Question

3. A and B are in partnership sharing profits and losses in the ratio of 3 : 2 .They admit C into partnership with 1/6th share which he acquires equally from A and B. Calculate the new profit sharing ratio​

Answer 1

Correct option is C)

Old ratio (A and B) = 3 : 2

C is admitted for 1/4 share 

Let the combined share of A, B and C = 1

Combined share of A and B after C's admission = 1 - C's share

                                                                                 = 1 - (1/4) = 3/4

New share :

A = (3/4) * (1/2) = 3/8

B = (3/4) * (1/2) = 3/8

C = 1/4 

Therefore, A : B : C = 3/8 : 3/8 : 1/4

                                 = 3 : 3 : 2

Sacrificing ratio = Old ratio - New ratio

A's sacrifice = (3/5) - (3/8) = 9/24

B's sacrifice = (2/5) - (3/8) = 1/24

Therefore, sacrificing ratio of A and b is 9 : 1