 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.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. 3:2, respectively Let the total profit received by them be Rs. 100x Therefore, profit distributed between ‘A’ and ‘B’ = 0.80 × 100x = Rs. 80x Profit received by ‘A’ = 80x × (3/5) = Rs. 48x According to the question, 48x = 1764 => x = 36.75 Therefore, total profit received by ‘A’ and ‘B’ = 100x = Rs. 3675
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