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Admission of a Partner — Notes

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1. Admission and the adjustments it needs

A new partner may be admitted with the consent of all existing partners (unless the deed says otherwise). Admission reconstitutes the firm: the old agreement ends and a new one begins. The new partner acquires two rights: a share in the assets and a share in the future profits of the firm.

Matters to settle on admission

  1. New profit-sharing ratio.
  2. Sacrificing ratio.
  3. Goodwill (premium, or adjustment through capitals).
  4. Revaluation of assets and reassessment of liabilities.
  5. Reserves and accumulated profits or losses.
  6. Capitals (and, if agreed, their adjustment) and the new balance sheet.
Six matters to settle on admission

Key terms

Admission of a partner

Entry of a new partner into an existing firm, which reconstitutes the firm.

Reconstitution

A change in the agreement among partners while the firm continues.

2. New profit-sharing ratio and sacrificing ratio

Sacrifice of an old partner = old share − new share. The sacrificing ratio is the ratio of these sacrifices.

Terms of admissionHow to compute
Share taken in the old ratioNew share = old share × (1 − new partner's share); sacrificing ratio = old ratio
Fraction of his own share surrenderedSacrifice = old share × fraction
Fraction of the firm givenSacrifice = that fraction
One partner gives the whole shareOnly his share falls
New ratio givenSacrifice = old − new for each

Always check that the new shares add up to 1, and that the sacrifices add up to the new partner's share.

Sacrifice = old share − new share in every case.
How the new partner gets his shareSacrifice of each old partnerNew share of each old partner
From all old partners in the old ratioOld share × new partner's shareOld share × (1 − new partner's share)
Each surrenders a fraction of his own shareOld share × fraction surrenderedOld share − sacrifice
Each gives a fraction of the firmThe fraction givenOld share − fraction given
From one partner onlyWhole new share from him; others nilOnly his share falls
New ratio givenOld share − new shareRead from the new ratio
Sacrificing ratio = old ratio 3 : 2.
Partner (Saffron Prints, imagined)Old shareWorkingNew share
Neha3/53/5 × 4/512/25
Omkar2/52/5 × 4/58/25
Pallavi—given1/5 = 5/25
New ratio12 : 8 : 5
Old and new profit shares, worked example 1.
Table of worked example 2: Arjun gives up 1/5 of 5/8, that is 1/8; Bela gives up 1/3 of 3/8, also 1/8; Charu gets 1/4; the new ratio is 2 : 1 : 1 and the sacrificing ratio 1 : 1, although the old ratio was 5 : 3
Partner (Brahmaputra Tea Traders, imagined)Old shareSacrificeNew share
Arjun5/85/8 × 1/5 = 1/81/2
Bela3/83/8 × 1/3 = 1/81/4
Charu—1/8 + 1/81/4
RatiosSacrificing 1 : 1New 2 : 1 : 1

Key terms

Sacrificing ratio

Ratio in which the old partners give up their shares of profit in favour of the new partner.

New profit-sharing ratio

Ratio in which all partners, including the new one, share future profits.

3. Goodwill on admission (Accounting Standard 26)

Premium for goodwill = firm's goodwill × new partner's share. It is credited to the sacrificing partners in the sacrificing ratio. Accounting Standard 26 allows only purchased goodwill to be recorded, so no goodwill account is raised on admission.

