Question

Q.12. X and Y are partners in a firm sharing profit and losses in the ratio of 3:2 respectively.Z is admitted for 1/6thshare in profits. Z acquires his share from X and Y in the ratio of 2:1respectively. Calculate the new profit sharing ratio of the partners.

Answer 1

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Answer 2

Solution :-

Z's is admitted for 1/6th share in profits

Z acquires his share from X and Y in ratio of 2 : 1

Sacrifice by X = 1/6 × 2/3 = 2/18

Sacrifice by Y = 1/6 × 1/3 = 1/18

So, Z acquires 2/18 from X and 1/18 from Y

Old share of X and Y = 3 : 2

Remaining share of X in profits = 3/5 - 2/18

⇒ (54 - 10)/90

⇒ 44/90

Remaining share of Y in profits = 2/5 - 1/18

⇒ (36 - 5)/90

⇒ 31/90

So, new profit sharing ratio of X, Y and Z = 44/90 : 31/90 : 1/6

⇒ 44/90 : 31/90 : 15/90

⇒ X : Y : Z = 44 : 31 : 15

Answer.