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.
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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