  • In cash: Bank A/c Dr. To Premium for Goodwill A/c; Premium for Goodwill A/c Dr. To sacrificing partners' Capital A/cs.
  • In kind: Asset A/c Dr. To Premium for Goodwill A/c and To new partner's Capital A/c.
  • Partly or not brought: New partner's Capital (or Current) A/c Dr. (unpaid part) To sacrificing partners' Capital A/cs.
  • Withdrawn by old partners: Old partners' Capital A/cs Dr. To Bank A/c.
  • Paid privately: no entry.
  • Goodwill already in the books: written off in the old ratio — Old partners' Capital A/cs Dr. To Goodwill A/c.
Table of goodwill entries on admission: premium in cash goes through the premium for goodwill account to the sacrificing partners; premium in kind debits the asset; premium not brought debits the new partner's capital or current account; withdrawal debits old capitals and credits bank; a private payment needs no entry
SituationJournal entry
Premium brought in cashBank A/c Dr. To Premium for Goodwill A/c; then Premium for Goodwill A/c Dr. To sacrificing partners' Capital A/cs
Premium brought in kindAsset A/c Dr. To Premium for Goodwill A/c and To new partner's Capital A/c
Premium not brought (wholly or partly)New partner's Capital (or Current) A/c Dr. To sacrificing partners' Capital A/cs
Premium withdrawn by old partnersOld partners' Capital A/cs Dr. To Bank A/c
Premium paid privatelyNo entry in the firm's books
Why a premium is paid
Journal of worked example 3: bank debited 1,10,000 rupees, crediting Pallavi's capital 80,000 and premium for goodwill 30,000; then premium for goodwill debited and Neha credited 18,000 and Omkar 12,000
ParticularsDr (₹)Cr (₹)
(i) Bank A/c Dr.1,10,000
To Pallavi's Capital A/c80,000
To Premium for Goodwill A/c30,000
(Capital and premium brought in cash by Pallavi)
(ii) Premium for Goodwill A/c Dr.30,000
To Neha's Capital A/c18,000
To Omkar's Capital A/c12,000
(Premium credited to the sacrificing partners in 3 : 2)
Journal of worked example 4: bank debited 10,000 rupees for the premium brought; then premium for goodwill 10,000 and Charu's capital 14,000 debited, crediting Arjun and Bela 12,000 rupees each
ParticularsDr (₹)Cr (₹)
(i) Bank A/c Dr.10,000
To Premium for Goodwill A/c10,000
(Part of the premium brought in cash by Charu)
(ii) Premium for Goodwill A/c Dr.10,000
Charu's Capital A/c Dr.14,000
To Arjun's Capital A/c12,000
To Bela's Capital A/c12,000
(Goodwill credited to the sacrificing partners; the unpaid part charged to Charu)

Key terms

Premium for goodwill

Amount brought by the new partner to compensate the old partners for their sacrifice.

Purchased goodwill

Goodwill acquired for a consideration; the only goodwill that may be recorded under Accounting Standard 26.

4. Hidden goodwill

When no premium is stated but the new partner brings a capital that is high for his share:

  1. Implied total capital = new partner's capital ÷ his share.
  2. Actual capital = old partners' capitals after all adjustments + new partner's capital.
  3. Hidden goodwill = implied − actual.
  4. New partner's share = hidden goodwill × his share: New partner's Capital (or Current) A/c Dr. To sacrificing partners' Capital A/cs.
Hidden goodwill, step by step
Entry: Kabir's Capital A/c Dr. ₹10,000 To Ishaan's Capital A/c ₹7,500 and Jaya's Capital A/c ₹2,500.
Step (Ganga Agencies, imagined)Working₹
Implied total capital60,000 ÷ 1/42,40,000
Actual capital90,000 + 50,000 + 60,0002,00,000
Hidden goodwill2,40,000 − 2,00,00040,000
Kabir's share40,000 × 1/410,000
Credited 3 : 1Ishaan 7,500, Jaya 2,50010,000

Key terms

Hidden goodwill

Goodwill not stated in the terms but inferred from the capital brought by the new partner.

5. Revaluation of assets and reassessment of liabilities

A revaluation account (profit and loss adjustment account) records changes in values at admission.

  • Debit: decrease in assets, increase in liabilities, unrecorded liabilities, new provisions.
  • Credit: increase in assets, decrease in liabilities, unrecorded assets, provisions no longer needed.
  • Balance: profit (credit to old partners) or loss (debit to old partners) in the old ratio.

Typical entries: Revaluation A/c Dr. To Stock A/c (fall); Building A/c Dr. To Revaluation A/c (rise); Revaluation A/c Dr. To Old partners' Capital A/cs (profit).

