Question

A, B and C are partners sharing profits in the ratio of $4:3:2$. B retires. A and C decide to share profits in the future in the ratio of $5:3$. The gaining ratio will be _______.

• A. $11:13$
• B. $4:2$
• C. $3:5$
• D. $13:11$

Answer 1

The correct option is D $13:11$

Old ratio (A, B and C) = 4 : 3 : 2

New ratio (A and C) = 5 : 3

Gaining ratio = New ratio - Old ratio

A's gain = (5/8) - (4/9) = 13/72

C's gain - (3/8) - (2/9) = 11/72

Therefore, gaining ratio of A and C = 13 : 11