★ India’s Student Guidance Platform

Admission of a Partner — Class 12 Accountancy Notes & Practice

Admission of a Partner — Class 12 Accountancy Notes & Practice

Take a breath. Admission of a Partner looks frightening the first time you see it — a page full of adjustments, three or four ledger accounts, and a Balance Sheet that has to tie to the last rupee. But here is the honest truth: this chapter is not hard, it is just long. Every question is the same six steps in the same order, every single time. Once those six steps become muscle memory, you will finish a six-mark admission question faster than most people finish a three-mark theory answer. And it is worth the effort: Accounting for Partnership Firms carries 36 of the 80 theory marks in Class 12 Accountancy, and admission is usually the single biggest numerical on the paper — typically a 6-mark full question, often with a 3-mark or 4-mark sub-question sitting beside it. Let us walk through it together, slowly, from zero.

🎯 Try This
Imagine two friends run a tuition business and a third wants to join with a cash investment; discuss what share of profit would be fair to offer the new partner and why. (15-20 min)

Your Game Plan

  1. Spend one full sitting on ratios alone — new ratio and sacrificing ratio. Do not touch goodwill until fractions feel easy.
  2. Then learn goodwill in four separate flavours: brought in cash, brought in kind, not brought in, and hidden. Learn them one at a time.
  3. Then Revaluation Account on its own. Then reserves on their own. Both are short and mechanical.
  4. Then capital adjustment — the step most students skip and then lose 2 marks on.
  5. Only now attempt a full question. Give yourself 20 minutes, then 15, then 12.
  6. Finish with the worksheet at the bottom. Check the Balance Sheet totals every single time; if they do not tie, hunt the error before you look at the answer.

What Admission Really Changes — And the Six-Step Routine

Think of a partnership firm as a shared flat. Two friends have been splitting the rent, the bills and the leftover pizza in a fixed proportion for years. Now a third friend wants to move in. Nothing about the flat itself has changed — same walls, same furniture — but almost every arrangement has to be re-negotiated. Who gets how much space? What does the new person pay for the fact that the flat is already set up, already has a reputation with the landlord, already has working wi-fi? Are the old shared savings in the tin box the property of the original two, or of all three?

That re-negotiation is exactly what accountants call reconstitution. The firm carries on — it is not dissolved — but the old agreement ends and a new one begins. Admission of a partner is one of four ways a firm gets reconstituted (the others are a change in ratio among existing partners, retirement, and death).

Key Idea — Why every adjustment exists
Every single adjustment on admission answers one question: “Does this rupee belong to the old partners alone, or to the new firm?” Anything earned, saved or lost before the new partner walked in belongs only to the old partners. So it must be settled and cleared out of the books first, in the old ratio. That is the whole logic. Goodwill, reserves, revaluation gains — all of them are just “old business” being handed to the old partners before the doors open on the new firm.

Section 31 of the Indian Partnership Act, 1932 says a person can be admitted as a partner only with the consent of all existing partners, unless the deed says otherwise. On admission, the incoming partner gets two rights — the right to share in future profits, and the right to share in the assets of the firm.

And here is the routine. Six steps. Learn the order, not just the steps — the order is what keeps your Balance Sheet honest.

StepWhat you doWhich ratio you use
1Work out the new profit-sharing ratio
2Work out the sacrificing ratioOld share minus new share
3Treat goodwill (premium)Sacrificing ratio
4Revalue assets, reassess liabilitiesOld ratio
5Distribute accumulated profits, reserves, lossesOld ratio
6Adjust capitals, then draw the new Balance SheetNew ratio
Exam Tip — Three ratios, three jobs
Goodwill uses the sacrificing ratio. Revaluation and reserves use the old ratio. Future profits and capital adjustment use the new ratio. Write these three lines at the top of your rough column before you start any admission question. It takes eight seconds and it prevents the most expensive mistake in this chapter.

↑ Back to top

Calculating the New Profit-Sharing Ratio

The new profit-sharing ratio is simply the proportion in which all the partners — old and new — will divide profits from the day of admission onward. Picture a chapati. Before admission, two people share the whole chapati. After admission, the new partner takes a piece off it, and the old partners keep what is left. The total is still one chapati. That is the only rule you can never break: all the shares must add up to 1.

Questions give you the information in one of four ways. Learn to recognise which one you are looking at — that recognition is 80% of the work.

The question says…What you do
Nothing about how old partners will share (or “they will continue to share in their old ratio”)Give the new partner his share; split the remainder in the old ratio
The new partner acquires stated fractions from named partnersSubtract each stated fraction from that partner’s old share
Old partners “surrender” a fraction of their own shareSacrifice = fraction × that partner’s own old share
The new ratio of everyone is stated outrightNothing to calculate — go straight to sacrificing ratio
Example 1 — The simplest case: old ratio carries on
Anita and Bharat share profits 3 : 2. Chirag is admitted for 1/5 share. Find the new ratio.

