A, B and C were partners in a firm sharing profits in the ratio of

4 :- A, B and C were partners in a firm sharing profits in the ratio of 3 : 2 : 1. They admitted D as a new partner for 1/8th share in the profits, which he acquired 1/16th from B and 1/16th from C. Calculate the new profit sharing ratio of A, B , C and D.

Solution:- Calculation of new profit sharing ratio of A, B, C and D
C’s share in profits is 1/8
A’s new share = 3/6 – 0 = 3/6 x 8/8 = 24/48
B’s new share = 2/6 – 1/16 = 16 -3/48 = 13/48
C’s new share = 1/6 – 1/16 = 8 – 3/48 = 5/48
D’s share = 1/8 x 6/6 = 6/48
New profit share of A, B, C and D is 24:13:5:6