Question

A and B are the partners sharing profits in 3:2.Ratio .C is admitted for 1/5 share which he acquires equally from both A and B . Find out the new ratio of partners.

Answer 1

Answer:

Old ratio (A and B) = 3 : 2

C is admitted for 1/5 th share

A's sacrifice in favour of C = (1/5) * (1/2) = (1/10)

B's sacrifice in favour of C = (1/5) * (1/2) = (1/10)

New ratio = Old ratio - Sacrificing ratio

A's new ratio = (3/5) - (1/10) = 5/10 or 1/5

B's new share = (2/5) - (1/10) = 3/10

C's share = A's sacrifice + B's sacrifice

                = (1/10) + (1/10) 

                =  2/10

Therefore, new profit sharing ratio of A, B and C is 5 : 3 : 2

hope it is useful for you