Imagine a small stationery shop run by two friends. It works, it earns, it has a name customers trust. One day a third person wants to join and put money in. Fair enough — but the shop the two friends built already has value that the newcomer did nothing to create. Who pays for that? Who loses a slice of future profit? Whose old profits and old losses still belong to whom? That single moment is what admission of a partner is about, and this chapter is your complete, unhurried guide to it — built for CBSE Class 12 Accountancy, syllabus 2026-27, following the NCERT textbook Accountancy — Partnership Firms and Company Accounts (Part 1).
Most students find this chapter frightening because it looks like six unrelated calculations stapled together. It is not. It is one story told in a fixed order, and once you learn the order, every question in the paper becomes the same question wearing a different costume. Below you will find every sub-topic explained from zero, with solved examples, journal entries, revaluation and capital accounts, and the reconstituted balance sheet. If you have been searching for admission of a partner class 12 accountancy important questions with solved examples, treat this page as your workbook: read a section, then close the screen and rebuild the working on paper.
Meet Your Tutor
Admission of a Partner becomes manageable when every adjustment is connected to one fairness question: what must change because a new person is entering the firm? I will help you track the new ratio, sacrifice, goodwill, revaluation, reserves and capital adjustment in a fixed order, with a balance check after every major step.
What You’ll Learn
- The Six R’s — Your Master Routine for Admission of a Partner
- Calculating the New Profit-Sharing Ratio
- Sacrificing Ratio, and When a Partner Actually Gains
- Goodwill Treatment on Admission: Premium Brought in Cash
- Premium Brought in Kind, and Premium Withdrawn
- When Goodwill Is Not Brought In, or Only Partly
- Hidden Goodwill and How to Dig It Out
- Revaluation of Assets and Liabilities
- Reserves, Accumulated Profits and Accumulated Losses
- Adjustment of Capitals on Admission
- Partners’ Capital Accounts and the Reconstituted Balance Sheet
- A Full Board-Style Question, Start to Finish
- Practice Worksheet
Your Game Plan
- Learn the Six R’s routine first. Everything else hangs on it.
- Get comfortable with fractions — new ratio and sacrificing ratio are pure fraction work.
- Master the three goodwill situations: premium in cash, premium not brought in, hidden goodwill.
- Practise the Revaluation Account until gains and losses land on the correct side automatically.
- Distribute reserves and accumulated losses to the old partners in the old ratio — never to the new partner.
- Finish with capital adjustment and the new balance sheet, and check that both sides agree.
- Then attempt the worksheet at the bottom with a pen, a calculator and no peeking.
Study Notes
The Six R’s — Your Master Routine for Admission of a Partner
When a new partner walks in, the old firm technically comes to an end and a new firm begins with the same books. Accountants call this reconstitution (पुनर्गठन). The business does not stop, the shutters do not come down, but the profit-sharing arrangement changes, and so every item that belonged to the old arrangement must be settled before the new one starts.
Here is the memory device that makes this chapter easy. Every admission question, no matter how long, is answered in six steps that all begin with the letter R. Learn them in order and never break the order.
R2 Reserves · distribute general reserve, accumulated profits and accumulated losses to the old partners in the old ratio.
R3 Revalue · prepare the Revaluation Account and pass its profit or loss to the old partners in the old ratio.
R4 Reward · credit the goodwill premium to the sacrificing partners in the sacrificing ratio.
R5 Receive · record the capital brought in by the new partner and adjust the old partners’ capitals if the question asks.
R6 Report · prepare the Partners’ Capital Accounts and the reconstituted Balance Sheet.
Why the order matters. Steps R2 and R3 both hand money to the old partners in the old ratio, because those profits and those valuation changes were earned or suffered before the newcomer arrived. Step R4 hands money to the sacrificing partners in the sacrificing ratio, because goodwill is compensation for a slice of the future, not a share of the past. If you jumble the order you will end up applying the wrong ratio to the wrong item, and that is the single biggest source of lost marks in this chapter.
Before calculating anything, label the sentences:
• “3:2 … 1/4 share” → R1
• “General Reserve ₹20,000” → R2
• “stock reduced … building appreciated” → R3
• “₹24,000 as premium” → R4
• “₹80,000 as capital” → R5
• “Prepare the necessary accounts” → R6
Every sentence has a home. Nothing is left over, and nothing is invented. That labelling habit — done in thirty seconds with a pencil in the margin — is worth more marks than any formula in this chapter.
If partnership accounting is still new to you, it is worth revisiting the basics of profit sharing, interest on capital and the Profit and Loss Appropriation Account in our chapter on Accounting for Partnership Firms: Fundamentals before going further. The admission chapter assumes you are already fluent there.
Calculating the New Profit-Sharing Ratio
Think of the firm’s profit as one whole chapati. Before admission, the old partners divide the entire chapati among themselves. After admission, the newcomer must be handed a piece — and that piece can only come from the pieces the old partners were holding. The new profit-sharing ratio simply records who holds how much of the chapati afterwards.
Questions give you the information in one of three ways, and each way has its own short method.
