Question : H, O and D were partners in a firm sharing profits and losses in the ratio of 2:2:1. The partners decide to share future profits and losses in the ratio of 3:2:1. Each partner’s gain or sacrifice due to change in ratio will be :
Option 1: H Gain 3/30, O Sacrifice 2/30, D sacrifice 1/30
Option 2: H Sacrifice 3/30, O gain 2/30, D Gain 1/30
Option 3: H Sacrifice 2/30, O Sacrifice 1/30, D Gain 3/30
Option 4: None of the above
Correct Answer: H Gain 3/30, O Sacrifice 2/30, D sacrifice 1/30
Solution : Answer = H Gain 3/30, O Sacrifice 2/30, D sacrifice 1/30
Sacrificing ratio = old ratio - new ratio
H = 2/5 - 3/6 = 12 - 15/ 30 = -3/30 (gain)
O = 2/5 - 2/6 = 12- 10/30 = 2/30 (sacrifice)
D = 1/5 - 1/6 = 6- 5/30 = 1/30 (sacrifice)
Hence, the correct option is 1.