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    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?
    A Rs.30000 Correct Answer Incorrect Answer
    B Rs.24000 Correct Answer Incorrect Answer
    C Rs.14000 Correct Answer Incorrect Answer
    D Rs.34000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    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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