Case B — the newcomer takes his share from named partners in a stated proportion. Split the newcomer’s share in that proportion and subtract each piece from the correct partner.
Case C — the new ratio is stated outright. Nothing to compute; go straight to the sacrificing ratio.
The question says nothing about who gives up what, so Arun and Bela keep sharing what is left in 3:2.
Remaining profit = 1 − 1/4 = 3/4.
Arun = 3/4 × 3/5 = 9/20.
Bela = 3/4 × 2/5 = 6/20.
Chirag = 1/4 = 5/20.
New ratio = 9 : 6 : 5. Check: 9 + 6 + 5 = 20 ✓
Chirag’s 1/5 is split equally, so each old partner gives up 1/5 × 1/2 = 1/10.
Arun = 3/5 − 1/10 = 6/10 − 1/10 = 5/10.
Bela = 2/5 − 1/10 = 4/10 − 1/10 = 3/10.
Chirag = 1/5 = 2/10.
New ratio = 5 : 3 : 2. Check: 5 + 3 + 2 = 10 ✓
Split Rehan’s 1/4 in 2:1.
From Priya = 1/4 × 2/3 = 1/6. From Qadir = 1/4 × 1/3 = 1/12.
Priya = 5/8 − 1/6 = 15/24 − 4/24 = 11/24.
Qadir = 3/8 − 1/12 = 9/24 − 2/24 = 7/24.
Rehan = 1/4 = 6/24.
New ratio = 11 : 7 : 6. Check: 11 + 7 + 6 = 24 ✓
Why it works. Profit shares are fractions of the same whole, so they must always add up to exactly 1. That gives you a free self-check on every single question. Convert all the shares to a common denominator, add the numerators, and confirm the total equals the denominator. If it does not, you have made an arithmetic slip — find it before you go anywhere near the capital accounts, because a wrong ratio poisons every later step.
Sacrificing Ratio, and When a Partner Actually Gains
The sacrificing ratio answers one question: how much profit did each old partner give up so that the new partner could be accommodated? It is the ratio in which the goodwill premium is shared, so getting it wrong costs marks twice — once in the ratio and once in the goodwill entry.
Special case worth memorising: if the question is silent about who surrenders what (Case A above), the sacrificing ratio always turns out to be the old ratio. You can verify it, but you can also quote it.
Common denominator 30.
Sohan: old 2/3 = 20/30, new 5/10 = 15/30 → sacrifice 5/30.
Tarun: old 1/3 = 10/30, new 3/10 = 9/30 → sacrifice 1/30.
Sacrificing ratio = 5 : 1.
Cross-check: total sacrifice = 5/30 + 1/30 = 6/30 = 1/5, and Uma’s share is 2/10 = 1/5 ✓
Common denominator 24.
Vikas: old 3/6 = 12/24, new 3/8 = 9/24 → sacrifice 3/24.
Wasim: old 2/6 = 8/24, new 3/8 = 9/24 → gain 1/24.
Yamini: old 1/6 = 4/24, new 1/8 = 3/24 → sacrifice 1/24.
Zoya: 1/8 = 3/24.
Net check: total sacrifice 3/24 + 1/24 = 4/24, less the gain of 1/24, leaves 3/24 — exactly Zoya’s share ✓
Goodwill entry logic: Wasim, who gained, is debited for 1/24 of the firm’s goodwill; Vikas and Yamini are credited in the ratio 3:1. Zoya is debited for her own 3/24 share of goodwill if she does not bring it in cash.
Why it works. The total profit is fixed at 1. If the newcomer walks away with a slice, that slice must be exactly equal to the net amount the continuing partners give up. So “total sacrifice minus total gain equals the new partner’s share” is not a lucky coincidence — it is arithmetic, and it is the best proof-read you have.
Sacrificing Ratio vs Gaining Ratio
| Point | Sacrificing Ratio | Gaining Ratio |
|---|---|---|
| Meaning | Ratio in which old partners give up profit share | Ratio in which continuing partners pick up extra profit share |
| Formula | Old Share − New Share | New Share − Old Share |
| Usual occasion | Admission of a partner | Retirement or death of a partner |
| Goodwill effect | Capital account is credited | Capital account is debited |
| Can both appear together? | Yes. On admission with a stated new ratio, one old partner may sacrifice while another gains — as in Example 6. | |
Goodwill Treatment on Admission: Premium Brought in Cash
Goodwill (साख) is the value of everything a business owns that never shows up in a stock register: the regular customers, the location, the staff who know the work, the name people trust. The newcomer will start earning from all of that on day one without having spent a rupee building it. So he pays the old partners a lump sum called a premium for goodwill.
One accounting standard governs everything here. Under AS 26 — Intangible Assets, goodwill can be recorded in the books only when it is actually purchased for a price. Goodwill that a firm generates by simply doing good business over the years is self-generated goodwill, and it must never be brought into the books. This is why you will never open a “Goodwill Account” on admission and leave it sitting in the balance sheet.
Bank A/c … Dr. (capital + premium)
To New Partner’s Capital A/c
To Premium for Goodwill A/c
Entry 2 (premium distributed):
Premium for Goodwill A/c … Dr.
