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Reconstitution of a Partnership Firm – Admission of a Partner – Class 12 Accountancy Chapter 2 Notes & NCERT PDF

Class 12AccountancyChapter 2NCERT book: Accountancy: Partnership Accounts - Class 12

Notes and a simple summary of Chapter 2 of the NCERT Class 12 Accountancy book, with the official chapter PDF, flashcards, an MCQ quiz and an AI tutor for your doubts.

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Chapter 2: Reconstitution of a Partnership Firm – Admission of a Partner

Introduction

A partnership is an agreement, so any change in that agreement reconstitutes the firm: a new agreement replaces the old, though the firm continues. This chapter deals with the most common reconstitution, the admission of a new partner. A new partner brings capital or skills but takes part of future profits. Accountants must therefore settle old matters (goodwill, reserves, revaluation of assets and liabilities) so that the old partners are compensated fairly and the new partner neither gains nor loses from events before his entry.

Key Concepts

2.1 Modes of Reconstitution

A firm is reconstituted by: (a) admission of a new partner, (b) change in profit sharing ratio among existing partners, (c) retirement of a partner, (d) death of a partner, and (e) amalgamation of two firms.

2.2 Admission of a New Partner

Under the Partnership Act a new partner can be admitted only with the consent of all existing partners. He acquires two rights: a share in the assets and a share in future profits. On admission the following adjustments are needed: new profit sharing ratio, sacrificing ratio, goodwill, revaluation of assets and reassessment of liabilities, distribution of accumulated profits (reserves) and losses, and adjustment of capitals.

2.3 New Profit Sharing Ratio

New share of an old partner = Old share − Share surrendered to the new partner. If nothing is stated, the new partner is assumed to take his share from the old partners in their old ratio, so the old partners' ratio among themselves stays the same.

2.4 Sacrificing Ratio

Sacrificing ratio = Old share − New share. It shows the proportion in which old partners give up profit, and it is used to share the new partner's premium for goodwill. When the new partner takes his share in the old ratio, sacrificing ratio = old ratio.

2.5 Goodwill

Goodwill is the value of the reputation of a firm which enables it to earn more than normal profits. It is an intangible (not fictitious) asset. Factors affecting it: nature of business, location, efficiency of management, market situation, special advantages (licences, cheap power, import quotas) and business connections.

The need to value goodwill arises when the profit sharing ratio changes, a partner is admitted, retires or dies, or the firm is dissolved or sold.

Methods of valuation:

  • Average profits method – Goodwill = Average profit × Number of years' purchase. A weighted average may be used when profits show a trend.
  • Super profits method – Normal profit = Capital employed × Normal rate ÷ 100; Super profit = Average actual profit − Normal profit; Goodwill = Super profit × Number of years' purchase.
  • Capitalisation method – (i) of average profits: Goodwill = Average profit × 100 ÷ Normal rate − Net assets (capital employed); (ii) of super profits: Goodwill = Super profit × 100 ÷ Normal rate.
  • Treatment of goodwill on admission (AS 26: only purchased goodwill is recorded):

  • Premium brought in cash: Bank A/c Dr / To Premium for Goodwill A/c; then Premium for Goodwill A/c Dr / To Sacrificing Partners' Capital A/cs (sacrificing ratio). If the old partners withdraw it, Their Capital A/cs Dr / To Bank A/c.
  • Premium not brought (fully or partly): New Partner's Current A/c Dr / To Sacrificing Partners' Capital A/cs (for the amount not brought in).
  • Existing goodwill in books is written off among old partners in the old ratio: Old Partners' Capital A/cs Dr / To Goodwill A/c.
  • Hidden goodwill: when goodwill is not given, it is inferred from the capital brought in and the share acquired.
  • 2.6 Adjustment for Accumulated Profits and Losses

    General reserve, balance of P&L (credit) and workmen compensation reserve belong to the old partners and are credited to them in the old ratio. Accumulated losses (debit balance of P&L, deferred revenue expenditure) are debited to them in the old ratio.

    2.7 Revaluation of Assets and Reassessment of Liabilities

    Changes in values are recorded through a Revaluation Account (Profit and Loss Adjustment Account). Increase in assets and decrease in liabilities are credited; decrease in assets and increase in liabilities (and unrecorded liabilities) are debited. The profit or loss on revaluation is transferred to the old partners' capital accounts in the old ratio. Assets and liabilities then appear at revised values in the new Balance Sheet.