Chirag takes 1/5. What is left for Anita and Bharat is 1 − 1/5 = 4/5, and they divide that 4/5 in their old ratio 3 : 2.

Anita = 3/5 × 4/5 = 12/25
Bharat = 2/5 × 4/5 = 8/25
Chirag = 1/5 = 5/25

Check: 12/25 + 8/25 + 5/25 = 25/25 = 1. ✔
New ratio = 12 : 8 : 5.
Example 2 — New partner buys stated fractions
Asha and Bilal share 5 : 3. Chandni is admitted for 1/4 share, which she acquires 3/16 from Asha and 1/16 from Bilal.

First, a sanity check on the question itself: 3/16 + 1/16 = 4/16 = 1/4. ✔ The pieces she buys do add up to the share she is promised.

Asha = 5/8 − 3/16 = 10/16 − 3/16 = 7/16
Bilal = 3/8 − 1/16 = 6/16 − 1/16 = 5/16
Chandni = 4/16

Check: 7 + 5 + 4 = 16. ✔
New ratio = 7 : 5 : 4. Notice how the shares she bought (3/16 and 1/16) are exactly the sacrifices — sacrificing ratio 3 : 1.
Example 3 — “Surrenders a fraction of his share” (the trap)
Amit and Basanti share 3 : 2. Chetan is admitted. Amit surrenders 1/4 of his share and Basanti surrenders 1/5 of her share in favour of Chetan. Find the new ratio and Chetan’s share.

The words “of his share” are doing all the work here. Amit is not giving up 1/4 of the firm — he is giving up a quarter of his own 3/5.

Amit sacrifices = 1/4 × 3/5 = 3/20 = 15/100
Basanti sacrifices = 1/5 × 2/5 = 2/25 = 8/100
Chetan’s share = 15/100 + 8/100 = 23/100

Amit = 3/5 − 3/20 = 60/100 − 15/100 = 45/100
Basanti = 2/5 − 2/25 = 40/100 − 8/100 = 32/100

Check: 45 + 32 + 23 = 100. ✔
New ratio = 45 : 32 : 23, sacrificing ratio = 15 : 8.
Common Mistake — “1/4 share” vs “1/4 of his share”
These are completely different. “Chetan gets 1/4 share” means 1/4 of the whole firm. “Amit surrenders 1/4 of his share” means 1/4 × Amit’s own fraction. Students who miss the words “of his share” get every subsequent number wrong — ratio, goodwill, capital adjustment, all of it. Underline those four words in the question paper.

Why it works: a profit-sharing ratio is nothing but a set of fractions of the same whole. Whenever you are unsure, convert everything to a common denominator and check that the numerators add up to that denominator. If they do not, you have made an arithmetic slip — go back before you write a single journal entry, because every later figure depends on this.

↑ Back to top

Sacrificing Ratio (And the Odd Case of a Gaining Partner)

The new partner’s share has to come from somewhere. It comes out of the old partners’ pockets. The amount each old partner gives up is called the sacrifice, and the proportion in which they give up is the sacrificing ratio.

Key Rule — The one formula for this section
Sacrificing Share = Old Share − New Share
If the answer is positive, that partner has sacrificed and will be credited with goodwill. If the answer is negative, that partner has actually gained and will be debited. The total sacrifice (net of any gain) always equals the new partner’s share.

Why does this matter so much? Because the premium the new partner pays for goodwill is compensation. It is compensation to the people who gave something up. So the money must be shared out in exactly the proportion in which the giving-up happened — not in the old ratio, not in the new ratio, but in the sacrificing ratio. In many easy questions the sacrificing ratio happens to be identical to the old ratio (as in Example 1), and that coincidence lulls students into thinking the rule is “old ratio”. It is not.

Example 4 — Three old partners, new ratio given outright
Aarav, Bela and Chirag share 4 : 3 : 2. Divya is admitted for 1/5 share and the new ratio of Aarav, Bela, Chirag and Divya is agreed at 5 : 4 : 3 : 3. Calculate the sacrificing ratio.

First confirm Divya really gets 1/5: total parts = 5 + 4 + 3 + 3 = 15, so Divya = 3/15 = 1/5. ✔

Now put old and new shares on a common denominator. Old shares are in ninths, new shares in fifteenths — LCM is 45.

Aarav: old 4/9 = 20/45, new 5/15 = 15/45 → sacrifice 5/45
Bela: old 3/9 = 15/45, new 4/15 = 12/45 → sacrifice 3/45
Chirag: old 2/9 = 10/45, new 3/15 = 9/45 → sacrifice 1/45

Total sacrifice = 9/45 = 1/5 = Divya’s share. ✔ That cross-check is free and it catches almost every slip.
Sacrificing ratio = 5 : 3 : 1.
Example 5 — When an old partner GAINS on admission
Arun and Bhavna share 3 : 2. Chetna is admitted for 1/4 share and the new ratio is agreed at 13 : 2 : 5. Goodwill of the firm is valued at ₹2,00,000. Show the treatment.

