Question

$A,B$ and $C$ are partners sharing profits in the ratio of $2:2:1$. $D$ is admitted as a new partner for $1/6^{th}$ share. $C$ will retain his original share. Calculate the new profit sharing ratio and sacrificing ratio.

Answer 1

A's old share= 2/5

B's old share= 2/5

C's old share= 1/5

D is admitted for 1/6th share. C will retain his original share.

Hence, remaining share= 1- [1/6] - [1/5]

= 19/30

This remaining share will be shared by A and B in their old ratio, i.e, 2:2

A's new share= 2/4 * 19/30

= 38/120

B's new share= 2/4 * 19/30

= 38/120

New Profit sharing ratio= 38:38:24:20

= 19:19:12:10

Sacrificing ratio= old ratio- new ratio

A's sacrifice= 2/5- 19/60

= 5/60

B's sacrifice= 2/5- 19/60

= 5/60

Sacrificing ratio= 5:5= 1:1

[Note: since nothing is mentioned, we assume that only A and B have sacrificed since C retains his old share]