Keshav, Nirmal and Pankaj are partners sharing profits and losses in the ratio of 4:3:2. Nirmal retires and the goodwill is valued at ₹72,000. Keshav and Pankaj decided to share future profits and losses in the ratio of 5: 3. Gaining Ratio of Keshav and Pankaj is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 13/24 : 11/24
On retirement, each continuing partner’s gain = new share − old share. Here the new ratio 5:3 is not the old ratio 4:2, so the gains have to be worked out partner by partner.
Keshav’s gain = 5/8 − 4/9 = (45 − 32)/72 = 13/72
Pankaj’s gain = 3/8 − 2/9 = (27 − 16)/72 = 11/72
Gaining ratio = 13/72 : 11/72 = 13:11
Written as fractions of the whole: 13/24 : 11/24
Check: 13/72 + 11/72 = 24/72 = 3/9, which is Nirmal’s share. The goodwill figure of Rs. 72,000 is needed for the journal entry (Nirmal’s share Rs. 24,000 borne 13:11), not for the ratio.
NCERT (2026-27 edition):
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