Ram, Mohan and Roy are Partner in the ratio of 8:6:4 Ram retires, Mohan and Roy decided to share profits in the ratio of 10:6. Calculate gaining ratio.
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 21:11
When the continuing partners agree on a new ratio, each one’s gain is found partner by partner as new share minus old share.
Old shares: Mohan = 6/18, Roy = 4/18
New shares: Mohan = 10/16, Roy = 6/16
Mohan’s gain = 10/16 − 6/18 = 90/144 − 48/144 = 42/144
Roy’s gain = 6/16 − 4/18 = 54/144 − 32/144 = 22/144
Gaining ratio = 42 : 22 = 21 : 11
The gaining ratio would equal the old ratio of the continuing partners (6:4, that is 3:2) only if they had kept their old ratio after Ram’s retirement; here they agreed on a different ratio.
NCERT (2026-27 edition):
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