Lal, Bal and Pal were partners sharing profit & loss in ratio 5 : 3 : 2. Bal retired, Lal and Pal decided to share future profit & loss in the ratio 2 : 1. Determine the Gaining ratio between Lal and Pal :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 5 : 4
The gaining ratio is the ratio in which the continuing partners take over the retiring partner’s share. Each partner’s gain = new share − old share.
Old shares: Lal 5/10, Pal 2/10; new shares: Lal 2/3, Pal 1/3
Lal’s gain = 2/3 − 5/10 = 20/30 − 15/30 = 5/30
Pal’s gain = 1/3 − 2/10 = 10/30 − 6/30 = 4/30
Gaining ratio of Lal and Pal = 5/30 : 4/30 = 5 : 4
Note: The gaining ratio here is not the old ratio 5 : 2 or the new ratio 2 : 1, because the partners have changed their shares among themselves; it must be worked out from the change in each share.
NCERT (2026-27 edition): |