Also called the profit and loss adjustment account.
Debit side (losses)Credit side (gains)
Decrease in the value of an assetIncrease in the value of an asset
Increase in a liabilityDecrease in a liability
Unrecorded liability brought inUnrecorded asset brought in
New or higher provision (e.g. for doubtful debts)Provision no longer needed
Balance: profit to old partners (old ratio)Balance: loss to old partners (old ratio)
Why revalue before admission
Revaluation account of Nilgiri Spices: losses on stock 6,000, provision 2,000 and outstanding rent 1,000; gains on building 30,000 and creditors 3,000; profit 24,000 rupees shared Rohan 16,000 and Simran 8,000
Dr. Particulars₹Cr. Particulars₹
Stock (decrease)6,000Building (increase)30,000
Provision for doubtful debts2,000Creditors not payable3,000
Outstanding rent (unrecorded)1,000
Profit transferred to Rohan's Capital A/c16,000
Profit transferred to Simran's Capital A/c8,000
Total33,000Total33,000

Key terms

Revaluation account

Nominal account recording gains and losses from revaluing assets and liabilities on reconstitution.

Unrecorded asset or liability

An item omitted from the books and brought in at the time of admission.

6. Reserves and accumulated profits or losses

Reserves and accumulated profits belong to the old partners and are shared in the old ratio:

  • General reserve / credit balance of profit and loss: Reserve A/c Dr. To Old partners' Capital A/cs.
  • Debit balance of profit and loss, deferred revenue expenditure (e.g. advertisement suspense): Old partners' Capital A/cs Dr. To the account.
  • Workmen compensation reserve: meets the claim first; the balance is credited to old partners; an excess claim is debited to revaluation.
  • Investment fluctuation reserve: meets the fall in investments first; the balance is credited to old partners; an excess fall is debited to revaluation.
Table of reserves on admission: general reserve and credit profit and loss are credited to old partners in the old ratio; accumulated losses are debited; workmen compensation reserve first meets the claim and investment fluctuation reserve first meets the fall in investments, with balances credited
Item in the old balance sheetTreatment (old partners, old ratio)
General reserve; credit balance of profit and lossCredited to old partners' capitals
Debit balance of profit and loss; deferred revenue expenditureDebited to old partners' capitals
Workmen compensation reserveClaim first; balance credited (an excess claim is a revaluation loss)
Investment fluctuation reserveFall in investments first; balance credited (an excess fall is a revaluation loss)
Journal of worked example 7: general reserve 40,000 credited Uday 24,000 and Vani 16,000; accumulated loss 10,000 debited 6,000 and 4,000; workmen compensation reserve 15,000 meets a claim of 9,000 with the balance 6,000 credited 3 : 2
ParticularsDr (₹)Cr (₹)
(i) General Reserve A/c Dr.40,000
To Uday's Capital A/c24,000
To Vani's Capital A/c16,000
(General reserve transferred to the old partners in 3 : 2)
(ii) Uday's Capital A/c Dr.6,000
Vani's Capital A/c Dr.4,000
To Profit and Loss A/c10,000
(Accumulated loss written off among the old partners)
(iii) Workmen Compensation Reserve A/c Dr.15,000
To Workmen Compensation Claim A/c9,000
To Uday's Capital A/c3,600
To Vani's Capital A/c2,400
(Claim provided out of the reserve; balance to the old partners)

Key terms

Accumulated profits

Profits earned before admission and kept in the business as reserves or as a credit balance.

Workmen compensation reserve

Reserve kept for claims of workers for injury; on admission it first meets any claim.

Investment fluctuation reserve

Reserve kept against a fall in the market value of investments.

7. Capitals and the new balance sheet

Capital accounts are prepared in columnar form for all partners; closing balances go to the new balance sheet.

Old partners' capitals on the basis of the new partner's capital

  • Total capital = new partner's capital ÷ his share.
  • Required capital of each old partner = total capital × his new share.
  • Surplus → withdrawn (Capital A/c Dr. To Bank A/c) or credited to his current account; deficit → brought in (Bank A/c Dr. To Capital A/c) or debited to his current account.

