# Moderate Ratios & Proportion Solved QuestionAptitude Discussion

 Q. $A$, $B$ and $C$ enter into a partnership by investing Rs.3600, Rs.4400 and Rs.2800. $A$ is a working partner and gets a fourth of the profit for his services and the remaining profit is divided amongst the three in the rate of their investments. What is the amount of profit that $B$ gets if $A$ gets a total of Rs. 8000?
 ✔ A. 4888.88 ✖ B. 9333.33 ✖ C. 4000 ✖ D. 3666.66

Solution:
Option(A) is correct

Let $x$ be the profit.

$A$ is a working partner and gets a fourth of the profit for his services.

$\Rightarrow$ $A$ gets $\dfrac{1}{4}x$ of the profit.

$\Rightarrow$ Remaining profit $=x-\dfrac{1}{4}x=\dfrac{3}{4}x$

Their investment ratio = $3600:4400:2800=9:11:7$

Also, remaining profit is divided amongst the three in the rate of their investments.

$\Rightarrow$ $A$ will get extra, $\dfrac{9}{9+11+7} \times \left( \dfrac{3}{4}x\right)$

$=\dfrac{9}{27} \times \left( \dfrac{3}{4}x\right)$

$=\dfrac{1}{3} \times \left( \dfrac{3}{4}x\right)$

$B$ will get, $\dfrac{11}{9+11+7}\times \left( \dfrac{3}{4}x\right)$

$=\dfrac{11}{27} \times \left( \dfrac{3}{4}x\right)$

$A$'s profit of Rs. 8000 = $\dfrac{1}{4}\times x+\dfrac{1}{3}\times \left(\dfrac{3}{4}\times x\right)=\dfrac{1}{2}\times x$

$x = \text{Rs }16,000$

Therefore $B$'s profit = $\dfrac{11}{27}\times \left(\dfrac{3}{4}\times 16,000\right)=\text{Rs }4888.88$

## (2) Comment(s)

Rockstar
()

how 11/27 is coming?

Saikumar
()

$b's$ share out of total is $\dfrac{11}{9+11+7} = \dfrac{11}{27}$