Distinguish between Gaining Ratio and Sacrificing Ratio in terms of:
- Meaning
- Effect on Partner’s Share of Profit
- Mode of calculation
- When to calculate
Meaning: Gaining Ratio is the ratio in which the continuing partners acquire the share from the retiring or deceased partner. Sacrificing Ratio refers to the ratio in which a partner surrenders a portion of their profit share, indicated when the calculation of gaining share results in a negative value (sacrifice).
Effect on Partner’s Share of Profit: In the case of Gaining Ratio, the partner's share of profit increases as the new share is the sum of the old share and the acquired share. Conversely, in Sacrificing Ratio, the partner's share of profit decreases as they give up a part of their existing share to others.
Mode of Calculation: Gaining Ratio is calculated using the formula: New Share – Old Share. A positive result indicates a gain. Sacrificing Ratio is determined when this calculation yields a negative figure, representing the amount of share sacrificed by the partner.
When to Calculate: The calculation of Gaining Ratio arises primarily when the new profit sharing ratio of the continuing partners is specified, or upon the retirement/death of a partner. Sacrificing Ratio is calculated to determine the compensation for goodwill, as gaining partners must compensate the sacrificing partners to the extent of their gain.
Explanation
The answer distinguishes the two concepts based strictly on the provided textbook context. The definition of Gaining Ratio is explicitly stated in the 'Summary' and 'Terms Introduced' sections. The concept of Sacrificing Ratio is derived from the 'Working Notes' where Deepa's negative calculation is labeled as 'Sacrifice' and the 'Treatment of Goodwill' section mentions compensating the 'sacrificing partner'. The calculation method (New Share - Old Share) and the timing (when new ratio is specified) are directly pulled from the text regarding Gaining Ratio, while the purpose for Sacrificing Ratio is linked to goodwill adjustment mentioned in the summary.