Vijay and Sanjay are partners in a firm sharing profits and losses in the ratio of 3:2. They admitted Ajay into partnership with 1/4th share in profits. Ajay brings in Rs. 30,000 for capital and the requisite amount of premium in cash for goodwill. The goodwill of the firm is valued at Rs. 20,000. The new profit sharing ratio is 2:1:1. The sacrificing ratio of Vijay and Sanjay is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 2:3
The sacrifice of each old partner = old share − new share. Ajay’s capital and the goodwill figure are not needed for the ratio.
Vijay: 3/5 − 2/4 = 12/20 − 10/20 = 2/20
Sanjay: 2/5 − 1/4 = 8/20 − 5/20 = 3/20
Sacrificing ratio = 2/20 : 3/20 = 2:3
The old ratio 3:2 (Option (3)) would be the sacrificing ratio only if both gave up in their old ratio; here the new ratio 2:1:1 is given, so the sacrifice has to be worked out.
NCERT (2026-27 edition):
|
