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 ?

Explanation:-

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

$$\eqalign{ & {\text{Ratio of profits }}4:3:2 \cr & {\text{Let their profits }}4x:3x:2x \cr & \Leftrightarrow 4x = 168000 \cr & \Leftrightarrow x = 42000 \cr & \Rightarrow {\text{Profit share of C}} \cr & = 2x \cr & = 2 \times 42000 \cr & = {\text{Rs}}{\text{. 84000}} \cr & \Rightarrow {\text{Capital invested by C}} \cr & = \frac{{84000}}{5} \cr & = {\text{Rs. }}16800 \cr}$$