Question

Kumar, Lakshya, Manoj and Naresh are partners sharing profits in the ratio of $3:2:1:4$. Kumar retires and his share is acquired by Lakshya and Manoj in the ratio of $3:2$. Calculate new profit-sharing ratio and gaining ratio of the remaining partners.

Answer 1

$\begin{array}{cccc}& Lakshy& Manoj& Naresh\\ \text{old share}& \frac{2}{10}& \frac{1}{10}& \frac{4}{10}\\ \text{Acquired sahre from kumar}& \frac{3}{5}of\frac{3}{10}& \frac{2}{5}of\frac{3}{10}& Nic\\ & \frac{9}{50}& \frac{6}{50}& -\\ \text{New share}=\left(i\right)=\left(ii\right)& \frac{2}{10}+\frac{9}{50}& \frac{1}{10}+\frac{6}{50}& \frac{4}{10}+Nil\\ & \frac{19}{50}& \frac{11}{50}& \frac{20}{50}\end{array}$

The new profit sharing ratio is $19:11:20$

Giving ratio is $3:2:0$

Note:

1) Since Lakshy & Manoj are accquiring kumars share of profit in the ratio of $3:2$ hence the giving ratio will be $3:2$ between Lakshya & Manoj

2) Naresh has Niethes Sarrificed uor geived.