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Question

A and B share profits in the ratio of 3:4. They admitted C for 1/5th share in future profits with a guarantee that his share of profits shall be at least ₹30,000. In the above case, any deficiency to C will be borne by A and B in the ratio of:

The correct answer is

3:4

Understanding Partner's Profit Sharing and Guarantee

This question deals with the concepts of profit sharing among partners, the admission of a new partner, and a guarantee of minimum profit provided to the new partner.

We are given a partnership with two initial partners, A and B, sharing profits in a specific ratio. A new partner, C, is admitted with a fixed share of future profits and a guarantee regarding the minimum amount of profit they will receive.

Analyzing the Partnership Scenario

  • Initial Partners: A and B
  • Old Profit Sharing Ratio (A:B): $3:4$
  • New Partner: C
  • C's Share in Future Profits: $1/5$th
  • C's Guaranteed Minimum Profit: ₹30,000

The question asks how any deficiency in C's guaranteed profit share will be borne by A and B. A deficiency arises if C's $1/5$th share of the actual profit of the firm turns out to be less than the guaranteed amount of ₹30,000.

How Deficiency in Guaranteed Profit is Handled

When a new partner is admitted with a guarantee of minimum profit, and the partnership deed is silent on how any deficiency will be borne, it is typically borne by the old partners in their old profit-sharing ratio. If the deed specifies that only one partner or multiple partners in a specific ratio will bear the deficiency, then that specific agreement is followed.

In this question, there is no specific mention that the deficiency will be borne differently. Therefore, we assume the general rule applies.

Determining Who Bears the Deficiency

The deficiency in C's guaranteed profit will be borne by the existing partners before C's admission, which are A and B.

Determining the Ratio for Bearing Deficiency

According to the general rule, the deficiency will be borne by A and B in their old profit sharing ratio. The old profit sharing ratio between A and B is given as $3:4$.

Therefore, any amount needed to bring C's share up to the guaranteed ₹30,000 will be deducted from A's and B's respective shares of profit in the ratio $3:4$.

Conclusion on Deficiency Ratio

Based on the standard accounting treatment for partner's guaranteed profit when the agreement is silent, the deficiency in C's share will be borne by A and B in their old profit sharing ratio of $3:4$.

Revision Table: Key Partnership Concepts

Concept Explanation
Profit Sharing Ratio The ratio in which partners agree to distribute the firm's profits or losses.
Admission of a Partner When a new person joins an existing partnership firm. Requires agreement from existing partners.
Guarantee of Profit An assurance given to a partner (new or old) that their share of profit will not be less than a specified minimum amount.
Deficiency The difference between the guaranteed minimum profit and the actual share of profit (if the actual share is less than the guarantee).
Bearing Deficiency How the shortfall (deficiency) is covered, usually by other partners in a specified ratio or the old profit sharing ratio.

Additional Information: Partner Guarantee Scenarios

Understanding partner guarantees is important in partnership accounting. Here are a few related points:

  • Guarantee by the Firm: When the guarantee is given by the firm, any deficiency is borne by all partners other than the one guaranteed, in their respective profit sharing ratio (or the ratio they agree upon for this purpose). In this question, the guarantee to C by 'A and B' implies the firm is giving the guarantee, and the remaining partners (A and B) will bear it.
  • Guarantee by One Partner: Sometimes, only one specific partner guarantees a minimum profit to another partner. In such a case, the entire deficiency is borne solely by the guaranteeing partner, and it is deducted from their share of profit.
  • Guarantee by Some Partners in a Specific Ratio: The partnership deed might specify that a guarantee is given by certain partners, and any deficiency will be borne by them in a ratio other than their old profit sharing ratio. This specific ratio mentioned in the deed overrides the general rule.
  • Calculation of Deficiency: Deficiency = Guaranteed Minimum Profit - Actual Share of Profit (based on firm's total profit). If the actual share is greater than the guarantee, there is no deficiency.
  • Impact on Profit Distribution: The total profit of the firm is first calculated. Then, C's share is calculated based on the firm's profit. If C's calculated share is less than ₹30,000, the deficiency is calculated. This deficiency is then debited to the accounts of the partners bearing the deficiency (A and B in 3:4 ratio here) and credited to C's account to bring their share up to ₹30,000. The remaining profit is distributed among A and B in their remaining profit sharing ratio (after accounting for C's share and the deficiency).
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Important Questions from Reconstitution of a Partnership : Admission of a Partner

  1. Anita and Bindu are partners in a firm sharing profits in the ratio of 3:2. They admitted Meria as a new partner for 1/4th share. The new profit-sharing ratio between Anita and Bindu will be 2:1. What will be their sacrificing ratio?

  2. Where a new partner brings his share of capital and goodwill in cash. Identify the correct treatment from the following options:

  3. M and N are partners sharing profit in the ratio of 3:1. They admit O as a new partner on 1st April, 2022. O brings ₹40,000 as his share of premium and the new profit-sharing ratio is 2:2:1. Identify the correct option related to treatment of Goodwill.

  4. A and B are partners in a partnership firm, sharing profits in a 3:2 ratio. They agreed to admit a new partner C. A sacrifices 2/5 from his share and B sacrifices 1/5 from his share. Calculate the new profit-sharing ratio between A, B, and C.

  5. At the time of Revaluation of Assets and Liabilities during the admission of a partner:

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