Question
Amy and Ben started a business partnership, with Amy
investing Rs. x and Ben investing Rs. (x + 6000). After one year, Chris joined the partnership with an investment of Rs. (x + 4000). At the end of the second year, Amy and Chris withdrew their capital, leaving Ben to invest for one more year. If the profits are shared among them in the ratio of 8:6:21 (Amy:Chris:Ben), what is the total amount of capital invested by all three partners?Solution
Amy : Chris : Ben = Rs. x × 2 : Rs. (x + 4000) × 1 : Rs. (x + 6000) × 2 = 8 : 6 : 21 According to question: 2x/(x + 4000) = 8/6 x = 8000 Required sum of capital (Amy + Chris + Ben) = 8000 + (8000 + 4000) + (8000 + 6000) = Rs 34000
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