Question

P and Q are partners sharing profits and losses in the ratio of 3:2. They admit R into the firm with 2/5 share which he gets equally from P & Q. Calculate the new ratio and sacrificing ratio.

Answer 1

Old ratio = 3 : 2 = \(\frac{3}{5} : \frac{1}{5}\) 

R's share = \(\frac{2}{5}\) i.e (\(\frac{1}{5} from\,P \frac{1}{5} from\,Q\))

P's new share = \(\frac{2}{5}\)- \(\frac{1}{5}\) = \(\frac{1}{5}\)

The new ratio = \(\frac{2}{5} :\frac{1}{5}: \frac{2}{5} \) = 2 :1 : 2

Here the sacrificing ratio is equal (1: 1) as R gets equally from P&Q.