Question

Q.3 (A). X and Y are partners sharing profits in the ratio of 2:1. Z is admitted with
5/11th share which he takes 3/11th from X and 2/11th from Y. Calculate the new partner
sharing ratio of the partners.
[Ans. 13:5:15.]​

Answer 1

X's old share= 3/5

Y's old share= 2/5

Z is admitted for 1/4th share

Sacrificing ratio is 2:1

Z acquired 2/3 * 1/4 = 2/12 from X

Z acquired 1/3 * 1/4 = 1/12 from Y

Hence,

X's new ratio= 3/5-2/12

= 26/60

Y's new ratio= 2/5-1/12

= 19/60

Z's share= 15/60

New Profit sharing ratio= 26:19:15