Question

What is the difference between a 'Sacrificing Ratio' and a 'Gaining Ratio'?

Hint:

Sacrificing Ratio applies during admission of a partner, while Gaining Ratio applies during retirement or death of a partner.

Answer 1

Concept: In partnership accounting, changes in partnership structure such as admission or retirement of a partner affect profit-sharing ratios. Sacrificing and gaining ratios help determine compensation for goodwill and adjustment of profits among partners.
Step 1: Sacrificing Ratio. The Sacrificing Ratio refers to the ratio in which existing (old) partners give up a portion of their profit share in favour of a new partner at the time of admission. \[ \text{Sacrificing Ratio} = \text{Old Ratio} - \text{New Ratio} \]
Step 2: Gaining Ratio. The Gaining Ratio refers to the ratio in which remaining partners gain the share of a retiring or deceased partner. It is calculated as: \[ \text{Gaining Ratio} = \text{New Ratio} - \text{Old Ratio} \]
Step 3: Key Differences.

• 
  Situation: Sacrificing ratio is used during admission of a partner, while gaining ratio is used during retirement or death.
• 
  Purpose: Sacrificing ratio helps calculate goodwill to be compensated by the new partner; gaining ratio helps distribute goodwill of the retiring partner.
• 
  Partners involved: Sacrificing involves old partners giving up share; gaining involves remaining partners acquiring share.

Conclusion: Sacrificing and gaining ratios are essential tools in partnership accounting that ensure fair adjustment of profits and goodwill during changes in partnership structure.