X, Y and Z were partners in a firm sharing profit and losses in the ratio of 5: 3: 2. Y retired from the Firm and X and Z decided to share future…

Old Ratio X : Y : Z $\displaystyle 5$ : $\displaystyle 3$ : $\displaystyle 2$ New Ratio X : Z $\displaystyle 3$ : $\displaystyle 2$ Gain = New Share - Old Share $\displaystyle 3$ $\displaystyle 5$ $\displaystyle 6$ − $\displaystyle 5$ $\displaystyle 1$ X = − = = $\displaystyle 5$ $\displaystyle 10$ $\displaystyle 10$ $\displaystyle 10$ $\displaystyle 2$ $\displaystyle 2$ $\displaystyle 4$ − $\displaystyle 2$ $\displaystyle 2$ Z = − = = $\displaystyle 5$ $\displaystyle 10$ $\displaystyle 10$ $\displaystyle 10$