Understanding Partnership Ratios and Goodwill Valuation

This question asks us to match key terms related to partnership accounting adjustments with their corresponding formulas or valuation methods. Let's break down each item in List I and find its correct match in List II.

Matching List I with List II

Let's examine each item from List I:

• A. Sacrificing Ratio: When there is a change in the profit-sharing ratio or admission of a new partner, some existing partners may give up a part of their share of profit in favour of others. The ratio in which they give up their share is called the Sacrificing Ratio. The formula to calculate a partner's sacrifice is their old share minus their new share. This matches with List II, item II. Old Ratio – New Ratio.
• B. New Ratio: The New Ratio is the revised profit-sharing ratio among partners after a change in the partnership agreement (e.g., admission, retirement, change in existing ratios). If a partner is gaining, their new ratio is their old share plus the share they gained. List II, item III. Old Ratio + Gaining Ratio represents one way to arrive at the new ratio for a gaining partner.
• C. Gaining Ratio: When there is a change in the profit-sharing ratio or retirement/death of a partner, some remaining partners may gain a part of the share previously held by others. The ratio in which they gain is called the Gaining Ratio. The formula to calculate a partner's gain is their new share minus their old share. This matches with List II, item I. New Ratio – Old Ratio.
• D. Value of Goodwill: Goodwill is the value of the reputation of a business. It is often valued at the time of changes in partnership. One common method for valuing goodwill is based on average profits of past years, multiplied by a certain number of years purchase. List II, item IV. Average profit × No. of years purchase represents the valuation of goodwill using the average profit method.

Consolidating the Matches

Based on our analysis, the correct matches are:

• A matches with II (Sacrificing Ratio = Old Ratio – New Ratio)
• B matches with III (New Ratio = Old Ratio + Gaining Ratio)
• C matches with I (Gaining Ratio = New Ratio – Old Ratio)
• D matches with IV (Value of Goodwill = Average profit × No. of years purchase)

Putting this together, the correct combination is A-II, B-III, C-I, D-IV.

Revision Table: Partnership Accounting Formulas

Additional Information: Partnership Accounting Concepts

Understanding these ratios and goodwill valuation methods is crucial in partnership accounting, especially during events like:

• Admission of a New Partner: Existing partners usually sacrifice a part of their share to the new partner, leading to calculation of Sacrificing Ratio and valuation/adjustment of goodwill.
• Retirement or Death of a Partner: The remaining partners gain the retiring/deceased partner's share, leading to calculation of Gaining Ratio and valuation/adjustment of goodwill.
• Change in Profit Sharing Ratio among Existing Partners: Some partners sacrifice, while others gain, requiring calculation of both Sacrificing and Gaining Ratios and adjustment of goodwill.

Different methods exist for goodwill valuation, such as the Super Profit Method and Capitalization Method, in addition to the Average Profit Method discussed here. The method used often depends on the specific partnership agreement.