Total parts = 13 + 2 + 5 = 20, so Chetna gets 5/20 = 1/4. ✔

Arun: old 3/5 = 12/20, new 13/20 → 12/20 − 13/20 = −1/20, a GAIN of 1/20
Bhavna: old 2/5 = 8/20, new 2/20 → sacrifice 6/20

Net: 6/20 − 1/20 = 5/20 = 1/4 = Chetna’s share. ✔ Arun has quietly bought a slice from Bhavna too, so Arun must pay for it.

Chetna’s share of goodwill = 1/4 × 2,00,000 = ₹50,000
Arun’s gain = 1/20 × 2,00,000 = ₹10,000 (he must pay this)
Bhavna’s total credit = 6/20 × 2,00,000 = ₹60,000

Check: 50,000 + 10,000 = 60,000. ✔
DateParticularsL.F.Dr (₹)Cr (₹)
(i)Premium for Goodwill A/c   Dr.
Arun’s Capital A/c   Dr.
    To Bhavna’s Capital A/c
(Goodwill credited to the sacrificing partner; gaining partner debited)
50,000
10,000


60,000
Exam Tip — Always take the cross-check
After computing sacrifices, add them up. The total must equal the incoming partner’s share exactly. If it does not, either your new ratio is wrong or your arithmetic is. Thirty seconds of checking here saves five marks later, because goodwill, capital accounts and the Balance Sheet all sit on top of this number.

Why it works: the firm’s future profit is a fixed cake. If the new partner takes a slice, the sum of what the old partners lose must equal exactly that slice. An old partner whose new share is bigger than his old share has not lost anything — he has bought something extra, so accounting makes him pay, just like the incoming partner does.

↑ Back to top

Goodwill on Admission and the AS 26 Rule

Suppose your neighbourhood has two identical sweet shops. Same size, same equipment, same rent. One has been there thirty years and has a queue outside every Diwali; the other opened last month. If you were buying, you would happily pay more for the first one — and that extra amount you would pay, over and above the value of the physical stuff, is goodwill. It is the value of reputation, of regular customers, of a name people trust.

When a new partner joins an established firm, he immediately starts earning from a reputation he did nothing to build. So he compensates the old partners for it. That compensation is called premium for goodwill. If the idea of valuing goodwill still feels shaky, revise Goodwill and Change in Profit-Sharing Ratio first — admission simply reuses the same valuation methods.

Key Rule — AS 26 in one line
Under Accounting Standard 26 (Intangible Assets), goodwill can be recorded in the books only when it is purchased — that is, only when money was actually paid for it. Self-generated goodwill is never brought into the books. So on admission you must never pass “Goodwill A/c Dr. To Old Partners’ Capital A/cs”. The premium goes straight to the sacrificing partners’ capital accounts, and no Goodwill asset appears on the new Balance Sheet.

There is one consequence students often forget. If the old Balance Sheet already shows a Goodwill account on its assets side (recorded in some earlier year, perhaps wrongly) — do not confuse this old asset with the premium the new partner brings; they are two different things, it must be wiped out first, among the old partners, in their old ratio, before any admission adjustment happens:

DateParticularsL.F.Dr (₹)Cr (₹)
(a)Old Partners’ Capital A/cs   Dr. (in old ratio)
    To Goodwill A/c
(Existing goodwill written off as required by AS 26)

After that, there are exactly four situations you can meet in an exam. Nothing else exists. Here they are side by side, and the next four sections take them one at a time.

SituationCore treatment
Premium brought in cashBank Dr., then Premium for Goodwill A/c distributed in sacrificing ratio
Premium brought in kind (asset)Debit the asset instead of Bank; rest is identical
Premium not brought in (or partly)Debit new partner’s Current A/c for the unpaid part
Goodwill not given at all (hidden)Derive it from the capitals, then debit new partner’s Capital A/c

↑ Back to top

Premium for Goodwill Brought in Cash

This is the friendliest version and it appears constantly. The new partner hands over two separate sums: his capital, and his premium for goodwill. Two sums, but usually one cheque — so the entry has one debit and two credits.

Example 6 — Premium in cash, retained in the business
Amrita and Bikram share 3 : 2. Chaya is admitted for 1/4 share. She brings ₹1,20,000 as capital and ₹40,000 as her share of premium for goodwill, both by cheque. The old partners continue to share between themselves in their old ratio. Pass the journal entries.

