Calculating Machinery Value on Partner Admission

When a new partner is admitted into a firm, assets and liabilities are often revalued. This is done to show the true and fair value of the firm's position at the time of admission, ensuring that the new partner neither benefits from hidden profits (undervalued assets, overvalued liabilities) nor suffers from hidden losses (overvalued assets, undervalued liabilities).

Understanding Undervalued Assets

An asset is said to be undervalued when its book value (the value shown in the balance sheet) is less than its actual or market value. In this specific case, the machinery account shows a balance of ₹ 45,000, but it is stated that this value is 10% less than its true value.

Step-by-Step Calculation of Machinery Value

We are given the following information:

• Book value of Machinery = ₹ 45,000
• Machinery is undervalued by 10%

If the machinery is undervalued by 10%, it means that the current book value of ₹ 45,000 represents \(100\% - 10\% = 90\%\) of its true value.

Let the true value of the Machinery be \(X\).

According to the problem, 90% of \(X\) is equal to ₹ 45,000.

This can be written as:

\(90\% \text{ of } X = 45,000\)

\(\frac{90}{100} \times X = 45,000\)

\(0.90 \times X = 45,000\)

To find \(X\), we need to divide ₹ 45,000 by 0.90:

\(X = \frac{45,000}{0.90}\)

\(X = \frac{45,000}{\frac{9}{10}}\)

\(X = 45,000 \times \frac{10}{9}\)

\(X = \frac{450,000}{9}\)

\(X = 50,000\)

So, the true value of the machinery is ₹ 50,000.

Machinery Value in the New Balance Sheet

On the admission of a partner, assets are shown at their revalued amounts in the new Balance Sheet. Since the true value of the machinery is calculated to be ₹ 50,000, this is the value that will be shown for Machinery in the Balance Sheet of the newly constituted firm.

Impact on Revaluation Account

The increase in the value of Machinery is ₹ 50,000 (True Value) - ₹ 45,000 (Book Value) = ₹ 5,000. This increase of ₹ 5,000 represents a gain on revaluation. Gains on revaluation are credited to the Revaluation Account. This gain is then distributed among the old partners in their old profit-sharing ratio.

Revision Table: Asset Revaluation

Additional Information: Partner Admission and Revaluation

When a new partner joins a firm, accounting adjustments are necessary to correctly determine the financial position and distribute accumulated profits or losses. Key adjustments include:

• Revaluation of Assets and Liabilities: This process involves reassessing the current market values of assets and liabilities. The profit or loss arising from revaluation belongs to the old partners and is shared in their old profit-sharing ratio. A Revaluation Account (also known as Profit and Loss Adjustment Account) is opened for this purpose.
• Adjustment for Reserves and Accumulated Profits/Losses: Any undistributed profits (like General Reserve, Profit and Loss Account credit balance) or losses (like Profit and Loss Account debit balance, advertisement suspense account) existing at the time of admission are distributed among the old partners in their old profit-sharing ratio. These items should not be carried forward to the new partnership as they relate to the period before the new partner joined.
• Adjustment for Goodwill: Goodwill is the value of the reputation of the firm. On admission, the new partner may compensate the old partners for their share of the firm's goodwill. This can be done in various ways, such as the new partner bringing in a premium for goodwill or adjusting capital accounts.
• Adjustment of Capital: Partners' capital accounts may be adjusted based on the new profit-sharing ratio or on some other agreed basis, often involving the new partner's capital contribution.

Revaluation ensures that the new partner contributes capital based on the firm's current values, and that the old partners receive the benefit or bear the loss from the change in value of assets and liabilities up to the date of admission.