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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
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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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