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Class XII 📊 Accountancy ~18 MCQs/year Ch 2 of 10

Reconstitution of a Partnership Firm

CUET unit: Accounting for Partnership Firms — Reconstitution of Partnership (Admission of a Partner)

📌 Snapshot

  • Reconstitution of a partnership firm covers admission, change in profit-sharing ratio, retirement and death; this chapter handles admission of a new partner, who acquires the right to share assets and profits in return for capital plus goodwill (NCERT §2.1-§2.2, p. 48-49).
  • Admission triggers six adjustments: new profit-sharing ratio, sacrificing ratio, valuation and treatment of goodwill, revaluation of assets and reassessment of liabilities, accumulated reserves/losses, and capital adjustment (NCERT §2.2, p. 50).
  • Covers three goodwill-valuation methods — Average Profits, Super Profits and Capitalisation (both of average and of super profits) — with worked illustrations (NCERT §2.5.4, p. 57-64).
  • AS-26 treatment: existing goodwill in the books is written off in old ratio because self-generated goodwill cannot be recognised (NCERT box on AS-26, p. 72-73).
  • CUET tests this chapter heavily — sacrificing-ratio computation, goodwill valuation, hidden goodwill, premium treatment, Revaluation Account direction, and reserve transfer in old ratio are recurring NTA themes.

📖 Detailed Notes

2.1 Core concepts

Reconstitution (§2.1, p. 48-49). Any change in the existing partnership agreement amounts to reconstitution — the old agreement ends and a new agreement comes into being, even though the firm itself continues. NCERT names four modes: admission, change in profit-sharing ratio, retirement, and death of a partner. This chapter handles the first mode.

Admission of a new partner (§2.2, p. 49). Under the Partnership Act 1932, a new partner can be admitted only with the consent of all existing partners (unless the deed says otherwise). The incoming partner acquires (i) the right to share assets and (ii) the right to share profits — for which he brings (a) capital and (b) in an established profit-earning firm, a premium called goodwill. Admission triggers a six-point checklist of adjustments (§2.2, p. 50): (1) new profit-sharing ratio, (2) sacrificing ratio, (3) valuation and treatment of goodwill, (4) revaluation of assets and reassessment of liabilities, (5) distribution of accumulated profits and reserves, (6) adjustment of partners' capitals.

New profit-sharing ratio (§2.3, p. 50-52). The new partner takes his share from the old partners. If the mode of acquisition is silent, it is assumed he gets the share from them in their old ratio. Each old partner's new share = old share − share surrendered to incoming partner. NCERT's Illustration 1 (p. 50) develops this: A and B at 3:2, admit C for 1/6 — new ratio 3:2:1.

Sacrificing ratio (§2.4, p. 52-55). The ratio in which old partners forgo their profit shares in favour of the new partner: Sacrifice = Old Share − New Share. The premium for goodwill brought by the new partner is shared by old partners in this ratio. If the new ratio is silent, sacrifice = old ratio; if the new ratio is specified, sacrifice is recomputed and may differ from the old ratio. NCERT Illustration 6 (p. 53) shows that Rohit's sacrifice (3/56) is less than Mohit's (5/56) even though Rohit had the larger original share.

Goodwill — meaning (§2.5.1, p. 55-56). Goodwill is the monetary value of a firm's good name, reputation and business connections that enables it to earn super profits over and above the normal rate of return. It is an intangible asset and exists only when the firm earns super profits.

Factors affecting goodwill (§2.5.2, p. 56). Nature of business, location, efficiency of management, market situation (monopoly/limited competition), and special advantages such as licences, patents, trademarks and long-term contracts.

Need for valuation (§2.5.3, p. 56). Arises on change in profit-sharing ratio, admission, retirement, death, dissolution involving sale as a going concern, and amalgamation of firms.

Goodwill — Average Profits Method (§2.5.4.1, p. 57-59). Goodwill = Average Profits × Number of years' purchase. Weighted average (with weights 1, 2, 3, 4, 5 etc.) is used only when an increasing/decreasing trend exists and weights are specified.

Goodwill — Super Profits Method (§2.5.4.2, p. 60-62). Normal Profit = Firm's Capital × Normal Rate of Return ÷ 100; Super Profit = Average Profit − Normal Profit; Goodwill = Super Profit × Number of years' purchase. The firm's capital excludes goodwill and fictitious assets. NCERT Illustration 13 (p. 61-62) goes further — Normal Profit also includes notional partners' salary at market rates.

Goodwill — Capitalisation Method (§2.5.4.3, p. 62-64). Two sub-methods, both giving the same figure. (a) Capitalisation of average profits: Goodwill = (Average Profit × 100 ÷ Normal Rate) − Net Assets, where Net Assets = Total Assets (excluding goodwill) − Outside Liabilities. (b) Capitalisation of super profits: Goodwill = Super Profit × 100 ÷ Normal Rate.

