Question

X and Y are partners in a firm sharing profits and losses in the ratio of 2:1. After
Z's admission into the partnership, the new profit sharing ratio between X. Y and
Z has become 3:2:1. Calculate the sacrificing ratio between X and Y.​

Answer 1

Answer:

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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