Explanation:

- Initially, A and B share profits in the ratio of 4:3.

- This means A's share is 4/7 and B's share is 3/7.

- C is admitted as a new partner and takes 1/5th of the total profit, which comes entirely from A's share.

- Calculate A's new profit share after giving 1/5th to C:

* Originally, A had 4/7.

* C takes 1/5th of total profit, so A's new share is: 4/7 - 1/5.

* Calculate the new share: (20/35) - (7/35) = 13/35.

- C's share is 1/5 or 7/35.

- B's share remains 3/7 or 15/35.

- New profit sharing ratio among A, B, and C will be 13:15:7.

*Given options:*

1. 20:8:7

2. 13:15:15

3. 13:15:7

4. 15:13:5

Correct Answer: Option 3 (13:15:7)

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