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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 C
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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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