Question

Murli, Naveen and Omprakash are partners sharing profits in the ratio of 3/8, 1/2 and 1/8. Murli retires and surrenders 2/3rd of his share in favour of Naveen and remaining share in favour of Omprakash. Calculate new profit-sharing ratio and gaining ratio of the remaining partners.

Answer 1

$\begin{array}{l}\mathrm{Old}\mathrm{Ratio}=\mathrm{3:4:1}\\ \mathrm{Murli}\text{'}s\mathrm{share}=\frac{3}{8}\\ \mathrm{Share}\mathrm{acquired}\mathrm{by}\mathrm{Naveen}=\frac{3}{8}\times \frac{2}{3}=\frac{2}{8}\\ \mathrm{Remaining}\mathrm{Share}=\frac{3}{8}-\frac{2}{8}=\frac{1}{8}\left(\mathrm{acquired}\mathrm{by}\mathrm{Omprakash}\right)\\ \mathrm{Gaining}\mathrm{Ratio}=\frac{2}{8}:\frac{1}{8}=2:1\\ \mathrm{Naveen}\text{'}s\mathrm{New}\mathrm{Share}=\frac{4}{8}+\frac{2}{8}=\frac{6}{8}\\ \mathrm{Omprakash}\text{'}s\mathrm{New}\mathrm{Share}=\frac{1}{8}+\frac{1}{8}=\frac{2}{8}\\ \mathrm{New}\mathrm{Profit}\mathrm{Sharing}\mathrm{Ratio}=3:1\end{array}$