Question

$X$ and $Y$ are partners sharing profits and losses in the ratio of $3:2$. They admit $Z$ into partnership. $X$ gives $1/3^{rd}$ of his share while $Y$ gives $1/{10}^{th}$ from his share to $Z$. calculate new profit-sharing and sacrificing ratio.

Answer 1

X's old share= 3/5

Y's old share= 2/5

Z is admitted as a partner.

X's sacrifice= 3/5 * 1/3

= 3/15

Y's sacrifice= 1/10

Therefore, Z's share= 3/15 + 1/10

= 9/30

X's new share= 3/5- 3/15

= 6/15

Y's new share= 2/5- 1/10

= 3/10

New profit sharing ratio= 4:3:3

Sacrificing ratio= 2:1