Question

A, B and C are partners sharing profits and losses in the ratio of 3 : 2 : 1. On admission of D, they agree to share profits and losses in the ratio of 5 : 4 : 2 : 1. Sacrificing Ratio of A, B and C will be​

Answer 1

Explanation:

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