Prince, Queen and Raja are partners sharing profit and losses in the ratio 5:4:3. Raja retires and Prince and Queen decide to share future profits equally. Gaining Ratio will be:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 1 : 2
Gaining ratio = new share − old share, worked out for each continuing partner.
Old shares: Prince 5/12, Queen 4/12, Raja 3/12
New shares: Prince 1/2 = 6/12, Queen 1/2 = 6/12
Prince gains 6/12 − 5/12 = 1/12
Queen gains 6/12 − 4/12 = 2/12
Gaining ratio = 1/12 : 2/12 = 1 : 2
Check: the two gains, 1/12 + 2/12 = 3/12, add up to Raja’s share.
Note: NTA picked this question from an NCERT (2026-27) exercise and changed the figures. Do not ignore NCERT while practising numericals.
NCERT (2026-27 edition):
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