X and Y commenced a business jointly, contributing initial capital amounts of Rs. 20,000 and Rs. 50,000, respectively. X, being the active partner, received 10% of the annual profit, with the remainder distributed between them based on their investments. Given that the difference between their total profits is Rs. 2200, determine the total profit (in Rs.).
ATQ, Ratio of investment of X and Y = 20000:50000 = 2:5 Let, total profit at the end of the year = Rs.100a X share = {100a × 0.1 + 0.9 × 100a × 2/(5 + 2)} = (10a + 180a/7) = Rs. (250a/7) Yshare = {5/(2 + 7)} × 0.9 × 100a = Rs. (450a/7) According to the question, (450a/7) – (250a/7) = 2200 Or, 200a/7 = 2200 Or, a = (2200/200) × 7 Or, a = 77 Or, 100a = 7700 Therefore, total profit received = Rs.7700
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