(When one of the Old Partners Gifts his Share).
A and B are Partners sharing profits in the ration of which half share was gifted by A and the remaining share was taken by C equally from A and B. Calculate new profit-sharing ratio.

Explanation

`{:(,,A,B),((i),"Their old share",5//8,3//8),((ii),"Share gifted by A",3//10xx1//2=3//20,...),((iii),"Share acquired by C ,3//20xx1//2=3//40,3//20xx1//2=3//40):}`
New share of A =Old share-Share gifted -Share acquired by C
`=(5)/(8)-(3)/(20)-(3)/(40)=(25-6-3)/(40)=(16)/(40)`
New share of `B=(3)/(8)-(3)/(40)=(15-3)/(40)=(12)/(40)`
Thus, New Prfit-sharing Ration of A, B and `C=(16)/(40):(12)/(40):(3)/(40)=4:3:3`.