Sacrificing ratio: since the old partners keep their mutual ratio, sacrifice is in the old ratio 3 : 2.
Amrita = 40,000 × 3/5 = ₹24,000    Bikram = 40,000 × 2/5 = ₹16,000   (24,000 + 16,000 = 40,000 ✔)
DateParticularsL.F.Dr (₹)Cr (₹)
(i)Bank A/c   Dr.
    To Chaya’s Capital A/c
    To Premium for Goodwill A/c
(Capital and premium brought in by Chaya)
1,60,000
1,20,000
40,000
(ii)Premium for Goodwill A/c   Dr.
    To Amrita’s Capital A/c
    To Bikram’s Capital A/c
(Premium distributed in sacrificing ratio 3 : 2)
40,000
24,000
16,000
The Premium for Goodwill A/c is only a temporary parking spot — it opens with a credit and closes with a debit of the same amount, so it never appears on the Balance Sheet.

↑ Back to top

Premium Brought in Kind, and Premium Withdrawn

Sometimes the incoming partner does not have the whole amount in cash. He brings furniture, stock, a delivery van, machinery. Do not panic — nothing changes except the name of the account you debit. Money in, or goods in, it is still value coming into the firm.

The second twist in this section is withdrawal. The old partners may choose to take the premium home instead of leaving it in the firm. That is entirely their right — the premium is their personal compensation. When they withdraw it, their capital accounts are debited and Bank is credited.

Example 7 — Capital partly in kind, premium half withdrawn
Xavier and Yamini share 2 : 1. Zoya is admitted for 1/4 share. She brings ₹3,00,000 as capital — ₹2,40,000 by cheque and furniture valued at ₹60,000 — and ₹90,000 in cash as premium for goodwill. The old partners withdraw half the premium. Pass the journal entries.

Capital check: 2,40,000 + 60,000 = 3,00,000 ✔
Sacrificing ratio = old ratio 2 : 1. Xavier = 90,000 × 2/3 = ₹60,000; Yamini = 90,000 × 1/3 = ₹30,000.
Half withdrawn: Xavier ₹30,000, Yamini ₹15,000, total cash out ₹45,000.
DateParticularsL.F.Dr (₹)Cr (₹)
(i)Bank A/c   Dr.
Furniture A/c   Dr.
    To Zoya’s Capital A/c
(Capital brought in partly in cash and partly in kind)
2,40,000
60,000


3,00,000
(ii)Bank A/c   Dr.
    To Premium for Goodwill A/c
(Premium for goodwill brought in cash)
90,000
90,000
(iii)Premium for Goodwill A/c   Dr.
    To Xavier’s Capital A/c
    To Yamini’s Capital A/c
(Premium credited in sacrificing ratio 2 : 1)
90,000
60,000
30,000
(iv)Xavier’s Capital A/c   Dr.
Yamini’s Capital A/c   Dr.
    To Bank A/c
(Half of the premium withdrawn by old partners)
30,000
15,000


45,000
Common Mistake — Withdrawing goodwill that was never brought in
Old partners can only withdraw premium that actually came in as cash or bank. If the incoming partner did not bring the premium in cash, there is no cash to withdraw. Read the withdrawal clause carefully: “the old partners withdraw 50% of the premium” always refers to 50% of the amount received.

↑ Back to top

When Goodwill Is Not Brought In, or Only Partly

Imagine you order chai for the table and your friend says, “I will pay you later.” The chai still happened; the debt is still real. That is exactly what happens when the new partner cannot bring his share of goodwill in cash. The old partners are still entitled to it, so we still credit them — and we record the new partner’s promise by debiting his Current Account.

Key Rule — Current Account, not Capital Account
When the premium is not brought in (fully or partly) but the goodwill figure is given in the question, debit the new partner’s Current A/c, because his agreed capital contribution stays untouched. A debit balance in his Current A/c then appears on the assets side of the new Balance Sheet — it is money the firm is owed.
Example 8 — Premium brought in only partly
Anil and Beena share 3 : 2. Chirag is admitted for 1/5 share. The goodwill of the firm is valued at ₹1,50,000, but Chirag is able to bring in only ₹18,000 towards his share of goodwill. Pass the necessary entry.

Chirag’s share of goodwill = 1/5 × 1,50,000 = ₹30,000
Brought in cash = ₹18,000; unpaid = 30,000 − 18,000 = ₹12,000 (debit his Current A/c)

Sacrificing ratio 3 : 2, so the ₹30,000 goes: Anil = 30,000 × 3/5 = ₹18,000; Beena = 30,000 × 2/5 = ₹12,000.
Cross-check: debits 18,000 + 12,000 = 30,000 = credits 18,000 + 12,000. ✔
DateParticularsL.F.Dr (₹)Cr (₹)
(i)Bank A/c   Dr.
    To Premium for Goodwill A/c
(Part of premium brought in cash)
18,000
18,000
(ii)Premium for Goodwill A/c   Dr.
Chirag’s Current A/c   Dr.
    To Anil’s Capital A/c
    To Beena’s Capital A/c
(Chirag’s full share of goodwill credited to sacrificing partners 3 : 2)
18,000
12,000


18,000
12,000
If Chirag had brought in nothing, entry (i) would simply disappear and his Current A/c would be debited with the full ₹30,000.

