In the absence of any information regarding the acquisition of share…

The correct answer is Option (1) → Old profit sharing ratio

If nothing is said about how the remaining partners take over the retiring partner’s share, they are assumed to acquire it in their old profit sharing ratio, and they continue to share future profits in that ratio.

Option (2) Capital ratio — Incorrect. Capital ratio applies only if the partners agree to it.

Option (3) Equal ratio — Incorrect. Equal sharing is the rule only when there is no agreement on profit sharing at all, not for acquiring a retiring partner’s share.

Option (4) Sacrificing ratio — Incorrect. On retirement the remaining partners gain; the sacrificing ratio belongs to admission.