Question

A, B, C & D are partners sharing profits & losses in the ratio of $3:3:2:2$. D retires, and A, B & C decide to share the future profits in the ratio of $3:2:1$. The gaining ratio will be _________.

• A. $1:6$
• B. $6:1$
• C. $1:1$
• D. none of these

Answer 1

The correct option is B $6:1$

Old ratio (A, B, C and D) = 3 : 3 : 2 : 2

New ratio (A, B and C) = 3 : 2 : 1

Gaining ratio = New ratio - Old ratio

A's gaining ratio = (3/6) = (3/10) = 6/30

B's gaining ratio = (2/6) = (3/10) = 1/30

C's gaining ratio = (1/6) - (2/10) = -1/6 i.e., C is sacrificing.

Therefore, gaining ratio = 6 : 1