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
- New profit-sharing ratio.
- Sacrificing ratio.
- Goodwill (premium, or adjustment through capitals).
- Revaluation of assets and reassessment of liabilities.
- Reserves and accumulated profits or losses.
- Capitals (and, if agreed, their adjustment) and the new balance sheet.
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 admission | How to compute |
|---|---|
| Share taken in the old ratio | New share = old share × (1 − new partner's share); sacrificing ratio = old ratio |
| Fraction of his own share surrendered | Sacrifice = old share × fraction |
| Fraction of the firm given | Sacrifice = that fraction |
| One partner gives the whole share | Only his share falls |
| New ratio given | Sacrifice = 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.
| How the new partner gets his share | Sacrifice of each old partner | New share of each old partner |
|---|---|---|
| From all old partners in the old ratio | Old share × new partner's share | Old share × (1 − new partner's share) |
| Each surrenders a fraction of his own share | Old share × fraction surrendered | Old share − sacrifice |
| Each gives a fraction of the firm | The fraction given | Old share − fraction given |
| From one partner only | Whole new share from him; others nil | Only his share falls |
| New ratio given | Old share − new share | Read from the new ratio |
| Partner (Saffron Prints, imagined) | Old share | Working | New share |
|---|---|---|---|
| Neha | 3/5 | 3/5 × 4/5 | 12/25 |
| Omkar | 2/5 | 2/5 × 4/5 | 8/25 |
| Pallavi | — | given | 1/5 = 5/25 |
| New ratio | 12 : 8 : 5 |
| Partner (Brahmaputra Tea Traders, imagined) | Old share | Sacrifice | New share |
|---|---|---|---|
| Arjun | 5/8 | 5/8 × 1/5 = 1/8 | 1/2 |
| Bela | 3/8 | 3/8 × 1/3 = 1/8 | 1/4 |
| Charu | — | 1/8 + 1/8 | 1/4 |
| Ratios | Sacrificing 1 : 1 | New 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.
| Situation | Journal entry |
|---|---|
| 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 |
| Premium brought in kind | Asset 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 partners | Old partners' Capital A/cs Dr. To Bank A/c |
| Premium paid privately | No entry in the firm's books |
| Particulars | Dr (₹) | Cr (₹) |
|---|---|---|
| (i) Bank A/c Dr. | 1,10,000 | |
| To Pallavi's Capital A/c | 80,000 | |
| To Premium for Goodwill A/c | 30,000 | |
| (Capital and premium brought in cash by Pallavi) | ||
| (ii) Premium for Goodwill A/c Dr. | 30,000 | |
| To Neha's Capital A/c | 18,000 | |
| To Omkar's Capital A/c | 12,000 | |
| (Premium credited to the sacrificing partners in 3 : 2) |
| Particulars | Dr (₹) | Cr (₹) |
|---|---|---|
| (i) Bank A/c Dr. | 10,000 | |
| To Premium for Goodwill A/c | 10,000 | |
| (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/c | 12,000 | |
| To Bela's Capital A/c | 12,000 | |
| (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:
- Implied total capital = new partner's capital ÷ his share.
- Actual capital = old partners' capitals after all adjustments + new partner's capital.
- Hidden goodwill = implied − actual.
- New partner's share = hidden goodwill × his share: New partner's Capital (or Current) A/c Dr. To sacrificing partners' Capital A/cs.
| Step (Ganga Agencies, imagined) | Working | ₹ |
|---|---|---|
| Implied total capital | 60,000 ÷ 1/4 | 2,40,000 |
| Actual capital | 90,000 + 50,000 + 60,000 | 2,00,000 |
| Hidden goodwill | 2,40,000 − 2,00,000 | 40,000 |
| Kabir's share | 40,000 × 1/4 | 10,000 |
| Credited 3 : 1 | Ishaan 7,500, Jaya 2,500 | 10,000 |
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).
