Change in Profit Sharing Ratio (PSR)

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Meaning

A change in the PSR is when existing partners decide to alter their agreed-upon ratio of profit and loss distribution without any partner joining or leaving.

Simple Explanation

If Partner A and B were sharing profits 1:1 (50% each) and they decide to change it to 2:1 (A gets 66.6% and B gets 33.3%), the partnership is reconstituted. Since A is getting more, B must have "sacrificed" a part of his share.

Key Points

  • Leads to the calculation of Sacrificing and Gaining ratios.
  • Existing reserves and accumulated profits must be distributed in the old ratio.
  • Goodwill must be adjusted to compensate the sacrificing partner.

Examples

  • Scenario A: Rahul and Rohit share profits 1:1. They decide Rahul should get 60% because he manages the shop. Rohitโ€™s share drops to 40%.
  • Scenario B: Three partners share 3:2:1. They realize the junior partner is working harder and change it to 2:2:2.

๐Ÿ’ก Real-Life Use: Consider a tech startup where one founder brings in massive personal investment. To reward this risk, they change the PSR to 70-30, ensuring the investor-partner gets a higher return without shutting down the company.

Admission of a Partner

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Meaning

Admission is the process of accepting a new person into the partnership firm, resulting in a new partnership deed.

Simple Explanation

When a new person joins, they "buy" their way into the business by bringing in capital and paying for the reputation (Goodwill) the old partners built.

Key Components

  • Adjustments for Goodwill: The new partner pays a "Premium for Goodwill" shared by old partners in their Sacrificing Ratio.
  • Revaluation of Assets and Liabilities: A Revaluation Account ensures the new partner doesn't benefit from price hikes that happened before they joined.
  • Adjustment of Capital: Aligning capitals in proportion to the new profit-sharing ratio.

Examples

  • Goodwill Example: A and B have a firm. C joins. The firm's reputation is valued at $10,000. C brings $3,000 as his share of goodwill to compensate A and B.
  • Revaluation Example: Land booked at $50,000 is now worth $60,000. This $10,000 profit belongs only to original partners A and B.

๐Ÿ’ก Real-Life Use: A law firm admits an Intellectual Property (IP) specialist. The new partner brings fresh capital and pays a premium for the firm's existing prestige.

Retirement and Death of a Partner

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Meaning

Retirement is the voluntary withdrawal of a partner. Death is the involuntary termination of a partner's interest in the firm.

Simple Explanation

When a partner leaves, they are entitled to their share of capital, reserves, and current profit. The remaining partners "gain" the share of the person who left.

Key Adjustments

  • Gaining Ratio: Used to compensate the retiring/deceased partner for their share of goodwill.
  • Amount Due: Total balance = Capital + Share of Goodwill + Share of Reserves + Profit up to date of exit.
  • Executor's Account: In case of death, money is transferred to the legal heir (Executor).

Examples

  • Retirement: X, Y, and Z are partners. Y retires. X and Z must pay Y his share of the business's current value.
  • Death: Partner Z dies mid-year. The firm calculates Z's profit until the date of death and pays it to Z's son (the executor).

๐Ÿ’ก Real-Life Use: In a family grocery business, the eldest brother retires. The younger brothers calculate the current value of the shop and pay him his capital plus goodwill for building the customer base.

Numerical Illustration

๐Ÿ“ Step-by-Step Problem

Problem: A and B are partners sharing profits in the ratio 3:2. They admit C for 1/5th share. C brings $50,000 as capital and $10,000 as premium for goodwill. The assets are revalued: Land increases by $5,000 and Furniture decreases by $2,000.

Step-by-Step Solution:
1. Calculate New Profit Sharing Ratio:
   - Total share = 1. New partner C = 1/5.
   - Remaining share = 1 - 1/5 = 4/5.
   - A's new share = 3/5 ร— 4/5 = 12/25
   - B's new share = 2/5 ร— 4/5 = 8/25
   - C's share = 1/5 (or 5/25)
   - New Ratio = 12:8:5

2. Revaluation Profit/Loss:
   - Gain on Land: +$5,000
   - Loss on Furniture: -$2,000
   - Net Profit = $3,000.
   - Distribution (Old Ratio 3:2):
     A gets: 3,000 ร— 3/5 = $1,800
     B gets: 3,000 ร— 2/5 = $1,200

3. Goodwill Distribution:
   - C's Premium = $10,000.
   - Shared by A and B in sacrificing ratio (3:2):
     A gets: $6,000
     B gets: $4,000
          

Formulas & Equations

๐Ÿงฎ Essential Formulae
  • Sacrificing Ratio = Old Ratio - New Ratio
  • Gaining Ratio = New Ratio - Old Ratio
  • New Partner's Goodwill = Total Firm Goodwill ร— New Partner's Share
  • Amount Due to Retiring Partner = Capital Balance + Share of Reserves + Share of Revaluation Profit + Share of Goodwill

Admission vs. Retirement

๐Ÿ“Š Comparison View
Feature Admission of a Partner Retirement of a Partner
Effect on Ratio New ratio calculated; old partners sacrifice. New ratio calculated; remaining partners gain.
Goodwill New partner pays premium to old partners. Remaining partners pay share to retiring partner.
Capital New capital is brought into the firm. Capital is paid out to the leaving partner.
Revaluation Protects old partners from new losses. Ensures retiring partner gets current value.
Firm Status Firm expands. Firm continues with fewer people.

