Question

x and y are partners in a firm sharing profit and losses in the ratio of 2:1.Z is admitted in the firm as a partner with 1/6 share which the acquires equally from X and Y. Ccalculate in the new profit sharing ratio
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Answer 1

Answer:

new profit ratio will be... 7:3:2

Explanation:

Old profit sharing ratio between x and y is 2:1 and as z took equal portion of his share from x and y ..that means he took 1/6*1/2 from x and 1/6*1/2 form y ..

so x new share will be 2/3-1/12=7/12

and y's share will be 1/3-1/12=3/12

n z'share is 1/6 i.e 2/12

so...7:3:2 is ur NPSR

Answer 2

Given: X and Y were partners in a firm sharing profit and losses in the ratio of 2:1. Z is admitted in the firm as a partner with 1/6th share which the acquires equally from X and Y.

To find: New profit sharing ratio of X, Y and Z

Solution:

We have old profit sharing ratio of X and Y.

• X's share = 2/3
• Y's share = 1/3

Let's assume the total profit be 1.

Z is admitted as a new partner with 1/6th share which he acquires equally from X and Y i.e. sacrifice ratio of both X and Y is 1/2.

• Z acquires share from X = 1/2 x 1/6 = 1/12

• Z acquires from Y = 1/2 x 1/6 = 1/12

New profit sharing ratio

• X's new share = 2/3 - 1/12 = 7/12

• Y's new share = 1/3 - 1/12 = 3/12

Required profit sharing ratio is:

X : Y : Z

1/6 : 7/12 : 3/12

2/12 : 7/12 : 3/12

2 : 7 : 3

So the required ratio is 2:7:3.