Naresh and Namit are partners sharing porfits in the ratio of 2:1. They admit Nimesh into partnership of 25% share of profit. Nimesh acquired the share from old partners in the ratio of 3:2. Calculate New Profit-sharing Ratio.

Explanation

Nimesh gets from Naresh `(3)/(5)"of"(1)/(4)=(3)/(20)`, and
from Namit he gets `(2)/(5)"of"(1)/(4)=(2)/(20)`
Nimesh's Share = Old Share-Share Surrendered
:. New Share of Neresh `=(2)/(3)-(3)/(20)=(40-9)/(60)=(31)/(60)`
New Share of Namit `=(1)/(3)-(2)/(20)=(20-6)/(60)=(14)/(60)`
Share of Nimesh `(1)/(4)or(15)/(60)` Thus, New Profit-sharing Ratio `=(31)/(60):(14)/(60):(15)/(60)=31:14:15`.