Question

X andY are partners sharing profit in the ratio of 3:2. Z was admitted with ¼ share in profit which he aquire equally from both old partners . the new ratio will be​

Answer 1

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Answer 2

Explanation:

Solution :

X and Y are partners sharing profit in the ratio of 3 : 2

X : Y = 3 : 2

• X's share = 3/5
• Y's share = 2/5

Z was admitted with 1/4 share in profits which he acquires equally from X and Y.

X's share acquired by Z =

1/4 × 1/2 = 1/8

Y's share acquired by Z =

1/4 × 1/2 = 1/8

New profit sharing ratio :

X's new share =

3/5 - 1/8 = (24 - 5)/40

19/40

Y's new share =

2/5 - 1/8 = (16 - 5)/40

11/40

Z's share =

1/4 × 10/10 = 10/40

New profit sharing ratio :

• X : Y : Z
• 19/40 : 11/40 : 10/40

19 : 11 : 10

Therefore, The new ratio will be X : Y : Z = 19 : 11 : 10