###
**A began a business with Rs. 85000, he was joined afterwards by B with Rs. 42500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1 ?**

A. 4 months
B. 5 months
C. 6 months
D. 8 months
**Answer: Option D**

## Show Answer

Solution(By Apex Team)

$\begin{aligned}&\text{Suppose B joined for x months}\\
&\text{Then,}\\
&\Rightarrow\frac{85000\times12}{42500\times x}=\frac{3}{1}\\
&\Rightarrow x=\frac{85000\times12}{42500\times3}\\
&\Rightarrow x=8\end{aligned}$

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