###
**A and B started a business jointly. A’s investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit, then their total profit is ?**

A. Rs. 16000
B. Rs. 20000
C. Rs. 24000
D. Rs. 28000
**Answer: Option D**

## Show Answer

Solution(By Apex Team)

Suppose B invested Rs. x for y months
Then, A invested Rs. 3x for 2y months
$\begin{array}{l}
\text { So, A : B } \\
=(3 x \times 2 y):(x \times y) \\
=6 x y: x y \\
=6: 1
\end{array}$
$\begin{array}{l}\therefore\text{B’;s profit : Total profit}\\
=1\ :\ 7\\
\text{Let the total profit is Rs. x}\\
\text{Then,}\\
\Large\frac{1}{7}=\frac{4000}{x}\\
\Rightarrow x=28000\end{array}$

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