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1. A starts business with a capital of Rs. 14000. Five months later B joins and further two months later C joins them. If the profit sharing ratio in the end of year is 4 : 3 : 2, then the money invested by C was ?

A. Rs. 18000

B. Rs. 16800

C. Rs. 18600

D. Rs. 10800

Solution:

	A	B	C
Amounts invested	14000
Time (in months)	12	7	5
	168000

\begin{aligned} Ratio of profits 4 : 3 : 2 \\ Let their profits 4 x : 3 x : 2 x \\ \Leftrightarrow 4 x = 168000 \\ \Leftrightarrow x = 42000 \\ \Rightarrow Profit share of C \\ = 2 x \\ = 2 \times 42000 \\ = Rs . 84000 \\ \Rightarrow Capital invested by C \\ = \frac{84000}{5} \\ = Rs. 16800 \end{aligned}

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