### 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

### 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}

A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these

A. Rs. 4000
B. Rs. 5000
C. Rs. 6000
D. Rs. 7000

A. Rs. 2380
B. Rs. 2300
C. Rs. 2280
D. Rs. 2260