To Sacrificing Partners’ Capital A/cs (in the sacrificing ratio)
The Premium for Goodwill Account is only a temporary parking spot. It opens and closes within the same set of entries and never appears in the final balance sheet.
Working: silent question → sacrificing ratio = old ratio = 3:2.
Anil’s share of premium = ₹20,000 × 3/5 = ₹12,000.
Bhavna’s share = ₹20,000 × 2/5 = ₹8,000.
Journal:
Bank A/c … Dr. ₹80,000
To Chetan’s Capital A/c ₹60,000
To Premium for Goodwill A/c ₹20,000
(Being capital and goodwill premium brought in by Chetan)
Premium for Goodwill A/c … Dr. ₹20,000
To Anil’s Capital A/c ₹12,000
To Bhavna’s Capital A/c ₹8,000
(Being premium credited to the sacrificing partners in the ratio 3:2)
From Example 5, the sacrificing ratio is 5:1 — nothing like the old ratio of 2:1.
Sohan = ₹36,000 × 5/6 = ₹30,000.
Tarun = ₹36,000 × 1/6 = ₹6,000.
Premium for Goodwill A/c … Dr. ₹36,000
To Sohan’s Capital A/c ₹30,000
To Tarun’s Capital A/c ₹6,000
Had you lazily used 2:1, Sohan would have received ₹24,000 and Tarun ₹12,000 — a ₹6,000 error in two capital accounts and, through them, in the balance sheet.
Why it works. Goodwill premium is a private payment from the incoming partner to the partners who gave up part of their future profit. It is not firm income, so it never touches the Profit and Loss Account; and because it is compensation for the slice given up, it must follow the sacrificing ratio. If you want a deeper look at how goodwill itself is valued — average profit, super profit and capitalisation methods — work through Goodwill and Change in Profit-Sharing Ratio.
Premium Brought in Kind, and Premium Withdrawn
Two small variations trip up otherwise well-prepared students. The first is when the newcomer pays the premium with an asset instead of money. The second is when the old partners take the premium out of the business afterwards.
Premium in kind. Nothing conceptual changes. You simply debit the asset that came in instead of debiting Bank. The distribution entry is untouched.
Machinery A/c … Dr. ₹40,000
To Premium for Goodwill A/c ₹40,000
(Being goodwill premium brought in the form of machinery)
Premium for Goodwill A/c … Dr. ₹40,000
To Anil’s Capital A/c ₹24,000
To Bhavna’s Capital A/c ₹16,000
(Being premium credited in the ratio 3:2)
Check: ₹40,000 × 3/5 = ₹24,000 and ₹40,000 × 2/5 = ₹16,000; total ₹40,000 ✓ The machinery now sits on the assets side at ₹40,000.
Premium withdrawn. Once the premium has been credited to the sacrificing partners’ capital accounts, that money belongs to them personally. If the question says they withdraw it — fully or partly — you pass a plain withdrawal entry. Never merge this with the distribution entry.
Anil withdraws ₹12,000 × 1/2 = ₹6,000.
Bhavna withdraws ₹8,000 × 1/2 = ₹4,000.
Anil’s Capital A/c … Dr. ₹6,000
Bhavna’s Capital A/c … Dr. ₹4,000
To Bank A/c ₹10,000
(Being half of the goodwill premium withdrawn by the sacrificing partners)
Effect on the balance sheet: Bank falls by ₹10,000, Anil’s capital ends ₹6,000 lower and Bhavna’s ₹4,000 lower than in Example 7. Both sides still agree.
When Goodwill Is Not Brought In, or Only Partly
Sometimes the newcomer cannot spare the cash for goodwill, or brings only a part of it. He still owes the old partners his share of goodwill — so instead of cash, the debt is settled inside the books by debiting his capital account.
Step 2: Cash actually brought as premium goes to the Premium for Goodwill A/c.
Step 3: Under the current NCERT/CBSE treatment, any shortfall is debited to the new partner’s Current A/c so the agreed capital is not diluted.
Step 4: The full share of goodwill is credited to the sacrificing partners in the sacrificing ratio.
Nothing is written off, nothing is created — the total credited always equals the new partner’s full share of goodwill.
Chetan’s share of goodwill = ₹1,20,000 × 1/4 = ₹30,000.
Brought in cash = ₹18,000. Shortfall = ₹30,000 − ₹18,000 = ₹12,000.
Anil = ₹30,000 × 3/5 = ₹18,000. Bhavna = ₹30,000 × 2/5 = ₹12,000.