| Debit side (losses) | Credit side (gains) |
|---|---|
| Decrease in the value of an asset | Increase in the value of an asset |
| Increase in a liability | Decrease in a liability |
| Unrecorded liability brought in | Unrecorded 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) |
| Dr. Particulars | ₹ | Cr. Particulars | ₹ |
|---|---|---|---|
| Stock (decrease) | 6,000 | Building (increase) | 30,000 |
| Provision for doubtful debts | 2,000 | Creditors not payable | 3,000 |
| Outstanding rent (unrecorded) | 1,000 | ||
| Profit transferred to Rohan's Capital A/c | 16,000 | ||
| Profit transferred to Simran's Capital A/c | 8,000 | ||
| Total | 33,000 | Total | 33,000 |
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.
| Item in the old balance sheet | Treatment (old partners, old ratio) |
|---|---|
| General reserve; credit balance of profit and loss | Credited to old partners' capitals |
| Debit balance of profit and loss; deferred revenue expenditure | Debited to old partners' capitals |
| Workmen compensation reserve | Claim first; balance credited (an excess claim is a revaluation loss) |
| Investment fluctuation reserve | Fall in investments first; balance credited (an excess fall is a revaluation loss) |
| Particulars | Dr (₹) | Cr (₹) |
|---|---|---|
| (i) General Reserve A/c Dr. | 40,000 | |
| To Uday's Capital A/c | 24,000 | |
| To Vani's Capital A/c | 16,000 | |
| (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/c | 10,000 | |
| (Accumulated loss written off among the old partners) | ||
| (iii) Workmen Compensation Reserve A/c Dr. | 15,000 | |
| To Workmen Compensation Claim A/c | 9,000 | |
| To Uday's Capital A/c | 3,600 | |
| To Vani's Capital A/c | 2,400 | |
| (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.
| Kosi Electricals (imagined) | Yash | Zoya |
|---|---|---|
| New share | 2/5 | 2/5 |
| Required (2,50,000 × share) | 1,00,000 | 1,00,000 |
| Adjusted capital | 1,12,000 | 91,000 |
| Surplus (−) / deficit (+) | −12,000 (withdraws) | +9,000 (brings) |
| Step (Chambal Dairy, imagined) | Working | ₹ |
|---|---|---|
| Old partners' adjusted capitals | given | 1,80,000 |
| Their combined share in the new firm | 1 − 1/4 = 3/4 | |
| Total capital | 1,80,000 ÷ 3/4 | 2,40,000 |
| New partner Farhan's capital | 2,40,000 × 1/4 | 60,000 |
| Liabilities | ₹ | Assets | ₹ |
|---|---|---|---|
| Creditors | 48,000 | Bank | 22,000 |
| General Reserve | 18,000 | Debtors | 40,000 |
| Rohan's Capital | 1,20,000 | Stock | 60,000 |
| Simran's Capital | 90,000 | Furniture | 24,000 |
| Building | 1,30,000 | ||
| Total | 2,76,000 | Total | 2,76,000 |
| Dr. Particulars | Rohan (₹) | Simran (₹) | Tara (₹) | Cr. Particulars | Rohan (₹) | Simran (₹) | Tara (₹) |
|---|---|---|---|---|---|---|---|
| Balance b/d | 1,20,000 | 90,000 | |||||
| Revaluation A/c (profit) | 16,000 | 8,000 | |||||
| General Reserve | 12,000 | 6,000 | |||||
| Premium for Goodwill A/c | 16,000 | 8,000 | |||||
| Balance c/d | 1,64,000 | 1,12,000 | 1,00,000 | Bank A/c | 1,00,000 | ||
| Total | 1,64,000 | 1,12,000 | 1,00,000 | Total | 1,64,000 | 1,12,000 | 1,00,000 |
| Liabilities | ₹ | Assets | ₹ |
|---|---|---|---|
| Creditors | 45,000 | Bank | 1,46,000 |
| Outstanding Rent | 1,000 | Debtors 40,000 less provision 2,000 | 38,000 |
| Rohan's Capital | 1,64,000 | Stock | 54,000 |
| Simran's Capital | 1,12,000 | Furniture | 24,000 |
| Tara's Capital | 1,00,000 | Building | 1,60,000 |
| Total | 4,22,000 | Total | 4,22,000 |
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.