X, Y and Z are Sharing Profits and Losses in the Ratio of 5 : 3 : 2. With Effect from 1st April, 2019, They Decide to Share Profits and Losses in the Ratio of 5 : 2 : 3 - Bzziii

X, Y and Z are sharing profits and losses in the ratio of 5 : 3 : 2. With effect from 1st April, 2019, they decide to share profits and losses in the ratio of 5 : 2 : 3. Calculate each partner's gain or sacrifice due to the change in ratio.

Partner X, Y,and Z's Old Ratio = 5:3:2

Partner X, Y,and Z's New Ratio = 5:2:3

Sacrificing/Gaining Ratio = Old Ratio - New Ratio

Partner X's Share = `5/10` - `5/10` = Nil

Partner Y's Share = `3/10` - `2/10` = `1/10` [sacrifice]

Partner Z's Share = `2/10` - `3/10` = `-1/10` [Gain]

∴ Partner X's Gain = `1/10` and

Partner Y's Sacrifice =  `1/10`