Bank A/c … Dr. ₹18,000
To Premium for Goodwill A/c ₹18,000
Premium for Goodwill A/c … Dr. ₹18,000
Chetan’s Current A/c … Dr. ₹12,000
To Anil’s Capital A/c ₹18,000
To Bhavna’s Capital A/c ₹12,000
(Being Chetan’s share of goodwill adjusted, part in cash and the unpaid balance through his current account)
Check: debits ₹18,000 + ₹12,000 = ₹30,000 = credits ₹18,000 + ₹12,000 ✓
There is no cash, so there is no Bank entry and no Premium for Goodwill Account at all. A single entry does the whole job:
Chetan’s Current A/c … Dr. ₹30,000
To Anil’s Capital A/c ₹18,000
To Bhavna’s Capital A/c ₹12,000
(Being Chetan’s unpaid share of goodwill adjusted through his current account)
Notice what has not happened: no Goodwill Account was opened and Chetan’s agreed capital remains intact. His Current Account carries the ₹30,000 goodwill adjustment.
Why it works. Think of the goodwill premium as an IOU. If the newcomer pays cash, the IOU is settled at once. If he does not, the unpaid amount is carried as a debit in his Current Account while the agreed Capital Account remains intact. Either way the old partners receive full value, and AS 26 is respected because no self-generated goodwill has been recorded as an asset.
Hidden Goodwill and How to Dig It Out
Occasionally a question refuses to tell you what the goodwill is worth. It simply says the new partner brings a certain capital for a certain share, and then asks you to record goodwill. The value is hidden inside the deal itself, and you can extract it with a single idea: the newcomer would not hand over more money than his share of the firm’s book capital is worth unless he were also paying for something intangible.
2. Total capital implied by the new partner’s investment = his capital × the reciprocal of his share.
3. Actual combined capital = adjusted capitals of all partners including the new one.
4. Hidden goodwill of the firm = implied total − actual total. The new partner’s share of goodwill = that figure × his profit share, debited to his Current Account and credited to the sacrificing partners.
Implied total capital = ₹1,00,000 × 4/1 = ₹4,00,000.
Actual combined capital = ₹1,50,000 + ₹1,00,000 + ₹1,00,000 = ₹3,50,000.
Hidden goodwill of the firm = ₹4,00,000 − ₹3,50,000 = ₹50,000.
Farhan’s share = ₹50,000 × 1/4 = ₹12,500.
Deepa = ₹12,500 × 3/5 = ₹7,500. Eshan = ₹12,500 × 2/5 = ₹5,000.
Farhan’s Current A/c … Dr. ₹12,500
To Deepa’s Capital A/c ₹7,500
To Eshan’s Capital A/c ₹5,000
(Being Farhan’s share of hidden goodwill adjusted through his current account)
Implied total capital = ₹50,000 × 5/1 = ₹2,50,000.
Actual combined capital = ₹80,000 + ₹40,000 + ₹50,000 = ₹1,70,000.
Hidden goodwill = ₹2,50,000 − ₹1,70,000 = ₹80,000.
Ishan’s share = ₹80,000 × 1/5 = ₹16,000.
Gita = ₹16,000 × 3/5 = ₹9,600. Hari = ₹16,000 × 2/5 = ₹6,400.
Ishan’s Current A/c … Dr. ₹16,000
To Gita’s Capital A/c ₹9,600
To Hari’s Capital A/c ₹6,400
Check: ₹9,600 + ₹6,400 = ₹16,000 ✓
Why it works. Ishan paid ₹50,000 for one-fifth of the firm. If the firm were worth only its book capital, one-fifth would have cost him one-fifth of ₹1,70,000, which is ₹34,000. He willingly paid ₹16,000 more. That extra ₹16,000 is his purchase of goodwill, and scaling it up by five gives the firm’s goodwill of ₹80,000. The formula is just this common-sense reasoning written backwards.
Revaluation of Assets and Liabilities
The balance sheet on the day before admission shows assets at old, historical figures. A building bought fifteen years ago may be worth three times its book value; stock may have gone stale. If the newcomer joined at those stale figures, he would quietly share in gains the old partners had earned, or escape losses the old partners had suffered. So the firm re-values everything and pushes the entire result to the old partners in the old ratio.
The account used is the Revaluation Account, also called the Profit and Loss Adjustment Account. It behaves exactly like a mini profit and loss account for valuation changes only.
Credit side (gains): increase in an asset, decrease in a liability, a liability that no longer has to be paid, an unrecorded asset brought in, a provision reduced.
One-line memory hook: assets up is good, liabilities up is bad. Credit balance = profit, shared by old partners in the old ratio; debit balance = loss, borne the same way.
Losses (debit): stock ₹40,000 × 10% = ₹4,000; provision for doubtful debts ₹60,000 × 5% = ₹3,000; outstanding repairs ₹1,500. Total = ₹8,500.
Gains (credit): building ₹1,00,000 × 20% = ₹20,000; creditors written back ₹2,000. Total = ₹22,000.
Profit on revaluation = ₹22,000 − ₹8,500 = ₹13,500.
Anil = ₹13,500 × 3/5 = ₹8,100. Bhavna = ₹13,500 × 2/5 = ₹5,400.
Revaluation A/c … Dr. ₹13,500
To Anil’s Capital A/c ₹8,100
To Bhavna’s Capital A/c ₹5,400
(Being profit on revaluation transferred to the old partners in the old ratio)
Losses: machinery ₹60,000 × 15% = ₹9,000; workmen compensation claim ₹5,000. Total = ₹14,000.
