In a partnership account, the Sacrificing Ratio and the Gaining Ratio decide how profits and shares are rearranged in case a partner is added or subtracted from the firm. In this way, it ensures compensation to all concerned partners with a proper distribution of financial stability within the partnership. When a new partner is admitted the existing partners sacrifice some fraction of their profits in favor of the new partner. This sacrifice is calculated with the help of sacrificing ratio. In case an existing partner retires or leaves the business, the remaining partners share the profit, which is acquired with the help of the earning ratio.
Sacrifice ratio and gaining ratio are the two significant terms that the Class 12 Accountancy students must understand the adjust of profit sharing in partnership problems. Let us see the definitions, formulas, differences, and practical applications of both. This article will briefly discuss the difference between sacrifice and gaining ratio.
What is the Sacrificing Ratio?
Sacrificing ratio Sacrificing ratio is a percentage in which the existing partners agree to surrender a part of their share in profit when new partners join their firm. Being a constant summation of firm profit, the distribution portion to any new partner shall have to come out from what portion of total profits the current partners are taking with them.
This is significant while calculating goodwill compensation since the new partner needs to compensate the old partners for sharing their profits. The compensation amount is mostly calculated based on the profit being lost.
Sacrifice Ratio Formula
Sacrificing Ratio = Old Profit Sharing Ratio − New Profit Sharing Ratio
This formula shows how much profit each of the old partners is losing for the new partner.
Explanation of Sacrificing Ratio in Detail
Occurs in the case of admission of a new partner: At the time of admission of a new partner, old partners need to compromise over the profit-sharing proportion. With the help of a sacrificing ratio, this compromise may be possible.
- Goodwill Given: The old partners usually get paid off by the new partner with some goodwill, because they are surrendering some portion.
- Always Results in Decrease in Profit Percentage Share: A positive sign in the sacrificing ratio formula means that the partner is losing some portion of previous profits.
- Helps in Ensuring Equity Among Partners: Without this calculation, there may be a fight over how much each one of the partners should contribute to the new partner's share.
Example of Sacrificing Ratio
Let us consider the three partnered partnership firms A, B, and C. The Profit-Sharing Ratio is 4:3:2. Admission of new partner D occurs. Thus, the New Profit Sharing is 3:3:2:2. So, the Sacrificing Ratio is as follows:
|
Partner
|
Old Ratio
|
New Ratio
|
Sacrificing Ratio
|
|
A
|
4/9
|
3/10
|
4/9-3/10
|
|
B
|
3/9
|
3/10
|
3/9-3/10
|
|
C
|
2/9
|
2/10
|
2/9-2/10
|
Since A, B, and C have a positive sacrificing ratio, they have given up a portion of their profits in favour of the new partner D.
What is the Gaining Ratio?
The gaining ratio is that share in which, when any one of the present partners retires, resigns, or dies, balance partners get a fraction of the profit. Because now the share of profit the exiting partner got would not be there with him any more. Instead, the existing partners have their share divided into the shares each one agreed on with other fellows.
Just like the sacrificing ratio helps in calculating goodwill compensation for new partners, the gaining ratio helps determine the goodwill amount that retiring partners must receive from the gaining partners.
Gaining Ratio Formula
Gaining Ratio=New Profit Sharing Ratio−Old Profit Sharing Ratio
This formula helps calculate how much additional profit each remaining partner will receive after a partner leaves.
Detailed Explanation of Gaining Ratio
- Occurs When a Partner Retires: At this time, the profits he had in that specific business are shared with the partners who are remaining in the firm.
- Utilized in Goodwill Revaluation: The retiring partner may have an amount compensated to him by the winning partners according to the amount of profit acquired.
- Always Ensures Growth in Profit Sharing: A plus sign in the gaining ratio formula indicates the positive value that any partner is enjoying an extra amount of profit distribution.
- Smooth Succession: Calculations of gaining ratios ensure that profits shared by one partner leaving ensure no dispute of profit sharing upon the exit
Example of Gaining Ratio
Suppose partners X, Y, and Z share profits in the ratio 5:3:2. If X retires and the new profit-sharing ratio between Y and Z becomes 3:2, the gaining ratio is calculated in the following process:
|
Partner
|
Old Ratio
|
New Ratio
|
Gaining Ratio
|
|
Y
|
3/10
|
3/5
|
3/5 -3/10= 3/10
|
|
Z
|
2/10
|
2/5
|
2/5 -2/10 = 2/10
|
Difference Between Sacrificing Ratio and Gaining Ratio
The main difference between the sacrifice ratio and the gaining ratio is that the sacrificing ratio is used when a new partner enters while the gaining ratio is used when a partner exits. Let's discuss this in detail below:
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Feature
|
Sacrificing Ratio
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Gaining Ratio
|
|
Definition
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The proportion of profit sacrificed by existing partners when a new partner is admitted.
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The proportion of profit gained by remaining partners when a partner retires.
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Purpose
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Used to calculate how much profit share existing partners must give up.
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Used to determine how much profit share remaining partners will gain.
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|
Formula
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Old Ratio−New Ratio
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New Ratio - Old Ratio
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Effect on Partners
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Existing partners lose some of their profit share.
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The remaining partners gain the profit share of the outgoing partner.
|
|
Application
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Helps determine goodwill compensation paid by the new partner. |
Helps determine goodwill compensation paid to the outgoing partner.
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Why is The Topic Important for Class 12 Students?
- It is very important for students who are studying Class 12 Accountancy because:
- It is one of the major topics in board exams and commerce studies.
- It is widely used in practical accounting for partnerships.
- It helps students master goodwill adjustments and profit-sharing calculations.
Students who require extra knowledge on the difference between sacrificing ratio and gaining ratio class 12 can join Online Tuition Classes. The teachers will guide them step by step and solve practice questions to make them stronger in partnership accounting.
Conclusion
The difference therefore is that it depends on the purpose either to be used as a sacrifice ratio or gaining ratio; where new entry becomes a sacrifice ratio; whereas the leaving party becomes a gaining ratio. It helps the profitable ratios for effective distribution so as not to harm the transition processes of partnership firms.
With the sacrifice ratio formula and the gaining ratio formula, the Class 12 students will master both exams and real-life accounting. For further help, the students can refer to Online Tuition Classes for deeper insight and problem-solving skills.