Question

P&Q sharing profit in the ratio of 2:1,admit R who purchase ⅓rd share from P. Compute the new profit sharing ratio

Answer 1

Old Ratio of P and Q =2:1
R joins with 1/3rd share of profit.
So,the remaining share = 1-1/3 =2/3

Therefore, P's new share =
$\frac{2}{3} \times \frac{2}{3} = \frac{4}{9}$
Q's new share =
$\frac{1}{3} \times \frac{2}{3 } = \frac{2}{9}$
R's new share=
$\frac{2}{3} \times \frac{3}{3} = \frac{6}{9}$

So the new profit sharing ratio= 4:2:6