Question

Ram, Mohan and Sohan were partners in a firm sharing profits in the ratio of $5:3:2$. They admitted Hari as a new partner for ${\frac{1}{5}}^{th}$ share in the profit which he a acquired from Ram and Mohan in the ratio of $3:2$. Calculate, the new profit sharing ratio of Ram, Mohan, Sohan and Hari.

Answer 1

Profit Sharing Ratio of Ram, Mohan and Sohan $=5:3:2$
Hari's share $=\frac{1}{5}$ (acquired from Ram and Mohan in the ratio of $3:2$)
Sohan's share $=\frac{2}{10}$ (retained original share)
Ram's sacrifice $\frac{1}{5}\times \frac{3}{5}=\frac{3}{25}$
Mohan's sacrifice $=\frac{1}{5}\times \frac{2}{5}=\frac{2}{25}$
Ram's new share $=\frac{5}{10}-\frac{3}{25}=\frac{19}{50}$
Mohan's new share $=\frac{3}{10}-\frac{2}{25}=\frac{11}{50}$
New Ratio of Ram, Mohan , Sohan and Hari $=\frac{19}{50}:\frac{11}{50}:\frac{2}{10}:\frac{1}{5}$ or $19:11:10:10$.