Gains: investments ₹23,000 − ₹20,000 = ₹3,000.
Loss on revaluation = ₹14,000 − ₹3,000 = ₹11,000.
Anil bears ₹11,000 × 3/5 = ₹6,600. Bhavna bears ₹11,000 × 2/5 = ₹4,400.
Anil’s Capital A/c … Dr. ₹6,600
Bhavna’s Capital A/c … Dr. ₹4,400
To Revaluation A/c ₹11,000
(Being loss on revaluation borne by the old partners in the old ratio)
Why it works. A change in the value of an asset did not happen on the morning of admission — it built up silently over the years the old partners were running the firm. Handing that build-up to them, and only to them, is simply matching the gain or loss to the period that produced it. The revised figures then carry forward into the new balance sheet, which is why the Revaluation Account is prepared before the capital accounts are closed.
Revaluation Account vs Realisation Account
| Point | Revaluation Account | Realisation Account |
|---|---|---|
| When prepared | Reconstitution — admission, retirement, death, change in ratio | Dissolution of the firm |
| What is recorded | Only the change in value of assets and liabilities | The full book value of assets and liabilities |
| Business afterwards | Continues with the same books | Comes to an end |
| How often | May be prepared many times in a firm’s life | Prepared once, at the very end |
| Result shared by | Old partners in the old ratio | All partners in their profit-sharing ratio |
Reserves, Accumulated Profits and Accumulated Losses
A firm’s balance sheet often carries profits that were earned but never distributed — a General Reserve, a credit balance of Profit and Loss Account, a Reserve Fund. It may equally carry losses that were suffered but never written off — a debit balance of Profit and Loss Account, or a Deferred Revenue Expenditure or Advertisement Suspense Account. All of these belong entirely to the old partners, because all of them arose before the newcomer arrived.
General Reserve A/c / Profit & Loss A/c … Dr.
To Old Partners’ Capital A/cs (old ratio)
Accumulated losses and fictitious assets:
Old Partners’ Capital A/cs … Dr. (old ratio)
To Profit & Loss A/c / Advertisement Suspense A/c
After these entries the reserve and the fictitious asset disappear from the balance sheet completely.
Two reserves need extra care because they are only partly free.
- Workmen Compensation Reserve. Keep back an amount equal to the claim and show it as a liability called Provision for Workmen Compensation Claim. Distribute only the balance. If the claim is larger than the reserve, the excess is a loss and goes to the debit side of the Revaluation Account.
- Investment Fluctuation Reserve. Keep back the fall in the market value of investments below their book value; distribute the rest.
General Reserve ₹30,000: Anil ₹18,000, Bhavna ₹12,000.
Workmen Compensation Reserve ₹12,000: hold back the claim of ₹5,000; free amount = ₹7,000 → Anil ₹4,200, Bhavna ₹2,800.
Profit and Loss (Dr) ₹10,000: Anil ₹6,000, Bhavna ₹4,000, both debited.
General Reserve A/c … Dr. ₹30,000
To Anil’s Capital A/c ₹18,000
To Bhavna’s Capital A/c ₹12,000
Workmen Compensation Reserve A/c … Dr. ₹12,000
To Provision for Workmen Compensation Claim A/c ₹5,000
To Anil’s Capital A/c ₹4,200
To Bhavna’s Capital A/c ₹2,800
Anil’s Capital A/c … Dr. ₹6,000
Bhavna’s Capital A/c … Dr. ₹4,000
To Profit & Loss A/c ₹10,000
Net effect on Anil = +18,000 + 4,200 − 6,000 = +₹16,200. On Bhavna = +12,000 + 2,800 − 4,000 = +₹10,800.
This is not a real asset at all — it is money already spent on advertising, waiting to be written off. It belongs to the old partners.
Anil = ₹15,000 × 3/5 = ₹9,000. Bhavna = ₹15,000 × 2/5 = ₹6,000.
Anil’s Capital A/c … Dr. ₹9,000
Bhavna’s Capital A/c … Dr. ₹6,000
To Advertisement Suspense A/c ₹15,000
(Being the accumulated loss written off to the old partners in the old ratio)
The item now vanishes from the assets side of the new balance sheet.
Why it works. Reserves are simply profits the partners chose not to withdraw. Letting the newcomer share them would be handing him money he never earned; letting him share the accumulated losses would be charging him for mistakes he was not present for. Clearing the slate before he arrives keeps both sides honest.
Adjustment of Capitals on Admission
Partners often agree that their capitals should stand in the same proportion as their profit shares. It feels fair: if you take one-fourth of the profit, you should have one-fourth of the money at risk. Questions ask for this in two clearly different flavours, and the whole trick is spotting which one you are looking at.
Total capital = combined adjusted capital of old partners × (1 ÷ combined share of old partners).
Flavour 2 — the old partners’ capitals are to be adjusted. The new partner’s capital is the anchor. Scale it up to the total capital of the new firm, then split that total in the new ratio. Compare each old partner’s adjusted capital with what it ought to be; the difference is brought in or withdrawn (or transferred to a current account if the question says so).
