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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 8,700 Correct Answer Incorrect Answer
    B RS 8,500 Correct Answer Incorrect Answer
    C Rs 9,000 Correct Answer Incorrect Answer
    D Rs 8,400 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the profit be Rs x  Karan : Arjun : Mukesh = 75,000 : 90,000 : 1,05,000 = 5:6:7 (12.5% + 7.5%) is distributed among Karan and Arjun for management and remaining 80% is distribution as profit.   ∴ Karan’s share =(x ×12.5)/100+ 80% of x ×5/18  =  (x ×12.5)/100+  4x/5  ×5/18 = 9,375 ⇒ x/8+  2x/9 = 9,375   ∴ x = 9,375/25×72 = Rs 27,000   ∴ Mukesh’s Share = 27,000 ×4/5×7/18 = Rs 8,400

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