Admission & Retirement of Partners: Accounting, Valuation & Adjustments

TAKEAWAYS:

• Admission of a partner requires adjusting capital accounts, revaluing assets/liabilities, and accounting for goodwill (if applicable) using the sacrificing ratio or new profit-sharing ratio.
• Retirement of a partner involves settling their capital, revaluing assets, and distributing goodwill among remaining partners based on their continuing ratio.
• Goodwill is either premium (paid by incoming partner) or sacrifice (shared by existing partners) and is recorded in the partners’ capital accounts or as an intangible asset.
• Revaluation of assets/liabilities ensures fair values are reflected before admission/retirement, with gains/losses shared per the old profit-sharing ratio.
• Adjustments for unrecorded assets, accrued income, or outstanding expenses are made before finalizing capital balances.
• Dissolution vs. retirement: Retirement is a change in partnership, not dissolution, so the business continues under a new agreement.

---

1. Admission of a Partner: Key Concepts & Process

When a new partner joins, the partnership agreement must be updated, and accounting adjustments are made to reflect the new equity structure.

1.1 Reasons for Admission

• Additional capital: To expand business operations (e.g., a Kathmandu retail shop opening a second branch).
• Specialized skills: The new partner brings expertise (e.g., a tech partner joining a traditional business to adopt digital payments).
• Legal requirements: Some businesses (e.g., law firms) require multiple partners for licensing.

1.2 Key Adjustments

Before admitting a new partner, the following must be adjusted:

1. Revaluation of assets and liabilities (to fair market value).
2. Treatment of goodwill (if the incoming partner pays a premium or existing partners sacrifice their share).
3. Adjustment of capital accounts (based on the new profit-sharing ratio).

1.3 Goodwill on Admission

Goodwill arises when the incoming partner pays more than their capital contribution. It can be treated in two ways:

Example: Suppose A and B share profits 3:2. C joins with a 1/5 share. The sacrificing ratio is calculated as:

• A’s sacrifice = $\frac{3}{5}-\frac{3}{8}=\frac{9}{40}$
• B’s sacrifice = $\frac{2}{5}-\frac{2}{8}=\frac{6}{40}$
• Total sacrifice = $\frac{15}{40}$, so C pays goodwill = $\frac{15}{40}\times \text{Total Capital}$.

1.4 Accounting Entries for Admission

The general journal entries for admitting a partner (assuming revaluation gains, goodwill premium, and capital contribution) are:

Worked Example: Admission in a Kathmandu Retail Shop Scenario:

• A and B run a retail shop in Kathmandu with the following balances:
  • Capital (A): ₹500,000
  • Capital (B): ₹300,000
  • Profit & Loss A/c: ₹200,000 (credit)
  • Furniture (undervalued by ₹50,000)
  • Outstanding Rent: ₹20,000
• C joins with a ₹400,000 capital contribution for a 1/4 share.
• New profit-sharing ratio: A:B:C = 3:2:1.

Steps:

1. Revalue assets/liabilities:

   • Furniture is now worth ₹200,000 (original ₹150,000).
   • Outstanding rent is an expense (₹20,000).
   • Revaluation gain = ₹50,000 (₹200,000 - ₹150,000) - ₹20,000 = ₹30,000.
   • This gain is shared by A and B in their old ratio (3:2):
     • A’s share = $\frac{3}{5}\times 30,000=₹18,000$
     • B’s share = $\frac{2}{5}\times 30,000=₹12,000$

2. Calculate goodwill:

   • Total capital after revaluation = ₹500,000 (A) + ₹300,000 (B) + ₹200,000 (P&L) + ₹30,000 (gain) = ₹1,030,000.
   • C’s capital (₹400,000) represents $\frac{1}{4}$ of the new capital.
   • Total new capital = $\frac{400,000}{1/4}=₹1,600,000$.
   • Goodwill = ₹1,600,000 - ₹1,030,000 = ₹570,000.
   • This goodwill is shared by A and B in their sacrificing ratio:
     • A sacrifices $\frac{3}{5}-\frac{3}{8}=\frac{9}{40}$
     • B sacrifices $\frac{2}{5}-\frac{2}{8}=\frac{6}{40}$
     • A’s goodwill share = $\frac{9}{15}\times 570,000=₹336,000$
     • B’s goodwill share = $\frac{6}{15}\times 570,000=₹234,000$