Lata takes 1/5, so Jaya and Kabir together keep 4/5.
Their combined adjusted capital ₹1,20,000 + ₹80,000 = ₹2,00,000 represents that 4/5.
Total capital of the new firm = ₹2,00,000 × 5/4 = ₹2,50,000.
Lata’s capital = ₹2,50,000 × 1/5 = ₹50,000.
Cross-check: after Lata brings ₹50,000, total capital is ₹2,50,000 and her ₹50,000 is exactly one-fifth of it ✓
Bank A/c … Dr. ₹50,000
To Lata’s Capital A/c ₹50,000
Total capital of the new firm, on the basis of Chetan’s capital = ₹60,000 × 4/1 = ₹2,40,000.
Anil should have = ₹2,40,000 × 9/20 = ₹1,08,000.
Bhavna should have = ₹2,40,000 × 6/20 = ₹72,000.
Chetan has = ₹2,40,000 × 5/20 = ₹60,000 ✓ (already correct)
Anil: ₹1,15,000 − ₹1,08,000 = ₹7,000 excess → withdraws ₹7,000.
Bhavna: ₹72,000 − ₹65,000 = ₹7,000 short → brings in ₹7,000.
Anil’s Capital A/c … Dr. ₹7,000
To Bank A/c ₹7,000
Bank A/c … Dr. ₹7,000
To Bhavna’s Capital A/c ₹7,000
Neat coincidence here: the two amounts cancel, so the bank balance is unchanged. That will not always happen — do not assume it.
Why it works. A profit-sharing ratio and a capital ratio are two different things, and the Partnership Act does not force them to match. When partners choose to make them match, all you are doing is solving a proportion. The only judgement call is deciding which figure the question treats as fixed — the old partners’ money or the new partner’s money. Read the sentence twice; the answer is always in the wording.
Partners’ Capital Accounts and the Reconstituted Balance Sheet
This is R6, the final step, and it is mostly bookkeeping discipline rather than new theory. The Partners’ Capital Accounts collect every adjustment you have made, and the reconstituted balance sheet displays the firm as it now stands.
Debit side: share of accumulated losses and fictitious assets, share of revaluation loss, goodwill debited to the incoming partner or to a gaining partner, drawings and cash withdrawn.
The closing balances of the capital accounts are the figures you carry to the liabilities side of the new balance sheet — nothing else.
Three quick checks before you call a balance sheet finished. First, the two sides must total the same figure. Second, the revised values from the Revaluation Account must appear on the assets and liabilities — not the old ones. Third, every reserve you distributed and every fictitious asset you wrote off must be gone.
Once you can close a set of capital accounts confidently, the same skill carries straight into the winding-up chapter, where every account is closed at once — see Retirement or Death of a Partner for the mirror-image treatment.
A Full Board-Style Question, Start to Finish
Here is a complete six-mark question worked through with the Six R’s, exactly as you would write it in the examination hall. Cover the solution, attempt it yourself, then compare line by line.
Liabilities: Creditors ₹60,000; Bills Payable ₹15,000; General Reserve ₹25,000; Workmen Compensation Reserve ₹10,000; Capitals — Aarav ₹1,50,000, Bhoomi ₹1,00,000. Total ₹3,60,000.
Assets: Cash at Bank ₹40,000; Debtors ₹70,000 less Provision for Doubtful Debts ₹4,000 = ₹66,000; Stock ₹54,000; Furniture ₹30,000; Building ₹1,50,000; Profit and Loss A/c (Dr.) ₹20,000. Total ₹3,60,000.
On 1 April 2026 Chirayu is admitted for a 1/4 share on these terms:
(a) Chirayu brings ₹1,00,000 as capital and ₹30,000 as premium for goodwill in cash.
(b) Building is to be appreciated by 20% and stock is to be reduced by ₹4,000.
(c) The provision for doubtful debts is to be raised to 6% of debtors.
(d) A claim on account of workmen compensation of ₹6,000 is admitted.
(e) An unrecorded creditor of ₹3,500 is to be brought into the books.
Prepare the Revaluation Account, the Partners’ Capital Accounts and the Balance Sheet of the reconstituted firm.
Aarav = 3/4 × 3/5 = 9/20. Bhoomi = 3/4 × 2/5 = 6/20. Chirayu = 5/20. New ratio 9 : 6 : 5.
Sacrifice: Aarav 12/20 − 9/20 = 3/20; Bhoomi 8/20 − 6/20 = 2/20. Sacrificing ratio 3 : 2.
R2 · Reserves.
General Reserve ₹25,000 → Aarav ₹15,000, Bhoomi ₹10,000.
Workmen Compensation Reserve ₹10,000 less claim ₹6,000 = ₹4,000 free → Aarav ₹2,400, Bhoomi ₹1,600.
Profit and Loss (Dr.) ₹20,000 → Aarav ₹12,000, Bhoomi ₹8,000, both debited.
R3 · Revalue.
Gains: Building ₹1,50,000 × 20% = ₹30,000.
Losses: Stock ₹4,000; extra provision (6% of ₹70,000 = ₹4,200, less existing ₹4,000) = ₹200; unrecorded creditor ₹3,500. Total losses ₹7,700.
