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**Two friends invested Rs.1500 and Rs. 2500 in a business. They earned a profit of Rs. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive ?**

A. Rs. 350 and Rs. 450
B. Rs. 360 and Rs. 440
C. Rs. 370 and Rs. 430
D. Rs. 375 and Rs. 425
**Answer: Option A**

## Show Answer

Solution(By Apex Team)

$\begin{array}{l}
\text { Ratio of shares }\\
=1500: 2500\\
=3: 5
\end{array}$
$\begin{aligned}&\text{Share of first friend}\\
&=\text{ Rs. }\left[\frac{400}{2}+\left(400\times\frac{3}{8}\right)\right]\\
&=\text{ Rs. }(200+150)\\
&=\text{ Rs. }350\end{aligned}$
$\begin{aligned}&\text{Share of second friend}\\
&=\text{ Rs. }\left[\frac{400}{2}+\left(400\times\frac{5}{8}\right)\right]\\
&=\text{ Rs. }(200+250)\\
&=\text{ Rs. }450\end{aligned}$

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