    2.8 Adjustment of Capitals

    Capitals may be adjusted to be proportionate to the new ratio. Usually the new partner's capital is the base: Total capital = New partner's capital ÷ his share. Old partners' required capitals are compared with their adjusted capitals; a shortage is brought in cash and a surplus withdrawn (or transferred to current accounts). Alternatively, the new partner's capital can be found from the old partners' combined adjusted capital.

    2.9 Change in Profit Sharing Ratio among Existing Partners

    Without any admission, partners may change their ratio. The gaining partner compensates the sacrificing partner for goodwill: Gaining Partner's Capital A/c Dr / To Sacrificing Partner's Capital A/c. Reserves and revaluation are handled in the old ratio, as on admission.

    Worked Examples

    Example 1 – New ratio (Illustrations 1–3). Anil and Vishal (3:2) admit Sumit for 1/5 taken in the old ratio: Anil 3/5 × 4/5 = 12/25, Vishal 2/5 × 4/5 = 8/25, Sumit 5/25 → 12:8:5. If Dinesh takes 1/5 equally from Akshay and Bharati (3:2): 6/10 − 1/10 = 5/10 and 4/10 − 1/10 = 3/10 → 5:3:2. If Jyoti takes 2/10 from Anshu and 1/10 from Nitu (3:2): 4:3:3.

    Example 2 – Sacrificing ratio (Illustration 6). Rohit and Mohit (5:3), new ratio 4:2:1 with Bijoy. Rohit 5/8 − 4/7 = 3/56; Mohit 3/8 − 2/7 = 5/56 → sacrificing ratio 3:5 (not the old ratio).

    Example 3 – Goodwill valuation.

  • Average profits (Illustration 9): profits 4,00,000; 3,98,000; 4,50,000; 4,45,000; 5,00,000 → average ₹4,38,600 × 4 years = ₹17,54,400.
  • Super profits (Illustration 13): capital ₹1,00,000 @ 15% = 15,000 + partners' salary 12,000 = normal profit ₹27,000; average profit ₹36,000; super profit ₹9,000 × 2 = ₹18,000.
  • Capitalisation (Illustration 14): average profit 1,00,000 × 100 ÷ 10 = 10,00,000 − net assets 8,20,000 = ₹1,80,000; the same as super profit 18,000 × 100 ÷ 10.
  • Example 4 – Premium for goodwill (Illustration 16). Sunil and Dalip (5:3) admit Sachin for 1/5; he brings ₹20,000 capital and ₹4,000 goodwill.

    Bank A/c Dr ₹24,000

    To Sachin's Capital A/c ₹20,000

    To Premium for Goodwill A/c ₹4,000

    Premium for Goodwill A/c Dr ₹4,000

    To Sunil's Capital A/c ₹2,500

    To Dalip's Capital A/c ₹1,500

    Example 5 – Hidden goodwill. A and B (equal, capitals ₹45,000 each) admit C for 1/3 with ₹60,000. Implied total capital 60,000 × 3 = 1,80,000; actual 1,50,000; goodwill ₹30,000; C's share ₹10,000.

    C's Current A/c Dr ₹10,000

    To A's Capital A/c ₹5,000

    To B's Capital A/c ₹5,000

    In Illustration 21 (Hem 80,000, Nem 50,000, 3:2; Sam brings 60,000 for 1/5) goodwill = 3,00,000 − 1,90,000 = ₹1,10,000; Sam's share ₹22,000, credited Hem ₹13,200 and Nem ₹8,800.

    Example 6 – Reserves and capital adjustment. Rajinder and Surinder (4:1) have general reserve ₹20,000 and a P&L debit balance ₹10,000 (Illustration 22).

    General Reserve A/c Dr ₹20,000

    To Rajinder's Capital A/c ₹16,000

    To Surinder's Capital A/c ₹4,000

    Rajinder's Capital A/c Dr ₹8,000

    Surinder's Capital A/c Dr ₹2,000

    To Profit and Loss A/c ₹10,000

    In Illustration 25, A and B (2:1) admit C for 1/4 with ₹20,000: new ratio 2:1:1; total capital 80,000; A needs 40,000 (has 45,000, withdraws ₹5,000) and B needs 20,000 (has 15,000, brings ₹5,000).