Profit on revaluation = ₹30,000 − ₹7,700 = ₹22,300.
Aarav = ₹22,300 × 3/5 = ₹13,380. Bhoomi = ₹22,300 × 2/5 = ₹8,920.
R4 · Reward. Premium ₹30,000 in sacrificing ratio 3:2 → Aarav ₹18,000, Bhoomi ₹12,000.
R5 · Receive. Bank rises by ₹1,00,000 + ₹30,000 = ₹1,30,000, so Bank = ₹40,000 + ₹1,30,000 = ₹1,70,000.
R6 · Report — Capital Accounts.
Aarav: 1,50,000 + 18,000 + 13,380 + 15,000 + 2,400 − 12,000 = ₹1,86,780.
Bhoomi: 1,00,000 + 12,000 + 8,920 + 10,000 + 1,600 − 8,000 = ₹1,24,520.
Chirayu: ₹1,00,000. Total capitals = ₹4,11,300.
Balance Sheet as at 1 April 2026
Liabilities: Creditors ₹60,000 + ₹3,500 = ₹63,500; Bills Payable ₹15,000; Provision for Workmen Compensation Claim ₹6,000; Capitals — Aarav ₹1,86,780, Bhoomi ₹1,24,520, Chirayu ₹1,00,000. Total ₹4,95,800.
Assets: Cash at Bank ₹1,70,000; Debtors ₹70,000 less Provision ₹4,200 = ₹65,800; Stock ₹50,000; Furniture ₹30,000; Building ₹1,80,000. Total ₹4,95,800.
Both sides agree at ₹4,95,800 ✓ The General Reserve, the Workmen Compensation Reserve and the debit balance of Profit and Loss Account have all disappeared, exactly as they should.
Why it works. Look back at the solution and notice that you never once had to decide what to do next — the Six R’s decided for you. That is the whole point of a routine. In an examination you are not being tested on cleverness; you are being tested on whether you can apply a fixed sequence calmly under time pressure. Build the routine now, and the pressure takes care of itself.
Practice Worksheet
Eleven original questions covering every sub-topic above. Work each one on paper first, then open the answer. Marking yourself honestly is the whole exercise.
Q1. Aditi and Bharat share profits in the ratio 4:3. Chandan is admitted for a 1/5 share, which he acquires equally from Aditi and Bharat. Find the new profit-sharing ratio.
Show Answer
Aditi = 4/7 − 1/10 = 40/70 − 7/70 = 33/70.
Bharat = 3/7 − 1/10 = 30/70 − 7/70 = 23/70.
Chandan = 1/5 = 14/70.
New ratio = 33 : 23 : 14. Check: 33 + 23 + 14 = 70 ✓
Q2. Xavier and Yash share profits 3:2. Zara is admitted for a 1/6 share; nothing is said about who surrenders what. Find the new ratio and the sacrificing ratio.
Show Answer
Xavier = 5/6 × 3/5 = 15/30. Yash = 5/6 × 2/5 = 10/30. Zara = 5/30.
New ratio = 3 : 2 : 1.
Sacrifice: Xavier 18/30 − 15/30 = 3/30; Yash 12/30 − 10/30 = 2/30.
Sacrificing ratio = 3 : 2, which is the old ratio — exactly as the rule for a silent question predicts.
Q3. Pooja, Qamar and Ritu share profits 5:3:2. Sameer is admitted and the new ratio is agreed at 5:3:2:2. Compute the sacrificing ratio.
Show Answer
Pooja: 30/60 − 25/60 = 5/60. Qamar: 18/60 − 15/60 = 3/60. Ritu: 12/60 − 10/60 = 2/60.
Sacrificing ratio = 5 : 3 : 2.
Check: total sacrifice 10/60 = 1/6, and Sameer’s share is 2/12 = 1/6 ✓
Q4. Ashok and Beena share profits 3:1. Chaya is admitted for a 1/4 share and brings ₹40,000 as capital and ₹16,000 as premium for goodwill in cash. The partners withdraw half of the premium. Pass the journal entries.
Show Answer
Bank A/c Dr. ₹56,000 — To Chaya’s Capital A/c ₹40,000; To Premium for Goodwill A/c ₹16,000.
Premium for Goodwill A/c Dr. ₹16,000 — To Ashok’s Capital A/c ₹12,000; To Beena’s Capital A/c ₹4,000.
Ashok’s Capital A/c Dr. ₹6,000; Beena’s Capital A/c Dr. ₹2,000 — To Bank A/c ₹8,000.
Closing bank effect = ₹56,000 − ₹8,000 = ₹48,000 net increase.
Q5. After all adjustments, Dev’s capital is ₹2,10,000 and Esha’s is ₹1,40,000; they share profits 3:2 and sacrifice in that ratio. Farida is admitted for a 1/4 share and brings ₹1,40,000 as capital but nothing for goodwill. Compute the hidden goodwill and pass the entry.
Show Answer
Actual combined capital = ₹2,10,000 + ₹1,40,000 + ₹1,40,000 = ₹4,90,000.