Treatment of goodwill — premium in cash (§2.5.5.1, p. 64-69). Premium brought by the new partner is shared by old partners in sacrificing ratio. If goodwill already exists in the books, it is first written off in the old ratio among the old partners.

When goodwill is not brought (fully/partly). The new partner's Current A/c (not Capital A/c) is debited for his share of goodwill; sacrificing partners' Capital A/cs are credited in sacrificing ratio. If goodwill already appears in books, it is first written off in old ratio.

AS-26 (p. 72-73). Internally generated / self-generated goodwill cannot be recognised as an asset; only purchased goodwill may be shown and written off over a period not exceeding 10 years. Therefore goodwill appearing in the balance sheet at the time of reconstitution is written off because it is presumed self-generated.

Hidden goodwill (§2.5.5.2, p. 74-76). When goodwill of the firm is not stated, it is inferred from the capital arrangement: Implied total capital = New Partner's Capital × (1 / his share); Goodwill of the firm = Implied Total Capital − Sum of all partners' capitals after admission. The new partner's share of this goodwill is debited to his Current A/c if not brought in cash.

Accumulated profits and losses (§2.6, p. 76-77). General Reserve / credit balance of P&L are transferred to old partners' Capital A/cs in old ratio — Dr Reserve/P&L, Cr old capitals. Accumulated losses or debit balance of P&L are transferred the other way — Dr old capitals, Cr P&L.

Revaluation of assets and reassessment of liabilities (§2.7, p. 77-82). A Revaluation Account is prepared. Increase in asset and decrease in liability are credited (gain); decrease in asset and increase in liability are debited (loss). Unrecorded assets are credited; unrecorded liabilities are debited. The net gain/loss is transferred to old partners' Capital A/cs in old profit-sharing ratio — because the underlying changes relate to the period before admission.

Adjustment of capitals (§2.8, p. 83-93). Old partners' capitals may be adjusted to be proportionate to the new profit-sharing ratio. Using the new partner's capital as the base, total capital of firm = new partner's capital × reciprocal of his share. Each old partner's new capital = total × his new share. The partner with deficiency brings cash (or his Current A/c is debited); the partner with surplus withdraws cash (or his Current A/c is credited).

Change in profit-sharing ratio among existing partners (§2.9, p. 93-96). Without admission/retirement, the same six adjustments are needed. Gaining partners' Capital A/cs are debited and sacrificing partners' Capital A/cs are credited, in the ratio of gain/sacrifice multiplied by the firm's goodwill.

2.2 Definitions to memorise

Term Definition Page
Reconstitution of a firm Any change in the existing partnership agreement; old agreement ends, new comes into being, firm continues (NCERT §2.1). 48
New Profit-Sharing Ratio The ratio in which profits and losses are shared after admission (NCERT §2.3). 50
Sacrificing Ratio Ratio in which old partners agree to sacrifice their share in favour of the incoming partner; Sacrifice = Old − New (NCERT §2.4). 52
Goodwill Monetary value of reputation/connections that enables a firm to earn profits above the normal rate of return (NCERT §2.5.1). 55-56
Normal Profit Firm's Capital × Normal Rate of Return ÷ 100 (NCERT §2.5.4.2). 60
Super Profit Average Profit − Normal Profit (NCERT §2.5.4.2). 60
Average Profits Method Goodwill = Average Profit × Years' purchase (NCERT §2.5.4.1). 57
Super Profits Method Goodwill = Super Profit × Years' purchase (NCERT §2.5.4.2). 60
Capitalisation of Average Profits Goodwill = (Average Profit × 100 ÷ Normal Rate) − Net Assets (NCERT §2.5.4.3). 62
Capitalisation of Super Profits Goodwill = Super Profit × 100 ÷ Normal Rate (NCERT §2.5.4.3). 63
Firm's Capital / Net Assets Total Assets (excluding goodwill and fictitious assets) − Outside Liabilities (NCERT §2.5.4.2). 62
Hidden Goodwill Goodwill inferred from gap between implied total capital and aggregate of partners' capitals (NCERT §2.5.5.2). 74
Premium for Goodwill Amount brought by the new partner to compensate old partners for share in super profits (NCERT §2.5.5.1). 49, 64
Revaluation Account Nominal account to record gain/loss on revaluation; balance transferred to old partners in old ratio (NCERT §2.7). 77
Unrecorded Asset / Liability Asset or liability existing but not earlier shown in books; credited / debited to Revaluation (NCERT §2.7). 78
Memorandum Revaluation Account Variant used when assets/liabilities are not actually altered in the books (NCERT §2.7 note). 82
Gaining Ratio Ratio in which remaining partners gain a share — relevant on retirement or change in ratio without admission (NCERT §2.9). 93
AS-26 Intangible Assets Standard prohibiting recognition of self-generated goodwill; existing goodwill written off (NCERT box, p. 72-73). 72
Adjustment of Capitals Bringing partners' capitals into the new profit-sharing ratio using the new partner's capital as base (NCERT §2.8). 83
Reserve Pre-admission accumulated profit transferred to old capitals in old ratio (NCERT §2.6). 76
Fictitious Asset Item such as deferred revenue expenditure or accumulated losses, treated as nil for net-assets purposes (NCERT §2.5.4.2). 60
Goodwill brought in kind Goodwill paid through non-cash assets — recorded by debiting the asset and crediting Premium A/c (NCERT §2.5.5.1). 67
Premium for Goodwill A/c Temporary account to receive cash brought by new partner before transfer to sacrificing partners (NCERT §2.5.5.1). 64