    Key-Facts Sheet

  • New partner needs consent of all partners; gets a share in assets and future profits.
  • Sacrificing ratio = old share − new share; premium for goodwill goes in this ratio.
  • Reserves, accumulated profits/losses and revaluation results go to old partners in the old ratio.
  • Goodwill = average profit × years' purchase; super profit × years' purchase; or capitalised value − net assets.
  • AS 26: self-generated goodwill is not recorded; existing goodwill is written off in the old ratio.
  • Hidden goodwill = capital implied by new partner's contribution − actual total capital.
  • Board Exam Focus

    Common questions: new and sacrificing ratio (3 marks), goodwill valuation by the three methods (3–4 marks), journal entries for premium (4 marks) and a full question with revaluation account, capital accounts and new Balance Sheet (6–8 marks).

    Answer outline 1 – "Distinguish sacrificing ratio from new ratio." Meaning; formula (old − new vs old − sacrifice); purpose (sharing goodwill vs sharing future profits); who is affected (old partners only vs all partners).

    Answer outline 2 – "Full admission question." Revaluation A/c → transfer to old partners in old ratio → reserves in old ratio → goodwill premium in sacrificing ratio → capital accounts → capital adjustment (bring in/withdraw) → Bank balance → new Balance Sheet.

    Answer outline 3 – "What is goodwill? State factors affecting it." Definition as the reputation value enabling above-normal profits; list five factors with a one-line example each; note it is intangible, not fictitious.

    Key Terms

  • Reconstitution – पुनर्गठन
  • Admission of a Partner – साझेदार का प्रवेश
  • New Profit Sharing Ratio – नया लाभ विभाजन अनुपात
  • Sacrificing Ratio – त्याग अनुपात
  • Goodwill – ख्याति
  • Super Profit – अधिलाभ
  • Normal Profit – सामान्य लाभ
  • Capitalisation – पूँजीकरण
  • Premium for Goodwill – ख्याति हेतु प्रीमियम
  • Hidden Goodwill – छिपी हुई ख्याति
  • Revaluation Account – पुनर्मूल्यांकन खाता
  • General Reserve – सामान्य संचय
  • Accumulated Profits – संचित लाभ
  • Years' Purchase – वर्षों का क्रय
  • Capital Adjustment – पूँजी समायोजन
  • Common Mistakes

  • Distributing premium for goodwill in the old ratio when the sacrificing ratio is different.
  • Crediting the new partner with a share of reserves or revaluation profit.
  • Raising goodwill in the books for self-generated goodwill, against AS 26.
  • Forgetting to add partners' remuneration when computing normal profit in super profit questions.
  • In hidden goodwill, crediting the full goodwill instead of only the new partner's share.
  • Debiting the new partner's Capital A/c instead of his Current A/c for goodwill not brought in.
  • 💡 Key Learning Points

    • ✓Any change in the partnership agreement reconstitutes the firm; admission gives the new partner a share in assets and future profits.
    • ✓New ratio = old share − share surrendered; sacrificing ratio = old share − new share, used for sharing goodwill premium.
    • ✓Goodwill is valued by average profits, super profits and capitalisation methods; only purchased goodwill is recorded (AS 26).
    • ✓Reserves, accumulated profits or losses and revaluation profit or loss belong to old partners in the old ratio.
    • ✓Capitals can be made proportionate to the new ratio by bringing in shortages or withdrawing surpluses.

    👨‍🏫 Teaching Tips

    • →Use a pizza-slice model to show how a newcomer's share is carved out of the old partners' shares and why sacrifice differs from the old ratio.
    • →Always write fractions over a common denominator before comparing old and new shares; drill with Rohit–Mohit (3/56 and 5/56).
    • →Teach goodwill with a local example (a famous sweet shop) before the formulas, then compare all three methods on one data set.
    • →Show that capitalisation of super profit and capitalisation of average profit give the same answer (₹1,80,000 in Illustration 14).
    • →Make a fixed sequence chart for full admission questions and paste it in notebooks.
    • →Use the hidden goodwill case (A, B, C) to show how goodwill is inferred from capital and share.
    • →Let students present journal entries aloud with the narration, the way examiners expect.

    📋 Assessment Questions

    1. Can the student compute the new ratio and sacrificing ratio for different ways of acquiring the share?
    2. Can the student value goodwill using average profits, super profits and capitalisation methods?
    3. Can the student pass entries for premium brought in cash, not brought in and hidden goodwill?
    4. Can the student prepare the Revaluation Account and distribute reserves in the old ratio?
    5. Can the student adjust capitals on the basis of the new partner's capital?

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