3. Journal Entries:

   | Date       | Particulars                     | L.F. | Amount (₹) | Dr.       | Cr.       |
   |------------|---------------------------------|------|------------|-----------|-----------|
   | 2023-10-01 | Furniture A/c                  |      | 50,000     |           |           |
   |            | To Revaluation A/c             |      |            | 50,000    |           |
   | 2023-10-01 | Revaluation A/c                 |      | 30,000     |           |           |
   |            | To Outstanding Rent A/c       |      | 20,000     |           |           |
   |            | To Profit & Loss A/c           |      | 10,000     |           |           |
   | 2023-10-01 | Revaluation A/c                 |      | 18,000     |           |           |
   |            | To A’s Capital A/c             |      |            |           | 18,000    |
   | 2023-10-01 | Revaluation A/c                 |      | 12,000     |           |           |
   |            | To B’s Capital A/c             |      |            |           | 12,000    |
   | 2023-10-01 | C’s Capital A/c                 |      | 400,000    |           |           |
   |            | To C’s Capital A/c (Goodwill)   |      | 570,000    |           |           |
   | 2023-10-01 | A’s Capital A/c                 |      | 336,000    |           |           |
   |            | B’s Capital A/c                 |      | 234,000    |           |           |
   |            | To Goodwill A/c                 |      |            | 570,000    |           |
   

4. Final Capital Accounts:

   | Partner | Old Capital | Revaluation Gain | Goodwill (Dr.) | New Capital |
   |---------|--------------|------------------|----------------|-------------|
   | A       | 500,000      | +18,000          | -336,000       | 182,000     |
   | B       | 300,000      | +12,000          | -234,000       | 88,000      |
   | C       | -            | -                | +400,000       | 400,000     |
   | **Total** | **800,000**  | **+30,000**      | **+570,000**   | **1,600,000** |
   

---

2. Retirement of a Partner: Key Concepts & Process

When a partner retires, their capital is settled, assets/liabilities are revalued, and goodwill (if any) is adjusted among remaining partners.

2.1 Reasons for Retirement

• Age/health: A partner may retire due to old age or health issues.
• Disagreements: Conflicts over business decisions (e.g., a partner wanting to switch to online sales while others prefer physical stores).
• Financial constraints: A partner may need to withdraw capital for personal use.

2.2 Key Adjustments

1. Revaluation of assets/liabilities (to fair market value).
2. Treatment of goodwill (if retiring partner’s share is more than their capital, goodwill is paid to them or adjusted among remaining partners).
3. Settlement of retiring partner’s capital (via bank, remaining partners, or cash).

2.3 Goodwill on Retirement

Goodwill on retirement is calculated based on the continuing partners’ ratio. If the retiring partner’s capital is less than their share of goodwill, the deficit is borne by the remaining partners.

Example: Suppose A, B, and C share profits 2:2:1. C retires, and the remaining ratio is A:B = 3:2.

• If C’s capital is ₹200,000 but their share of goodwill is ₹300,000, the remaining partners must pay the difference (₹100,000) in their continuing ratio (3:2).

2.4 Accounting Entries for Retirement

Worked Example: Retirement in a Pokhara Hotel Scenario:

• A, B, and C run a hotel in Pokhara with the following balances:
  • Capital (A): ₹600,000
  • Capital (B): ₹400,000
  • Capital (C): ₹300,000
  • Furniture (undervalued by ₹80,000)
  • Outstanding Salaries: ₹30,000
• C retires, and the remaining ratio is A:B = 3:2.
• C’s capital settlement: ₹350,000 (₹300,000 capital + ₹50,000 goodwill).

Steps:

1. Revalue assets/liabilities:

   • Furniture is now worth ₹300,000 (original ₹220,000).
   • Outstanding salaries are an expense (₹30,000).
   • Revaluation gain = ₹80,000 (₹300,000 - ₹220,000) - ₹30,000 = ₹50,000.
   • This gain is shared by A and B in their old ratio (2:2):
     • A’s share = $\frac{2}{4}\times 50,000=₹25,000$
     • B’s share = $\frac{2}{4}\times 50,000=₹25,000$

2. Calculate goodwill:

   • Total capital before revaluation = ₹600,000 (A) + ₹400,000 (B) + ₹300,000 (C) = ₹1,300,000.
   • After revaluation = ₹1,300,000 + ₹50,000 (gain) = ₹1,350,000.
   • C’s share of goodwill = $\frac{1}{4}\times \text{Total Goodwill}$.
   • Assume total goodwill is ₹200,000 (given in the problem or calculated separately).
   • C’s goodwill share = $\frac{1}{4}\times 200,000=₹50,000$.
   • Total settlement to C = ₹300,000 (capital) + ₹50,000 (goodwill) = ₹350,000.