2.3 Diagrams / processes to remember

Six-step admission checklist box (NCERT §2.2, p. 50). New ratio → sacrificing ratio → goodwill valuation and treatment → revaluation → reserves → capital adjustment. Memorise the order — CUET asks "which is the first step on admission" frequently.

Revaluation Account Format (NCERT §2.7, p. 77-78). Dr side: fall in assets, rise in liabilities, unrecorded liabilities, profit transferred to old capitals (if credit balance). Cr side: rise in assets, fall in liabilities, unrecorded assets, loss transferred to old capitals (if debit balance).

Partners' Capital Accounts Layout (NCERT Illus. 23, p. 80-81). Each old partner's capital A/c shows transfer of goodwill, revaluation profit / loss, reserve transfer, premium received, and balance c/d after admission. The new partner's capital A/c shows capital introduced and goodwill premium (if not brought in cash, his Current A/c is debited).

AS-26 Callout Box (NCERT p. 72-73). Only purchased goodwill may be recognised; self-generated goodwill cannot. Existing goodwill in books on reconstitution is written off in old ratio.

Process — Computing new ratio when surrender is in old ratio. (i) Compute the new partner's share. (ii) Remaining share = 1 − new partner's share. (iii) Multiply each old partner's old share by the remaining share. (iv) Express the result in lowest integers.

Process — Computing sacrificing ratio. (i) Identify each old partner's new share (given or derived). (ii) Sacrifice = Old − New for each. (iii) Divide each sacrifice by total sacrifice to express the ratio.

Process — Goodwill by Super Profits Method. (i) Compute average profit over the agreed years. (ii) Compute normal profit = Firm's Capital × Normal Rate / 100 (add notional partners' salary if specified). (iii) Super profit = Average − Normal. (iv) Goodwill = Super profit × years' purchase.

Process — Hidden Goodwill. (i) Compute implied total capital of new firm = New partner's capital × (1 / his share). (ii) Subtract sum of all partners' capitals after admission (including new partner's). (iii) Result is goodwill of firm. (iv) New partner's share = his profit-share × goodwill.

Process — Treatment of existing goodwill on admission. (i) Write off existing goodwill in old ratio: Dr each old partner's Capital A/c, Cr Goodwill A/c. (ii) Then proceed with sacrificing-ratio treatment for the new goodwill brought / not brought.

2.4 Common confusions / NTA trap points

  1. Sacrificing ratio vs old ratio. Equal only when the mode of acquisition is silent; if a new ratio is given, sacrifice = old − new and must be recomputed (NCERT §2.4, p. 52).
  2. Gain ratio = Sacrifice ratio? No — when existing partners change ratio inter se, some gain (debit their capital) and others sacrifice (credit their capital) (NCERT §2.9, p. 93).
  3. Writing off existing goodwill in NEW ratio. Wrong — AS-26 requires it to be written off in the old profit-sharing ratio (NCERT box, p. 72-73).
  4. Revaluation gain/loss transferred in NEW ratio. Wrong — it belongs to old partners and is shared in old ratio (NCERT §2.7, p. 81).
  5. Including goodwill / fictitious assets in firm's capital for super-profits method. Both are excluded (NCERT §2.5.4.2, p. 60).
  6. When goodwill is not brought. Use new partner's Current A/c (not Capital A/c) — debited against sacrificing partners' capitals (NCERT §2.5.5.1, Illus. 19, p. 70).
  7. Hidden goodwill formula. Implied total capital = New capital × reciprocal of new share; subtract sum of all partners' capitals (NCERT §2.5.5.2, p. 74-76).
  8. Distribution of reserves in NEW ratio. Wrong — reserves belong to old partners in old ratio (NCERT §2.6, p. 76).
  9. Debit balance of P&L is a loss. Distributed to old partners in old ratio (Dr their capitals) (NCERT §2.6, Illus. 22).
  10. Goodwill brought in kind. Debit the asset, credit Premium for Goodwill A/c — then distribute as usual (NCERT §2.5.5.1, p. 67).
  11. Notional salary in normal profit. Some illustrations (Illus. 13, p. 61) add a notional partners' salary at market rates to normal profit — easy to miss.
  12. Adjustment of capitals — which figure is base. Use the new partner's capital as the base for computing total firm capital — not the average of old capitals (NCERT §2.8, Illus. 25, p. 83).

