X, Y and Z were partners in a firm sharing profit and losses in the ratio of $\displaystyle 5$ : $\displaystyle 3$ : 2. Y retired from the Firm and X and Z decided to share future profits in the ratio of $\displaystyle 3$ : 2. Calculate the Gain/Sacrifice of X and Z.

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     $\displaystyle 5$ $\displaystyle 10$ $\displaystyle 10$ $\displaystyle 10$