Question : A and B are business partners who split gains and losses 2:1. New partner C is entered, and the profit sharing ratio changes to 4: 3: 2. The value of goodwill is Rs. 94,500. C provides the needed goodwill and money. The amount of goodwill that will be credited to C is -
Option 1: A: Rs. 12,000 and B: Rs. 9,000
Option 2: A: Rs. 14,000 and B: Rs. 7,000
Option 3: A: Rs. 21,000
Option 4: A: Rs.94,500
Correct Answer: A: Rs. 21,000
Solution : The premium for goodwill is given only on the sacriface made by the old partner in their Sacrifice ratio.
Sacrifice ratio = Old ratio - New ratio
A's Sacrifice = 2/3 - 4/9 = 2/9
B's Sacrifice = 1/3 - 3/9 = 0/9
Here the B has not sacrifice something and have not gain anything. Therefore the amt of goodwill will be given to A only.
A will get 94500 × 2/9 = 21000 rupees
Hence the correct answer is option 3.




