The correct answer is: A. old profit sharing ratio.
In the event of the death of a partner, the accumulated profit and losses are shared by the partners in their old profit sharing ratio. This is because the death of a partner does not automatically dissolve the partnership. The remaining partners have the option to continue the partnership, in which case the deceased partner’s share is distributed to his or her heirs. The heirs then become new partners in the partnership, and they share in the profits and losses in the same ratio as the deceased partner did.
Option B is incorrect because the new profit sharing ratio is not determined until after the death of a partner. The new profit sharing ratio is determined by the agreement of the remaining partners and the heirs of the deceased partner.
Option C is incorrect because the capital ratio is not relevant in determining how the accumulated profit and losses are shared after the death of a partner. The capital ratio is only relevant in determining how the assets and liabilities of the partnership are distributed after the death of a partner.
Option D is incorrect because the accumulated profit and losses are not shared in equal ratio after the death of a partner. The accumulated profit and losses are shared in the old profit sharing ratio.