Question

A, B and C are partners sharing profits in the ratio of $1/2,1/3$ and $1/6$. B retires. A and C decide to share future profits in the ratio of $3:2$. The gaining ratio will be ______.

• A. $3:2$
• B. $2:3$
• C. $7:3$
• D. $3:7$

Answer 1

The correct option is D $3:7$

Old ratio (A, B and C) = 1/2 : 1/3 : 1/6 or 3 : 2 : 1

New ratio (A and C) = 3 : 2

Gaining ratio = New ratio - Old ratio

A's gain = (3/5) - (3/6) = 3/30 or 1/10

C's gain - (2/5) = (1/6) = 7/30

Therefore, gaining ratio of A and C = 3 : 7