(New profit-sharing Ratio of all Partners is given).
A and B are partners sharing profits in the ratio of 3 : 2. C is admitted into partnership. New profit-shareing ratio among A, B and C is 5: 3 : 2. Find the sacrificing ratio.

Explanation

Sacrifice of share =Old share - New share
A's old share `(3)/(5)`, A's new share `=(5)/(10)`, thus, A's sacrifice is `(3)/(5)-(5)/(10)=(6-5)/(10)=(1)/(10)`.
A's old share `=(2)/(5)`, B's new share `=(3)/(10)`, thus, B's sacrifice is `(2)/(5)-(3)/(10)=(4-3)/(10)=(1)/(10)`.
Hence, Sacrificing Ratio of A and B `=(1)/(10):(1)/(10)=1:1`.