3. Journal Entries:

   | Date       | Particulars                     | L.F. | Amount (₹) | Dr.       | Cr.       |
   |------------|---------------------------------|------|------------|-----------|-----------|
   | 2023-10-01 | Furniture A/c                  |      | 80,000     |           |           |
   |            | To Revaluation A/c             |      |            | 80,000    |           |
   | 2023-10-01 | Revaluation A/c                 |      | 50,000     |           |           |
   |            | To Outstanding Salaries A/c    |      | 30,000     |           |           |
   |            | To Profit & Loss A/c           |      | 20,000     |           |           |
   | 2023-10-01 | Revaluation A/c                 |      | 25,000     |           |           |
   |            | To A’s Capital A/c             |      |            |           | 25,000    |
   | 2023-10-01 | Revaluation A/c                 |      | 25,000     |           |           |
   |            | To B’s Capital A/c             |      |            |           | 25,000    |
   | 2023-10-01 | C’s Capital A/c                 |      | 350,000    |           |           |
   |            | To Bank A/c                    |      |            | 350,000    |           |
   | 2023-10-01 | Goodwill A/c                   |      | 50,000     |           |           |
   |            | To A’s Capital A/c             |      | 30,000     |           |           |
   |            | To B’s Capital A/c             |      | 20,000     |           |           |
   

4. Final Capital Accounts:

   | Partner | Old Capital | Revaluation Gain | Goodwill (Cr.) | New Capital |
   |---------|--------------|------------------|----------------|-------------|
   | A       | 600,000      | +25,000          | -30,000        | 595,000     |
   | B       | 400,000      | +25,000          | -20,000        | 405,000     |
   | **Total** | **1,000,000** | **+50,000**      | **-50,000**    | **1,000,000** |
   

---

## In the Real World

1. eSewa (Nepal):
   • When eSewa expanded its team to include fintech experts, new partners were admitted to bring in digital payment expertise. The admission involved capital adjustments and goodwill valuation based on the company’s market reputation.

2. Khalti (Nepal):

   • During Khalti’s rapid growth, some early partners retired to pursue other ventures. Their retirement required revaluation of intangible assets (like customer trust and brand value) and goodwill adjustments among remaining stakeholders.

3. Daraz Nepal (Alibaba Group):

   • When Daraz Nepal hired new logistics partners to expand delivery networks, the admission process involved capital contributions from new partners and goodwill calculations based on Daraz’s existing customer base and infrastructure.

4. Nepal Rastra Bank (NRB) Regulations:

   • When a partner in a small finance company retires, NRB requires full revaluation of assets (like loans and securities) and transparent goodwill treatment to ensure fair capital allocation among remaining partners.

---

## Exam Tip

1. Always show calculations:

   • Examiners expect step-by-step working for goodwill, sacrificing ratio, and capital adjustments. Skipping steps = lost marks.

2. Distinguish between admission and retirement:

   • Admission: Use sacrificing ratio for goodwill.
   • Retirement: Use continuing ratio for goodwill adjustment.

3. Revaluation is critical:

   • Never ignore undervalued assets or outstanding liabilities. Always adjust them before finalizing capital accounts.

4. Journal entries must balance:

   • Every debit must have a corresponding credit. Use T-accounts to verify balances.

5. Common mistakes to avoid:

   • Mixing up old ratio and new ratio for sharing gains/losses.
   • Forgetting to close the retiring partner’s account after settlement.
   • Incorrectly calculating goodwill (e.g., using wrong ratios).

6. Practical scenarios:

   • Expect questions on real businesses (e.g., a Kathmandu restaurant, a Pokhara hotel). Relate your answers to Nepali contexts (e.g., NPR transactions, local asset valuations).

---