Aman, Naman and Neel were partners in a firm sharing profits in the 2rd ratio of $\displaystyle 1$ : $\displaystyle 2$ : 1. Neel retires and he surrenders of his share in favour $\displaystyle 3$ of Aman and the remaining share in favour of Naman. Calculate the new profit sharing ratio of Aman and Naman.

Given ratio of Aman Naman Neel $\displaystyle 1$ : $\displaystyle 2$ : $\displaystyle 1$ New Share = Old Share + Gain Aman’s old share = $\displaystyle 1$/$\displaystyle 4$ Aman’s gain = $\displaystyle 2$/$\displaystyle 3$ of Neel’s share = $\displaystyle 2$/$\displaystyle 3$ x $\displaystyle 1$/$\displaystyle 4$ = $\displaystyle 2$/$\displaystyle 12$ Aman’s new share = $\displaystyle 1$/$\displaystyle 4$ + $\displaystyle 2$/$\displaystyle 12$ = $\displaystyle 5$/$\displaystyle 12$ Naman’s old share = $\displaystyle 2$/$\displaystyle 4$ Naman’s gain = $\displaystyle 1$/$\displaystyle 3$ of Neel’s share = $\displaystyle 1$/$\displaystyle 3$ x $\displaystyle 1$/$\displaystyle 4$ = $\displaystyle 1$/$\displaystyle 12$ Naman’s new share = $\displaystyle 2$/$\displaystyle 4$ + $\displaystyle 1$/$\displaystyle 12$ =$\displaystyle 7$/$\displaystyle 12$ New profit sharing ratio of Aman : Naman $\displaystyle 5$ : $\displaystyle 7$