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.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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