A and B are partners of a firm.they admitted C for 1/6th share as a new partner.after the admission of C ,the new profit and loss sharing ratio of A and B will be 2:3.

Dear Student
Your question seems to be incomplete and unclear. As far as we can understand the question , it might be possible that you need sacrificing ratio in this question.
So Old Ratio assumed to be 1:1 between A and B.
C admitted for 1/6th share.
New profit sharing ratio will be 2:3:1.
Sacrificing ratio:. Old ratio - New ratio
A = 1/2-2/6 = 1/6
B = 1/2-3/6 = 0
So A is sacrificing with 1/6 share
Regards

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