Question

X and Y are partners in a firm sharing profits in the ratio 5:3. They admitted Z as a
1
partner for-th share in the profits. Z acquired his share from X and Y in the ratio of 3 : 1
4
Calculate new profit sharing ratio.​

Answer 1

Explanation:

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