Question
A, B and C started a business together. A invested Rs.
60000 for the whole year. B invested Rs. 80000 for the first 4 months and then increased his investment by Rs. 20000 for the remaining 8 months. C invested Rs. 120000 for the first 6 months and then withdrew Rs. 40000 for the remaining 6 months. If the total profit earned at the end of the year is Rs. 91200, then what is C's share in the profit?Solution
ATQ, Profit is divided in the ratio of capital x time. A's investment-time = 60000 x 12 = 720000 B's investment-time = 80000 x 4 + 100000 x 8 = 320000 + 800000 = 1120000 C's investment-time = 120000 x 6 + 80000 x 6 = 720000 + 480000 = 1200000 Ratio = 720000 : 1120000 : 1200000 Divide by 80000 = 9 : 14 : 15 Total ratio = 9 + 14 + 15 = 38 C's share = (15/38) x 91200 = 15 x 2400 = 36000 Hence, C's share is Rs. 36000.
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