New partner's capital on the basis of the old partners' capitals

  • Total capital = old partners' adjusted capitals ÷ their combined new share; new partner's capital = total capital × his share.

New balance sheet: assets and liabilities at revised values, unrecorded items added, reserves removed, closing capitals (and any current accounts) shown.

Capitals in the new ratio
Total capital = ₹50,000 ÷ 1/5 = ₹2,50,000.
Kosi Electricals (imagined)YashZoya
New share2/52/5
Required (2,50,000 × share)1,00,0001,00,000
Adjusted capital1,12,00091,000
Surplus (−) / deficit (+)−12,000 (withdraws)+9,000 (brings)
Table: old partners' adjusted capitals of 1,80,000 rupees stand for three quarters of the new firm, so total capital is 2,40,000 and the new partner's one-quarter capital is 60,000 rupees
Step (Chambal Dairy, imagined)Working₹
Old partners' adjusted capitalsgiven1,80,000
Their combined share in the new firm1 − 1/4 = 3/4
Total capital1,80,000 ÷ 3/42,40,000
New partner Farhan's capital2,40,000 × 1/460,000
Balance sheet of Nilgiri Spices before admission, totalling 2,76,000 rupees: creditors, general reserve and the capitals of Rohan and Simran; bank, debtors, stock, furniture and building
Liabilities₹Assets₹
Creditors48,000Bank22,000
General Reserve18,000Debtors40,000
Rohan's Capital1,20,000Stock60,000
Simran's Capital90,000Furniture24,000
Building1,30,000
Total2,76,000Total2,76,000
Partners' capital accounts of Nilgiri Spices: opening balances 1,20,000 and 90,000; revaluation profit, general reserve and premium credited to Rohan and Simran; Tara credited 1,00,000; closing balances Rohan 1,64,000, Simran 1,12,000 and Tara 1,00,000 rupees
Dr. ParticularsRohan (₹)Simran (₹)Tara (₹)Cr. ParticularsRohan (₹)Simran (₹)Tara (₹)
Balance b/d1,20,00090,000
Revaluation A/c (profit)16,0008,000
General Reserve12,0006,000
Premium for Goodwill A/c16,0008,000
Balance c/d1,64,0001,12,0001,00,000Bank A/c1,00,000
Total1,64,0001,12,0001,00,000Total1,64,0001,12,0001,00,000
Assets at revalued figures; bank includes everything Tara brought in.
Liabilities₹Assets₹
Creditors45,000Bank1,46,000
Outstanding Rent1,000Debtors 40,000 less provision 2,00038,000
Rohan's Capital1,64,000Stock54,000
Simran's Capital1,12,000Furniture24,000
Tara's Capital1,00,000Building1,60,000
Total4,22,000Total4,22,000

Key terms

Current account

A partner's account for adjustments other than fixed capital; used to settle surpluses and deficits without cash.

Proportionate capital

Capital in the same proportion as the profit-sharing ratio.

Exam tips

Common mistakes

  • Crediting the premium in the old ratio when the sacrificing ratio is different.
  • Multiplying when a partner gives a fraction of the firm, or subtracting when he surrenders a fraction of his own share.
  • Giving the new partner a share of revaluation profit or reserves.
  • Opening a goodwill account for premium or hidden goodwill.
  • Comparing capitals before all adjustments (revaluation, reserves, premium) are made.
  • Forgetting to add the new partner's cash (capital and premium) to the bank in the new balance sheet.

How marks are usually awarded

  • 1 mark: objective items.
  • 3 marks: a ratio calculation with steps, or two or three journal entries with narrations.
  • 4 marks: entries for two cases, or a revaluation account with capital accounts.
  • 6 marks: revaluation account (about 2), capital accounts (about 2), new balance sheet (about 2); working notes earn step marks.

Figures in SOYL practice are imagined; your board paper will give its own.