Question

$A,B$ and $C$ enter a partnership and their shares are in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}.$ After $2$ months, A withdraws half of his capital and after $10,$ months a profit of $Rs.378$ is divided amount them. What is B's share ?

• A. $Rs.129$
• B. $Rs.144$
• C. $Rs.156$
• D. $Rs.168$

Answer 1

The correct option is B $Rs.144$

Ratio of initial investment=$\frac{1}{2}:\frac{1}{3}:\frac{1}{4}=6:4:3$

Let thair initial investment be $6x:2x:3x$

P:Q:R=$(6x\times 2+3x\times 10):(4x\times 12):(3x+12)=42:48:36=7:8:6$

Q's Share=$378\times \frac{8}{21}=144$ Rs