Accountancy Part AAdmission of a Partner

Jitesh, Kamal and Lakhan are partners, sharing profits in the ratio o…

Jitesh, Kamal and Lakhan are partners, sharing profits in the ratio of 3:2:1. Farhan is admitted in the firm for 1/6th share in profits. Lakhan would retain his original share. The new profit sharing ratio between Jitesh, Kamal, Lakhan and Farhan will be:

Answer & explanation

Correct answer: option 3

The correct answer is Option (3) → 12 : 8 : 5 : 5

Lakhan keeps his original share, so he gives up nothing. Farhan's 1/6 therefore comes only from Jitesh and Kamal, who keep what is left between them in their old ratio 3 : 2.

Lakhan's share = 1/6 = 5/30
Farhan's share = 1/6 = 5/30
Left for Jitesh and Kamal = 1 − 1/6 − 1/6 = 4/6
Jitesh = 4/6 × 3/5 = 12/30
Kamal = 4/6 × 2/5 = 8/30
New ratio = 12 : 8 : 5 : 5

NCERT (2026-27 edition):
New Profit Sharing Ratio – “When new partner is admitted he acquires his share in profits from the old partners. In other words, on the admission of a new partner, the old partners sacrifice a share of their profit in favour of the new partner. But, what will be the share of new partner and how he will acquire it from the existing partners is decided mutually among the old partners and the new partner.”