x,y and z are patners sharing profits in the ratio of 1/9 : 1/3 and 5/9 z retires and - Accountancy - Reconstitution- Retirement/Death of a Partner

Question

x,y and z are patners sharing profits in the ratio of 1/9 : 1/3
and 5/9 z retires and surrenders 3/4th of his share in favour of x
and remaining in favour of y calculate new ratio and gaining
ratio

Rohit Makkar · Accepted Answer

Z's Share = 5/9
Now, X will get 3/4th of Z's Share and Y will get remaining (i e
1 - (3/4) = 1/4th) of Z's Share
Gaining Ratio between X and Y = (3/4) : (1/4) =
3:1
So, X's Gaining Share = (5/9) * (3/4) = 5/12,
and, Y's Gaining Share = (5/9) * (1/4) = 5/36
Therefore,
X's New Share:
= X's Old Share + X's Gaining Share
= 1/9 + 5/12
= (1*4 + 5*3) / 36
= (4 + 15) / 36
= 19/36,
and,
Y's New Share:
= Y's Old Share + Y's Gaining Share
= 1/3 + 5/36
= (1*12 + 5) / 36
= (12 + 5) / 36
= 17/36
So, New Ratio = (19/36) : (17/36) = 19 : 17

x,y and z are patners sharing profits in the ratio of 1/9 : 1/3 and 5/9. z retires and surrenders 3/4th of his share in favour of x and remaining in favour of y. calculate new ratio and gaining ratio.