Question

$X,Y$ and $Z$ enter into a partnership and theirs shares are in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$. After two months, $X$ withdraws half of his capital and after $10$ months, a profit of Rs. $420$ is divided among them. What is $Y^{\prime }$s share?

Answer 1

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

Let their initial investments be $6x,2x$ and $3x$ respectively.

Ratio of their investment: $(6x\times 2)+(3x\times 10):(4x\times 12):(3x\times 12)$

$\Rightarrow 42x:48x:36x$

$\Rightarrow 7:8:6$.

Total profit $=420$ Rs.

$B^{\prime }$s share $=420\times \frac{8}{21}=160$ Rs.

Thus, $B^{\prime }$s share in profit $=160$ Rs.