Anisha, Divya and Lata are partners sharing profits in the ratio of $\displaystyle 2$ : $\displaystyle 2$ : 1. Divya retires and her share is taken up by Anisha and Lata in the ratio of $\displaystyle 3$ : 2. Calculate the new profit sharing ratio of Anisha and Lata.

Given ratio of Anisha Divya Lata $\displaystyle 2$ : $\displaystyle 2$ : $\displaystyle 1$ New Share = Old Share + Gain Anisha’s old share = $\displaystyle 2$/$\displaystyle 5$ Anisha’s gain = $\displaystyle 3$/$\displaystyle 5$ of Divya’s share = $\displaystyle 3$/$\displaystyle 5$ x $\displaystyle 2$/$\displaystyle 5$ = $\displaystyle 6$/$\displaystyle 25$ Anisha’s new share = $\displaystyle 2$/$\displaystyle 5$ + $\displaystyle 6$/$\displaystyle 25$ = $\displaystyle 16$/$\displaystyle 25$ Lata’s old share = $\displaystyle 1$/$\displaystyle 5$ Lata’s gain = $\displaystyle 2$/$\displaystyle 5$ of Divya’s share = $\displaystyle 2$/$\displaystyle 5$ x $\displaystyle 2$/$\displaystyle 5$ = $\displaystyle 4$/$\displaystyle 25$ Lata’s new share = $\displaystyle 1$/$\displaystyle 5$ +$\displaystyle 4$/$\displaystyle 25$ = $\displaystyle 9$/$\displaystyle 25$ New Ratio of Anisha and Lata = $\displaystyle 16$ : $\displaystyle 9$