Question: A, B and C start a small business. A contributes one-fifth of the total capital invested in the business. B contributes as much as A and C together. Total profit at the end of the year was Rs. 5200. What was C’s profit share? [SBI (PO) Pre 2015]
Options:
A) Rs. 1510
B) Rs. 2510
C) Rs. 1500
D) Rs. 2560
E) Rs. 1560
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Answer:
Correct Answer: E
Solution:
- Let the total amount invested by A, B and C together be Rs. 100.
$ \therefore $ Amount invested by $ A=Rs.\frac{1}{5}\times 100 $
$ \Rightarrow $ $ A=Rs.,20 $
(i)
$ \therefore $ Amount invested by B and C together
$ =100-20 $
$ \Rightarrow $ $ (B+C)=Rs.,80 $
(ii)
Given, fi contributes as much as A and C together
$ \Rightarrow $ $ B=A+C $ … (iii)
Using Eqs. (i), (ii) and (iii)
$ B=A+C $
$ B-C=A $
$ B-C=20 $
(iv)
Given, $ B+C=80 $ … (v)
Solving Eqs. (iv) and (v), we get
$ \begin{matrix} B-C=20 \\ B+C=80 \\ 2B=100 \\ \end{matrix} $
$ B=Rs.,50 $
$ \therefore $ $ C=30 $
Now, ratio of investments of A, B and C
$ =20:50:30=2:5:3 $
Ratio of profits = Ratio of investments $ =2:5:3 $
Profit shared by $ C=\frac{3}{10}\times 5200=Rs.,1560 $
BETA
