J and K are partners sharing profits in the ratio of 3:2. C is admitted as a partner. The new profit sharing ratio among J, K and C is 4:3:2.?

Say a profit of60 is shared between J and K as36 and24 respectively. If C comes, it'll be shared as26.6:20:13.33. So the loss happened to J and K is9.4 and4 respectively, which is the sacrifice done by them. Converting the ratio9.4:4 to integers, it is7:3, option C.Correct me if I'm wrong. Thankyou

initial ratio's of shares of j and k is3:2after C Joined with them , j : k : c =4:3:2j' sacrificed proportion is = (3/5) - (4/9) =7/45

k' sacrificed proportion is = (2/5) -(3/9) =3/45

sacrificed ratio's of J and K is7/45  :3/45 =7:3