Question

A and B are two partners sharing profits in the ratio of $3:2$. They admit C into partnership as a partner. A gives 1/3rd of his share while B gives $1/10$th from his share. The new profit sharing ratio will be __________.

• A. $3:4:3$
• B. $6:1:3$
• C. $2:4:3$
• D. $10:9:6$

Answer 1

The correct option is D $10:9:6$

Old ratio (A and B) = 3 : 2

Sacrificing ratio = Old ratio * surrender ratio

A's sacrifice = (3/5) * (1/3) = 1/5

B's sacrifice = (2/5) * (1/10) = 1/25

New ratio = Old ratio - sacrificing ratio

A's new ratio = (3/5) - (1/5) = 2/5

B's new ratio = (2/5) - (1/25) = 9/25

C's share = A's sacrifice + B's sacrifice

= (1/5) + (1/25)

= 6/25

New profit sharing ratio = A : B : C

= 2/5 : 9/25 : 6/25

= 10 : 9 : 6