X and Y are partners sharing profits in the ratio of 3:2. Z is admitted as a partner. Calculate sacrificing ratio if the new profit-sharing ratio is 9:7:4.

03:01

Sacrifice of partner = Old share - New share
Old ratio is 3:2 and new ratio is 9:7:4
Sacrifice of X =3/5-9/20
                    = (12-9)/20
                     = 3/20
Sacrifice of Y= 2/5-7/20
                   = (8-7)/20
                   =1/20
Sacrificing ratio is = 3/20 : 1/20
                            = 3:1