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    Question

    Three partners Karan, Arjun and Mukesh invest Rs 75,000, Rs 90,000, Rs 1,05,000 respectively in a business. Karan receives 12.5% of the profit as Manager and Arjun receives 7.5% of the profit as Assistant Manager, after which the remaining profit is divided in proportion to the capital subscribed by each. Find the share of Mukesh when Karan receives Rs 9,375.

    A Rs 8,400 Correct Answer Incorrect Answer
    B Rs 8,700 Correct Answer Incorrect Answer
    C Rs 9,000 Correct Answer Incorrect Answer
    D Rs 8,5000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the profit be Rs 100 The ratio of investment of Karan , Arjun & Mukesh = 75,000 : 90,000 : 1,05,000 = 5:6:7 As (12.5% + 7.5%) = 20% = 20 is distributed among Karan and Arjun for management and remaining 80% = 80 is distribution in all 3 as per profit. So share of Karan = 80 ×5/(5+6+7) + 12.5 = ( 80×5/18 )+ 12.5 = (200/9) + 12.5 = 312.5/9 units So 312.5/9 units = Rs. 9375 1 unit = Rs. 270 So Share of Mukesh =80 ×7/(5+6+7) = 280/9 units = 280/9× 270 = Rs. 8400

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