Amit and Beena are partners in a firm sharing profits in the ratio of 3:2. They admit Chitra as a new partner. Amit sacrificed 1/4 of his share and Beena 1/3 of her share in favour of Chitra. The new profit sharing ratio of Amit, Beena and Chitra will be:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 27:16:17
Each old partner gives up a fraction of his own share, so the sacrifice is worked out on that share, not on the whole profit. The new partner’s share is the total of the two sacrifices.
Amit’s sacrifice = 1/4 of 3/5 = 3/20
Amit’s new share = 3/5 − 3/20 = 9/20 = 27/60
Beena’s sacrifice = 1/3 of 2/5 = 2/15
Beena’s new share = 2/5 − 2/15 = 4/15 = 16/60
Chitra’s share = 3/20 + 2/15 = 9/60 + 8/60 = 17/60
New ratio = 27 : 16 : 17
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):
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