2.5 Journal entry templates

(a) Premium for goodwill brought in cash, distributed in sacrificing ratio (NCERT §2.5.5.1, p. 65)

Date Particulars L.F. Dr. (₹) Cr. (₹)
Apr 1 Bank A/c .................................Dr. 30,000
To Premium for Goodwill A/c 30,000
(Being premium for goodwill brought by C)
Premium for Goodwill A/c .................Dr. 30,000
To A's Capital A/c 18,000
To B's Capital A/c 12,000
(Being premium distributed in sacrificing ratio 3:2)

(b) Goodwill not brought — debit to new partner's Current A/c (NCERT §2.5.5.1, Illus. 19, p. 70)

Date Particulars L.F. Dr. (₹) Cr. (₹)
Apr 1 Chaudhary's Current A/c ..................Dr. 6,000
To Ahuja's Capital A/c 3,000
To Barua's Capital A/c 3,000
(Being Chaudhary's share of goodwill ₹6,000 — 1/5 × 30,000 — not brought; credited to sacrificing partners equally)

(c) Writing off existing goodwill in old ratio (NCERT §2.5.5.1, p. 68; AS-26 box)

Date Particulars L.F. Dr. (₹) Cr. (₹)
Apr 1 A's Capital A/c ...........................Dr. 12,000
B's Capital A/c ...........................Dr. 8,000
To Goodwill A/c 20,000
(Being existing goodwill in books written off in old ratio 3:2 before admission)

(d) Transfer of General Reserve to old partners (NCERT §2.6, Illus. 22, p. 77)

Date Particulars L.F. Dr. (₹) Cr. (₹)
Apr 1 General Reserve A/c ......................Dr. 20,000
To Rajinder's Capital A/c 16,000
To Surinder's Capital A/c 4,000
(Being general reserve transferred to old partners in old ratio 4:1)

(e) Transfer of debit balance of P&L (accumulated loss) (NCERT §2.6, p. 77)

Date Particulars L.F. Dr. (₹) Cr. (₹)
Apr 1 Rajinder's Capital A/c ...................Dr. 8,000
Surinder's Capital A/c ...................Dr. 2,000
To Profit and Loss A/c 10,000
(Being debit balance of P&L distributed in old ratio 4:1)

(f) Increase in value of an asset on revaluation (NCERT §2.7, p. 78)

Date Particulars L.F. Dr. (₹) Cr. (₹)
Apr 1 Land and Building A/c ....................Dr. 50,000
To Revaluation A/c 50,000
(Being land and building appreciated by ₹50,000)

(g) Bringing in an unrecorded liability (NCERT §2.7, p. 78)

Date Particulars L.F. Dr. (₹) Cr. (₹)
Apr 1 Revaluation A/c ..........................Dr. 4,000
To Outstanding Salary A/c 4,000
(Being unrecorded liability for outstanding salary brought into the books)

(h) Distribution of revaluation profit / loss to old partners (NCERT §2.7, p. 81)

Date Particulars L.F. Dr. (₹) Cr. (₹)
Apr 1 Revaluation A/c ..........................Dr. 30,000
To A's Capital A/c 18,000
To B's Capital A/c 12,000
(Being revaluation profit ₹30,000 transferred to old partners in old ratio 3:2)

🎯 Practice MCQs

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Q1. A and B are partners sharing profits 3:2. They admit C for 1/6 share. Assuming C acquires his share from A and B in their old ratio, the new ratio is:

▸ Show answer & explanation

Answer: A

Remaining = 5/6; A = 3/5 × 5/6 = 3/6, B = 2/5 × 5/6 = 2/6, C = 1/6 → 3:2:1.

Q2. The ratio in which old partners agree to sacrifice their share of profit in favour of the incoming partner is called:

▸ Show answer & explanation

Answer: C

Sacrifice = Old − New; premium for goodwill is shared in this ratio.

Q3. Goodwill is best described as:

▸ Show answer & explanation

Answer: C

Goodwill exists only when the firm earns super profits.

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