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**A and B start a business with investments of Rs. 5000 and Rs. 4500 respectively. After 4 months, A takes out half of his capital. After two more months B takes out one-third of his capital while C joins them with a capital of Rs. 7000. At the end of a year, they earn a profit of Rs. 5080. Find the share of each member in the profit ?**

A. A = Rs. 1400, B = Rs. 1900, C = Rs. 1780
B. A = Rs. 1600, B = Rs. 1800, C = Rs. 1680
C. A = Rs. 1800, B = Rs. 1500, C = Rs. 1780
D. A = Rs. 1680, B = Rs. 1600, C = Rs. 1800
**Answer: Option B**

## Show Answer

Solution(By Apex Team)

A : B : C
(5000 × 4 + 2500 × 8) : (4500 × 6 + 3000 × 6) : (7000 × 6)
= 40000 : 45000 : 42000
= 40 : 45 : 42
$\begin{aligned}&\therefore\text{ A’s share }\\
&=\text{ Rs. }\left(5080\times\frac{40}{127}\right)\\
&=\text{ Rs. }1600\\
&\therefore\text{ B’s share }\\
&=\text{ Rs. }\left(5080\times\frac{45}{127}\right)\\
&=\text{ Rs. }1800\\
&\therefore\text{ C’s share }\\
&=\text{ Rs. }\left(5080\times\frac{42}{127}\right)\\
&=\text{ Rs. }1680\end{aligned}$

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