Ajay, Bijoy and Payal are partners in a firm sharing profits in the ratio of 3:2:1. Sunil is admitted into the firm for 1/4 share in profits, which he gets as 1/8 from Ajay and 1/8 from Bijoy. The total capital of the firm is agreed upon as Rs. 1,20,000 and Sunil is to bring in cash equivalent to 1/4 of this amount as his capital. The new profit sharing ratio of Ajay, Bijoy, Payal and Sunil will be:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 9:5:4:6
Each old partner’s new share is his old share minus the share he gives up to the new partner. A partner who gives up nothing keeps his old share.
Ajay = 3/6 − 1/8 = 1/2 − 1/8 = 3/8
Bijoy = 2/6 − 1/8 = 1/3 − 1/8 = 5/24
Payal = 1/6 (no sacrifice)
Sunil = 1/4
With 24 as the common denominator:
3/8 : 5/24 : 1/6 : 1/4 = 9/24 : 5/24 : 4/24 : 6/24
New ratio = 9 : 5 : 4 : 6
The total capital of Rs. 1,20,000 given in the question is not needed for the ratio.
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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