↑ Back to top

Hidden Goodwill

This one feels like magic the first time and then becomes obvious. The question never mentions goodwill at all. It just tells you the capitals, and tells you what the new partner brought in. Your job is to notice that he has paid more than his fair share of the firm’s visible capital — and that extra is goodwill hiding in plain sight.

Here is the everyday version. Three friends pool money for a food stall. The stall’s visible worth is ₹9,00,000. A fourth friend wants one quarter of the business and cheerfully pays ₹3,50,000. Why would he pay ₹3,50,000 for a quarter of ₹12,50,000 worth of stall? He would not — unless he believed the business is worth more than its visible assets. That belief has a name: goodwill.

Key Rule — The three-line method for hidden goodwill
1. Implied total capital of the new firm = New partner’s capital ÷ his share.
2. Actual combined capital = old partners’ capitals after all adjustments (revaluation, reserves, accumulated losses) + new partner’s capital.
3. Hidden goodwill = Step 1 − Step 2. The new partner’s share of it is then debited to his Capital A/c and credited to the sacrificing partners.
Exam Tip — Adjust FIRST, then find the hidden goodwill
Step 2 says “after all adjustments” and it means it. Revaluation profit or loss and the distribution of reserves must be put through the old partners’ capitals before you compare. If you compare with the opening capitals, the hidden goodwill figure will be wrong — and so will everything after it.
Example 9 — Hidden goodwill from the capitals
Prakash and Qadir are partners sharing 3 : 2 with capitals of ₹4,00,000 and ₹3,00,000. There are no reserves and no revaluation. Ramesh is admitted for 1/4 share and brings ₹3,00,000 as his capital. He is unable to bring anything for goodwill. Calculate the hidden goodwill and pass the entry.

Step 1. Ramesh pays ₹3,00,000 for 1/4 share, so on his own valuation the whole firm is worth
₹3,00,000 × 4 = ₹12,00,000

Step 2. Combined capital actually in the firm
= 4,00,000 + 3,00,000 + 3,00,000 = ₹10,00,000

Step 3. Hidden goodwill = 12,00,000 − 10,00,000 = ₹2,00,000

Ramesh’s share of goodwill = 1/4 × 2,00,000 = ₹50,000
Sacrificing ratio 3 : 2 → Prakash ₹30,000, Qadir ₹20,000. (30,000 + 20,000 = 50,000 ✔)
DateParticularsL.F.Dr (₹)Cr (₹)
(i)Ramesh’s Capital A/c   Dr.
    To Prakash’s Capital A/c
    To Qadir’s Capital A/c
(Ramesh’s share of hidden goodwill adjusted in sacrificing ratio 3 : 2)
50,000
30,000
20,000
Notice the debit goes to Ramesh’s Capital A/c here, not his Current A/c, because this firm maintains fluctuating capitals — the default in a board question unless the paper says otherwise. If the question states that the partners keep fixed capitals, the very same debit of ₹50,000 goes to Ramesh’s Current A/c instead; the amount and both credits stay exactly the same.

Why it works: a partner who pays for 1/4 of a business is, in effect, telling you what he thinks 4/4 of it is worth. Multiply his cheque by the reciprocal of his share and you have his valuation of the whole firm. Anything above the book capital must be the intangible bit — the reputation the old partners built.

↑ Back to top

Revaluation of Assets and Reassessment of Liabilities

Book values go stale. A building bought in 2011 sits in the books at cost; the market may have doubled it. Stock may have spoiled. A supplier may have quietly written off a bill. If the new partner walks in while all of that is unrecorded, he would either scoop up gains he never earned or absorb losses he never caused. So before he joins, the firm gives its own books an honest health check. That check is the Revaluation Account, sometimes called the Profit and Loss Adjustment Account.

Key Rule — Which side does it go on?
Revaluation Account is a nominal account, so the ordinary rule applies: losses and expenses on the debit side, gains and incomes on the credit side.

Debit side (losses): assets that fall in value, new or increased provisions, liabilities that rise, unrecorded liabilities now brought in.
Credit side (gains): assets that rise in value, unrecorded assets brought in, liabilities that fall or are written back as no longer payable.

