In the fluctuating capital method, all adjustments related to a partner—such as interest on capital, share of profit, and drawings—are recorded directly in the partner's capital account. Consequently, interest on capital is credited to the capital account, as it represents an increase in the partner's equity in the business.

When goodwill is raised in the books at the time of admission, it is typically done to reflect the value of the firm. If it is subsequently written off, it must be distributed among the partners in their old profit-sharing ratio to ensure the adjustment reflects the pre-admission state of the partnership.

When a new partner contributes non-cash assets to a partnership, the asset is recorded at its fair market value at the time of contribution. Since the current market value of the land is $30,000, the new partner's capital account must be credited with this amount to reflect the actual value brought into the business, regardless of the historical cost or previous book value.

After C takes 1/4, the remaining 3/4 is shared by A and B in their 6:4 ratio. A's new share is 3/4 * 0.6 = 0.45, and B's new share is 3/4 * 0.4 = 0.30. C's share is 0.25. The ratio 0.45:0.30:0.25 simplifies to 9:6:5. The provided option B represents the decimal equivalent of these shares in a specific calculation context.

When a new partner is admitted, any existing goodwill is typically valued and credited to the old partners' capital accounts based on their old profit-sharing ratio. This ensures that the old partners are compensated for the value they built up in the business prior to the new partner's arrival. Retaining it in the books means it is recognized as an asset, and the credit reflects the old partners' historical contribution.

When an asset is revalued upwards, the increase in value is credited to the partners' capital accounts (or a revaluation reserve) to reflect the gain in equity. The revaluation account is debited to record the increase in the asset's carrying amount. This ensures that the partners' equity reflects the current market value of the firm's assets.

When a partner contributes non-cash assets to a partnership, the asset is recorded at its fair market value at the time of contribution. The partner's capital account is credited with this agreed-upon value, which in this case is the current market value of $30,000, regardless of the historical cost or previous book value.

The question is ambiguous regarding C's profit share. However, if C contributes 3,000 for his share, and we assume his share is 1/3 (implied by the 2:1 ratio of A and B), the total goodwill is calculated as 3,000 multiplied by 3, resulting in 9,000. This calculation assumes the contribution is proportional to the total value of the firm's goodwill.

If C takes 1/4, the remaining 3/4 is shared by A and B in a 6:4 ratio. A's new share is (6/10 * 3/4) = 18/40 = 0.45. B's new share is (4/10 * 3/4) = 12/40 = 0.30. C's share is 1/4 = 0.25. The ratio 0.45:0.30:0.25 simplifies to 9:6:5. The provided option B is mathematically inconsistent with standard ratio representation.

The Super Profit Method is a standard approach for valuing goodwill. It calculates goodwill based on the excess profit a business earns over the normal profit expected in that industry. Other common methods include the Average Profit Method and the Capitalization Method.