### A, B, C started a business with their investments in the ratio 1 : 3 : 5. After 4 months, A invested the same amount as before and B as well as C withdrew half of their investments. The ratio of their profits at the end of the year is ?

A. 4 : 3 : 5 B. 5 : 6 : 10 C. 6 : 5 : 10 D. 10 : 5 : 6 Answer: Option B

### Solution(By Apex Team)

Let their initial investments be x, 3x and 5x respectively Then, \begin{aligned}&=\mathrm{A}:\mathrm{B}:\mathrm{C}\\ &=(x\times4+2x\times8):\left(3x\times4+\frac{3x}{2}\times8\right):\left(5x\times4+\frac{5x}{2}\times8\right)\\ &=20x:24x:40x\\ &=5:6:10\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