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1. 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

Solution:

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{aligned} \Rightarrow (x + 12000) + (x + 5000) + x = 47000 \\ \Rightarrow 3 x + 17000 = 47000 \\ \Rightarrow 3 x = 30000 \\ \Rightarrow x = 10000 \\ A : B : C \\ Capital \to 22000 : 15000 : 10000 \\ Profit \to 22 : 15 : 10 \\ (22 + 15 + 10) units = 4700 \\ 1 unit = \frac{4700}{47} = 100 \\ Share of C = 10 units = 10 \times 100 = Rs .1000 \end{aligned}

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