The old profit sharing ratio among Gagan, Richa and Madhuri was 2:2:1. The new profit sharing ratio after Richa's retirement is 3:2. The gaining ratio is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 1:1
The gaining ratio is the ratio in which the continuing partners take over the retiring partner’s share. When their new ratio is given, each partner’s gain is new share − old share.
Old shares (2:2:1): Gagan 2/5, Richa 2/5, Madhuri 1/5
New shares (3:2): Gagan 3/5, Madhuri 2/5
Gagan’s gain = 3/5 − 2/5 = 1/5
Madhuri’s gain = 2/5 − 1/5 = 1/5
Gaining ratio = 1/5 : 1/5 = 1:1
Richa’s 2/5 is split equally between the two, so the gaining ratio is equal even though their new ratio is 3:2. Taking the new ratio 3:2 itself as the gaining ratio is the usual slip.
Note: This question is from NCERT (2026-27). NTA sets numerical questions from NCERT too, so do not ignore NCERT while practising numericals.
NCERT (2026-27 edition):
|

