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Question

‘A’ and ‘B’ started a business by investing certain sum in the ratio 3:2, respectively for 3 years. If 20% of the total profit is donated in an orphanage and A’s share is Rs. 1824, then find the total profit generated from the business.

A Rs. 3100 Correct Answer Incorrect Answer
B Rs.3200 Correct Answer Incorrect Answer
C Rs. 3800 Correct Answer Incorrect Answer
D Rs. 3500 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. 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 = 1824 Or, x = 38 Therefore, total profit received by ‘A’ and ‘B’ = 100x = Rs. 3800

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