Amar and Bahadur are partners in a firm sharing profits in the ratio of 3:2. They admitted Mary as a new partner for 1/4 share. The new profit sharing ratio between Amar and Bahadur will be 2:1. Calculate their sacrificing ratio.

Explanation

`{:("Marry's share",=,(1)/(4)),("Remaining share",=,1-(1)/(4)=(3)/(4)):}`
This `3//4` share is to be shared by Amar and Bahadur in the ratio of 2:1. Therefore,
`{:("Amar's new share",=,(2)/(3)"of" (3)/(4)=(6)/(12)"or"(2)/(4)),("Bahadur's new share",=,(1)/(3)"of" (3)/(4)=(3)/(12)or(1)/(4)):}`
New profit sharing ratio of Amar, Bahadur and Mary will be 2:1:1.
`{:("Amar's sacrifice",=,(3)/(5)-(2)/(4)=(2)/(20)),("Bahadur's sacrifice",=,(2)/(5)-(1)/(4)=(3)/(20)):}`
Sacrificing ratio among Amar and Bahadur will be 2:3.