Hidden goodwill of the firm = ₹70,000.
Farida’s share = ₹70,000 × 1/4 = ₹17,500.
Dev = ₹17,500 × 3/5 = ₹10,500. Esha = ₹17,500 × 2/5 = ₹7,000.
Farida’s Current A/c Dr. ₹17,500 — To Dev’s Capital A/c ₹10,500; To Esha’s Capital A/c ₹7,000.
Q6. Girish and Hema share profits 3:2. On admitting a new partner: land of ₹2,00,000 is appreciated by 15%; stock of ₹50,000 is revalued at ₹46,000; the provision for doubtful debts is to be 5% of debtors of ₹80,000 against an existing provision of ₹1,500; creditors of ₹40,000 include ₹1,800 no longer payable; outstanding salary of ₹2,300 is to be recorded. Find the revaluation profit or loss and each partner’s share.
Show Answer
Losses: stock ₹4,000; extra provision (₹4,000 − ₹1,500) = ₹2,500; outstanding salary ₹2,300. Total = ₹8,800.
Profit on revaluation = ₹31,800 − ₹8,800 = ₹23,000.
Girish = ₹23,000 × 3/5 = ₹13,800. Hema = ₹23,000 × 2/5 = ₹9,200.
Q7. Ira, Jatin and Kavya share profits 2:2:1. Their books show a General Reserve of ₹45,000, a Workmen Compensation Reserve of ₹20,000 against which a claim of ₹8,000 is admitted, and an Advertisement Suspense Account of ₹15,000 on the assets side. Show the distribution on the admission of a new partner.
Show Answer
Workmen Compensation Reserve: hold back ₹8,000 as a liability; free amount ₹12,000 → Ira ₹4,800, Jatin ₹4,800, Kavya ₹2,400 (credited).
Advertisement Suspense ₹15,000 → Ira ₹6,000, Jatin ₹6,000, Kavya ₹3,000 (debited).
Net effect: Ira +₹16,800, Jatin +₹16,800, Kavya +₹8,400.
Q8. After all adjustments Lalit’s capital is ₹1,80,000 and Manju’s is ₹1,20,000; they share profits 3:2. Naveen is admitted for a 1/6 share and must bring capital proportionate to his share. How much must Naveen bring in?
Show Answer
Total capital of the new firm = ₹3,00,000 × 6/5 = ₹3,60,000.
Naveen’s capital = ₹3,60,000 × 1/6 = ₹60,000.
Check: ₹60,000 ÷ ₹3,60,000 = 1/6 ✓
Q9. Omkar and Payal share profits 3:2. Rakesh is admitted for a 1/5 share and brings ₹75,000 as capital. The partners agree that the capitals of Omkar and Payal should be proportionate to the new profit-sharing ratio, based on Rakesh’s capital, with any difference settled in cash. After all other adjustments Omkar’s capital is ₹1,92,000 and Payal’s is ₹1,11,000. Compute the adjustment.
Show Answer
Total capital = ₹75,000 × 5 = ₹3,75,000.
Omkar should have ₹3,75,000 × 12/25 = ₹1,80,000; Payal ₹3,75,000 × 8/25 = ₹1,20,000.
Omkar: ₹1,92,000 − ₹1,80,000 = withdraws ₹12,000.
Payal: ₹1,20,000 − ₹1,11,000 = brings in ₹9,000.
Check: 1,80,000 + 1,20,000 + 75,000 = ₹3,75,000 ✓
Q10. Sunil and Tanya share profits 3:2 and sacrifice in that ratio. Uday is admitted for a 1/5 share. The goodwill of the firm is valued at ₹2,00,000, but Uday brings only ₹25,000 towards his share of goodwill. Pass the necessary journal entry.
Show Answer
Sunil = ₹40,000 × 3/5 = ₹24,000. Tanya = ₹40,000 × 2/5 = ₹16,000.
Bank A/c Dr. ₹25,000 — To Premium for Goodwill A/c ₹25,000.
Premium for Goodwill A/c Dr. ₹25,000; Uday’s Current A/c Dr. ₹15,000 — To Sunil’s Capital A/c ₹24,000; To Tanya’s Capital A/c ₹16,000.
Check: debits ₹40,000 = credits ₹40,000 ✓
Q11. State two differences between the sacrificing ratio and the gaining ratio, and explain why a Goodwill Account is not opened when a new partner brings his share of goodwill in cash.
Show Answer
Why no Goodwill Account: the goodwill of a running firm is self-generated, and AS 26 — Intangible Assets permits an intangible asset to be recorded only when it has actually been purchased for a consideration. The premium is therefore routed through a temporary Premium for Goodwill Account straight into the sacrificing partners’ capital accounts, and never appears as an asset in the balance sheet.
One more idea for the road. Every time you sit down with this chapter, do not aim to finish it — aim to be one small step better than yesterday: one more question attempted without looking, one fewer arithmetic slip, one ratio checked instead of assumed. That is kaizen, continuous small improvement, and over a term it beats any amount of last-week panic.

