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
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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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