The balancing figure is profit or loss on revaluation, and it goes to the OLD partners in the OLD ratio.
Example 10 — A full Revaluation Account
Neha and Omar share 3 : 2. On the admission of a new partner it is agreed that: (a) Land and Building, standing at ₹4,20,000, is to be valued at ₹5,00,000; (b) Stock of ₹80,000 is to be reduced to ₹72,000; (c) Furniture of ₹1,20,000 is to be depreciated by 10%; (d) a provision for doubtful debts of 5% is to be created on debtors of ₹1,60,000 (there is no existing provision); (e) creditors of ₹90,000 include ₹6,000 no longer payable; (f) an outstanding salary of ₹4,000 is unrecorded. Prepare the Revaluation Account.

Work each figure out before you write anything:
Land and Building gain = 5,00,000 − 4,20,000 = ₹80,000 (credit)
Stock loss = 80,000 − 72,000 = ₹8,000 (debit)
Furniture = 10% of 1,20,000 = ₹12,000 (debit)
Provision = 5% of 1,60,000 = ₹8,000 (debit)
Creditors written back = ₹6,000 (credit)
Outstanding salary = ₹4,000 (debit)
REVALUATION ACCOUNT
Dr.   ParticularsAmount (₹)ParticularsAmount (₹)   Cr.
To Stock A/c8,000By Land and Building A/c80,000
To Furniture A/c12,000By Creditors A/c6,000
To Provision for Doubtful Debts A/c8,000
To Outstanding Salary A/c4,000
To Profit transferred to:
  Neha’s Capital A/c  32,400
  Omar’s Capital A/c  21,600


54,000
Total86,000Total86,000
Profit on revaluation = 86,000 − 32,000 = ₹54,000, shared 3 : 2 → Neha ₹32,400, Omar ₹21,600. Check: 32,400 + 21,600 = 54,000 ✔
Common Mistake — Provisions: only the CHANGE goes to Revaluation
If a provision for doubtful debts of ₹10,000 already exists and the new requirement is ₹12,000, only the extra ₹2,000 is a revaluation loss — not ₹12,000. And if the required provision is lower than the existing one, the difference is a revaluation gain. Watch the wording too: if the paper says the provision is to be brought up to 5%, you compare with the existing provision and pass only the difference; if it says a provision is to be created at 5%, you work it out fresh and ignore whatever was there before. In the Balance Sheet, however, always show the full new provision deducted from debtors.
Good to Know — Revalued figures do go into the new Balance Sheet
Unlike a “memorandum” revaluation (which you meet only in higher study), the ordinary Revaluation Account you prepare here actually changes the books. So the new Balance Sheet must show Land and Building at ₹5,00,000, Stock at ₹72,000, Furniture at ₹1,08,000, Creditors at ₹84,000, and so on.

↑ Back to top

Accumulated Profits, Reserves and Losses

Reserves are past profits the partners chose not to withdraw — money left in the tin box from earlier years. Accumulated losses are the opposite. Either way, they were earned or suffered before the new partner arrived, so they belong entirely to the old partners and must be cleared out in the old ratio.

ItemWhere it sitsTreatment on admission
General Reserve / Reserve FundLiabilities sideCredit old partners’ capitals in old ratio
Profit and Loss A/c (Cr. balance)Liabilities sideCredit old partners’ capitals in old ratio
Profit and Loss A/c (Dr. balance)Assets sideDebit old partners’ capitals in old ratio
Advertisement Suspense / Deferred Revenue ExpenditureAssets sideDebit old partners’ capitals in old ratio
Workmen Compensation ReserveLiabilities sideKeep back the claim as a liability; distribute only the surplus
Investment Fluctuation ReserveLiabilities sideAbsorb the fall in investment value; distribute only the surplus

The last two deserve a moment. A Workmen Compensation Reserve is money set aside in case workers have to be compensated. If a claim of ₹15,000 has actually arisen, that ₹15,000 is no longer the partners’ money — it is owed to the workers, and it stays on the Balance Sheet as Workmen Compensation Claim. Only what is left over is distributable. If the claim exceeds the reserve, the shortfall is a revaluation loss.

An Investment Fluctuation Reserve works the same way against a fall in the market value of investments. Reduce the investments to market value, absorb the fall out of the reserve, and share only the balance. If the fall is bigger than the reserve, the excess goes to the Revaluation Account as a loss.

Example 11 — Every reserve item in one go
Sudha and Tarun share 3 : 2. On the admission of a new partner their books show: General Reserve ₹60,000; Workmen Compensation Reserve ₹40,000 against which a claim of ₹15,000 is admitted; Investment Fluctuation Reserve ₹20,000 with investments costing ₹1,00,000 now worth ₹92,000; Profit and Loss A/c (Dr.) ₹25,000; Advertisement Suspense A/c ₹15,000. Show the distribution.