Modern Tools & Case Study

๐Ÿš€ Practical Application

Industry Tools

  • TallyPrime / QuickBooks: Automatic ledger postings for revaluation.
  • Zoho Books: Real-time tracking of Partner Equity.
  • Cloud Accounting: Instant impact analysis of ratio changes.

Case Study: "The Artisan Roast Coffee Co."

The Setup: Anita and Ben start with 1:1 ratio. Reserve: $20,000. Building: $100,000.

The Admission: Chloe joins (1/4 share), brings $40,000 capital and $15,000 goodwill. Building revalued to $130,000. Anita and Ben share this $30,000 gain.

The Retirement: Ben retires. Anita and Chloe calculate the Gaining Ratio. Since cash is low, Ben's due amount is transferred to "Ben's Loan Account" at 6% interest.

Multiple Choice Questions

๐Ÿ“ Practice MCQs
  1. Reconstitution of partnership occurs when:
    a) A partner is admitted, b) A partner retires, c) PSR changes, d) All of the above
    Ans: d
  2. Sacrificing Ratio is calculated as:
    a) New - Old, b) Old - New, c) Old + New, d) None of these
    Ans: b
  3. Premium for Goodwill brought by a new partner is shared by old partners in:
    a) Old Ratio, b) New Ratio, c) Sacrificing Ratio, d) Equal Ratio
    Ans: c
  4. Revaluation Account is a:
    a) Real Account, b) Personal Account, c) Nominal Account, d) Asset Account
    Ans: c
  5. If a partner dies, his share of profit till the date of death is credited to:
    a) All partners, b) Remaining partners, c) Deceased partner's capital a/c, d) None of these
    Ans: c
  6. Gaining Ratio is used during:
    a) Admission, b) Retirement, c) Change in PSR (for the one gaining), d) Both b and c
    Ans: d
  7. At the time of admission, General Reserve is distributed in:
    a) Old Ratio, b) New Ratio, c) Sacrificing Ratio, d) Equal Ratio
    Ans: a
  8. The account opened to pay a deceased partner's legal heir is:
    a) Capital Account, b) Loan Account, c) Executor's Account, d) Reserve Account
    Ans: c
  9. A decrease in the value of an asset during revaluation is:
    a) Credited to Revaluation A/c, b) Debited to Revaluation A/c, c) Ignored, d) Credited to Capital A/c
    Ans: b
  10. When a partner retires, the remaining partners' capital usually:
    a) Decreases, b) Increases (due to gaining share), c) Stays the same, d) Becomes zero
    Ans: b

Exam-Oriented Questions with Answers

๐Ÿ“Š Important Questions
  1. Q: What is the difference between Sacrificing Ratio and Gaining Ratio?
    Ans: Sacrificing Ratio is used during admission when old partners give up a portion of their share ($\text{Old} - \text{New}$). Gaining Ratio is used during retirement/death when remaining partners acquire the share of the leaving partner ($\text{New} - \text{Old}$).
  2. Q: Why is a Revaluation Account prepared?
    Ans: To find the net profit or loss from changes in asset/liability values, ensuring gains/losses occurring *before* reconstitution are shared only by partners present then.
  3. Q: How is Goodwill treatment different in Admission vs. Retirement?
    Ans: In Admission, the new partner *pays* goodwill to old partners. In Retirement, remaining partners *pay* the retiring partner.
  4. Q: What happens to the General Reserve at the time of reconstitution?
    Ans: They are transferred to old partners' capital accounts in their old profit-sharing ratio.
  5. Q: Explain the accounting treatment for the death of a partner.
    Ans: Total balance (Capital + Reserves + Revaluation profit + Profit till death) is transferred to the Executor's Account and paid with interest if delayed.
  6. Q: What is the "Premium for Goodwill" method?
    Ans: When a new partner brings their share of goodwill in cash, distributed among sacrificing partners in their sacrificing ratio.
  7. Q: Can a partnership be reconstituted without changing the number of partners?
    Ans: Yes, through a change in the Profit Sharing Ratio (PSR) among existing partners.
  8. Q: What is the purpose of adjusting capitals?
    Ans: To align capital balances with new PSRs, ensuring fairness based on shared risk and reward.
  9. Q: What is the entry for a decrease in the value of an asset during revaluation?
    Ans: Debit Revaluation Account, Credit Asset Account.
  10. Q: What is the impact of a partner's retirement on the firm's balance sheet?
    Ans: Total assets may decrease (if paid in cash), and the liability side changes as one capital account closes and a loan account may open.

Revision Notes & Memory Tricks

โšก Quick Revision
  • PSR Change: Redistribution of profits without changing partners.
  • Admission: New capital + Goodwill premium + Revaluation.
  • Retirement: Settlement of dues + Gaining ratio adjustment.
  • Death: Transfer to Executor's account.

๐Ÿง  Mnemonics:

  • Ratios: Sacrifice = Subtract New from Old (O-N) | Gain = Get New minus Old (N-O).
  • Revaluation: Good News (Asset $\uparrow$ or Liability $\downarrow$) $\rightarrow$ Credit | Bad News (Asset $\downarrow$ or Liability $\uparrow$) $\rightarrow$ Debit.
  • Admission Sequence: "C-G-R" $\rightarrow$ Capital $\rightarrow$ Goodwill $\rightarrow$ Revaluation.