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 ?
A. Rs. 1200 B. Rs. 4500 C. Rs. 1000 D. None of these Answer: Option CShow Answer
Solution(By Apex Team)
Let C subscribes the business = Rs. x
$\begin{array}{l}
\text { A: B : C } \\
\text { Capital } \rightarrow(x+12000):(x+5000): x
\end{array}$
Note: Profit would be divide in the ratio of their capitals
According to the question,
$\begin{array}{l}
\Rightarrow(x+12000)+(x+5000)+x=47000 \\
\Rightarrow 3 x+17000=47000 \\
\Rightarrow 3 x=30000 \\
\Rightarrow x=10000 \\
\mathrm{~A}: \mathrm{B}: \mathrm{C} \\
\text { Capital } \rightarrow 22000: 15000: 10000 \\
\text { Profit } \rightarrow 22: 15: 10 \\
(22+15+10) \text { units }=4700
\end{array}$
1 unit = $\Large\frac{4700}{47}$
= 100
$\text { Share of } \mathrm{C}=10 \text { units }$
$=10 \times 100=\text { Rs. } 1000$
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