General Reserve ₹60,000 → Sudha ₹36,000, Tarun ₹24,000
WCR: ₹15,000 stays as Workmen Compensation Claim; balance ₹25,000 → Sudha ₹15,000, Tarun ₹10,000
IFR: fall = 1,00,000 − 92,000 = ₹8,000, absorbed by the reserve; balance ₹12,000 → Sudha ₹7,200, Tarun ₹4,800
P and L (Dr.) ₹25,000 → debit Sudha ₹15,000, Tarun ₹10,000
Advertisement Suspense ₹15,000 → debit Sudha ₹9,000, Tarun ₹6,000

Net effect:
Sudha = 36,000 + 15,000 + 7,200 − 15,000 − 9,000 = ₹34,200 credit
Tarun = 24,000 + 10,000 + 4,800 − 10,000 − 6,000 = ₹22,800 credit

Cross-check: total distributed = (60,000 + 25,000 + 12,000) − (25,000 + 15,000) = ₹57,000, and 34,200 + 22,800 = 57,000 ✔. Also 34,200 : 22,800 = 3 : 2 ✔
DateParticularsL.F.Dr (₹)Cr (₹)
(i)General Reserve A/c   Dr.
    To Sudha’s Capital A/c
    To Tarun’s Capital A/c
60,000
36,000
24,000
(ii)Workmen Compensation Reserve A/c   Dr.
    To Workmen Compensation Claim A/c
    To Sudha’s Capital A/c
    To Tarun’s Capital A/c
40,000
15,000
15,000
10,000
(iii)Investment Fluctuation Reserve A/c   Dr.
    To Investments A/c
    To Sudha’s Capital A/c
    To Tarun’s Capital A/c
20,000
8,000
7,200
4,800
(iv)Sudha’s Capital A/c   Dr.
Tarun’s Capital A/c   Dr.
    To Profit and Loss A/c
    To Advertisement Suspense A/c
24,000
16,000


25,000
15,000
Common Mistake — Putting reserves through the Revaluation Account
Reserves and accumulated profits never enter the Revaluation Account. They go straight from the reserve account to the old partners’ capital accounts. Revaluation Account is only for changes in the values of assets and liabilities.

↑ Back to top

Adjustment of Partners’ Capitals

Partners often agree that their capitals should sit in the same proportion as their profit shares. It feels fair: if you take 40% of the profit, you should be carrying 40% of the money at risk. This step comes last, after revaluation, reserves and goodwill have all been put through the capital accounts — because only then do you know what each partner actually has.

Exams ask this in exactly two directions. Read the question twice and decide which one you are in.

DirectionThe question saysMethod
A“The new partner will bring capital proportionate to his share”Old partners’ adjusted capitals represent their combined share. Scale up to the total, then take the new partner’s fraction.
B“The old partners’ capitals are to be adjusted on the basis of the new partner’s capital”Total capital = new partner’s capital ÷ his share. Split in the new ratio. Compare with each adjusted capital; the difference is brought in or withdrawn.
Example 12 — Direction A: finding the new partner’s capital
After all admission adjustments, Farhan’s capital stands at ₹3,60,000 and Gita’s at ₹2,40,000. Harish is admitted for 1/5 share and must bring capital proportionate to his share. How much must he bring?

Harish takes 1/5, so Farhan and Gita together keep 1 − 1/5 = 4/5.
Their combined adjusted capital = 3,60,000 + 2,40,000 = ₹6,00,000, and that ₹6,00,000 represents 4/5 of the whole.

Total capital of the new firm = 6,00,000 × 5/4 = ₹7,50,000
Harish’s capital = 1/5 × 7,50,000 = ₹1,50,000

Check: 6,00,000 + 1,50,000 = 7,50,000, and 1,50,000 ÷ 7,50,000 = 1/5 ✔
Example 13 — Direction B: adjusting the old partners’ capitals
Ishaan and Jyoti share 3 : 1. Kabir is admitted for 1/4 share, which he acquires from Ishaan and Jyoti in their old ratio, and brings ₹2,00,000 as capital. After all adjustments Ishaan’s capital is ₹4,80,000 and Jyoti’s is ₹1,20,000. The old partners’ capitals are to be adjusted in the new ratio on the basis of Kabir’s capital, the difference to be brought in or paid off in cash.

