Practicing Success

Target Exam

CUET

Subject

Accountancy

Chapter

Admission of a Partner

Question:
X and Y are partners sharing profit in the ratio of 3 : 2. Z was admitted with 1/4 share in profits which he acquires equally from X and Y. The new ratio will be
Options:
09:06:05
19:11:10
03:03:02
03:02:04
Correct Answer:
19:11:10
Explanation:
X and Y are partners in a firm, sharing profits and losses in the ratio 3:2.
Z was admitted into the firm for 1/4th share in profits, which he acquires equally from X and Y.
To find: The new profit-sharing ratio.
Answer:
X's old share = 3/5
Y's old share = 2/5
Z's share = 1/4
Since Z acquires 1/4 from X and Y equally, half of 1/4, i.e., 1/4 ÷ 2 = 1/8 will be deducted from X's and Y's share.
Calculation of the new profit-sharing ratio:
New share = Old share - Sacrifice
For X:
New share = 3/5 - 1/8 = (24 - 5)/40 = 19/40
For Y:
New share = 2/5 - 1/8 = (16 - 5)/40 = 11/40
For Z:
New share = 1/4, or 10/40
Therefore, the new profit-sharing ratio is 19:11:10.