In a business A in invests 1 4th of the total capital for 1 4th of the time B invests 1 5th of the t...........

Quantitative Aptitude ( CCS) Partnership

In a business, A in invests 1/4th of the total capital for 1/4th of the time. B invests 1/5th of the total capital for half of the time and C invests the remaining capital for the whole time. What is the share of C in the total profit of Rs 7410?

Rs 5100

Rs 4170

Rs 5720

Rs 2100

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Explanation:

Let the whole time is 1. then A invests for 1/4, B invests for 1/2 and C for whole 1.
Contribution of C = 1 – (1/4 + 1/5) = 11/20
So A’s share : B’s share : C’s share
1/4 * 1/4 : 1/5 * 1/2 : 11/20 * 1
1/16 : 1/10 : 11/20
5 : 8 : 44
Share of C in profit = 44/(5+8+44) * 7410 = 5720