A, B and C invested Rs. 47000 for a business. If A subscribes Rs. 7000 more than B and B Rs. 5000 more than C, then out of total profit of Rs. 4700, C receives ?

Answer: Option C

Let C subscribes the business = Rs. x
A : B : C
Capital → (x + 12000) : (x + 5000) : x
Note: Profit would be divide in the ratio of their capitals
According to the question,
$$\begin{array}{rl}& \Rightarrow \left(x+12000\right)+\left(x+5000\right)+x=47000\\ & \Rightarrow 3x+17000=47000\\ & \Rightarrow 3x=30000\\ & \Rightarrow x=10000\\ & \text{ A }:\text{ B }:\text{ C}\\ & \text{Capital}\to 22000:15000:10000\\ & \text{Profit}\to 22:15:10\\ & \left(22+15+10\right)\text{ units}=\text{4700}\\ & \text{1 unit}=\frac{4700}{47}=100\\ & \text{Share of C}=10\text{ units}=10\times 100=\text{Rs}.1000\\ & \end{array}$$