New ratio. Kabir takes 1/4 out of the old shares in ratio 3 : 1.
Ishaan = 3/4 − (1/4 × 3/4) = 12/16 − 3/16 = 9/16
Jyoti = 1/4 − (1/4 × 1/4) = 4/16 − 1/16 = 3/16
Kabir = 4/16   (9 + 3 + 4 = 16 ✔)

Total capital based on Kabir = 2,00,000 × 4 = ₹8,00,000

Ishaan should have = 8,00,000 × 9/16 = ₹4,50,000 — he has ₹4,80,000, so he withdraws ₹30,000
Jyoti should have = 8,00,000 × 3/16 = ₹1,50,000 — she has ₹1,20,000, so she brings in ₹30,000
Kabir = ₹2,00,000 ✔

Check: 4,50,000 + 1,50,000 + 2,00,000 = ₹8,00,000 ✔. The cash movements cancel out exactly here, which is a nice sign that the arithmetic is right.
DateParticularsL.F.Dr (₹)Cr (₹)
(i)Ishaan’s Capital A/c   Dr.
    To Bank A/c
(Excess capital withdrawn)
30,000
30,000
(ii)Bank A/c   Dr.
    To Jyoti’s Capital A/c
(Deficiency in capital brought in)
30,000
30,000
Exam Tip — Cash or Current Account?
If the question says the difference is “brought in or withdrawn in cash”, route it through Bank. If it says the adjustment is “through Current Accounts”, open Current Accounts instead — a credit balance goes on the liabilities side, a debit balance on the assets side, and the Bank balance is untouched. Follow the wording exactly; both are correct answers to different questions.

Why it works: both directions are the same equation read from opposite ends. Capital of one partner divided by his fractional share always gives the total capital of the firm, provided capitals are in the profit-sharing ratio. Direction A knows the old partners’ side and solves for the new partner. Direction B knows the new partner and solves for the old partners.

↑ Back to top

Partners’ Capital Accounts and the New Balance Sheet

All the work you have done so far lands in two places: the Partners’ Capital Accounts, and the Balance Sheet of the reconstituted firm. Get the layout right and the marks follow. Here is the map of where everything goes.

Debit side of Capital A/cCredit side of Capital A/c
To Profit and Loss A/c (Dr. balance)
To Advertisement Suspense A/c
To Revaluation A/c (loss)
To Goodwill A/c (existing goodwill written off)
To Capital/Current A/c of a sacrificing partner (if this partner gained)
To Bank A/c (excess capital withdrawn)
To Balance c/d
By Balance b/d
By General Reserve / P and L (Cr.) / WCR surplus / IFR surplus
By Revaluation A/c (profit)
By Premium for Goodwill A/c
By Bank A/c (capital and deficiency brought in)
By Current A/c of the new partner (goodwill not brought in)
Key Idea — Where Current Account balances sit
A partner’s Current A/c with a credit balance is money the firm owes him — it goes on the liabilities side. A Current A/c with a debit balance is money he owes the firm — it goes on the assets side. This single line rescues a lot of Balance Sheets that refuse to tie.
Example 14 — Assembling the Balance Sheet of the reconstituted firm
After completing all admission adjustments, a firm’s balances are: Capitals — Deepak ₹5,90,000, Esha ₹3,60,000, Farid ₹2,40,000; Farid’s Current A/c ₹40,000 (Dr.); Creditors ₹1,20,000; Bills Payable ₹35,000; Workmen Compensation Claim ₹25,000; Outstanding Rent ₹15,000; Bank ₹2,45,000; Debtors ₹2,00,000 with a provision of ₹10,000; Stock ₹1,60,000; Machinery ₹3,50,000; Building ₹4,00,000. Prepare the Balance Sheet.
BALANCE SHEET OF THE RECONSTITUTED FIRM
LiabilitiesAmount (₹)AssetsAmount (₹)
Creditors1,20,000Bank2,45,000
Bills Payable35,000Debtors  2,00,000
Less: Provision  10,000

1,90,000
Workmen Compensation Claim25,000Stock1,60,000
Outstanding Rent15,000Machinery3,50,000
Capitals:
  Deepak  5,90,000
  Esha  3,60,000
  Farid  2,40,000



11,90,000
Building4,00,000
Farid’s Current A/c40,000
Total13,85,000Total13,85,000
Farid’s Current A/c has a debit balance, so it is an asset. Notice too that no Goodwill appears anywhere — AS 26 again.
Common Mistake — Leaving old balances on the new Balance Sheet
General Reserve, Profit and Loss A/c, Advertisement Suspense, Investment Fluctuation Reserve, Workmen Compensation Reserve and any existing Goodwill are all closed during admission. None of them survives into the new Balance Sheet. What may survive is Workmen Compensation Claim (the amount actually payable) and a partner’s Current A/c balance.

↑ Back to top

Changes in the Partnership Deed on Admission

Admission is not only about ratios and rupees on day one. The old partnership deed dies and a new one is signed, and the new deed usually carries fresh terms — interest on capital, a salary or commission to a partner, and very often a guarantee of minimum profit to tempt the new partner in. These clauses show up in the very next year’s Profit and Loss Appropriation Account, and CBSE loves pairing them with an admission question. (Strictly, guarantee of profit and interest on capital sit in your Fundamentals chapter rather than in Admission — but examiners regularly fold them into the first year after a new partner joins, so treat this section as a quick recap rather than something missing from your textbook.)

Key Rule — How a guarantee works
First divide the profit in the ordinary new ratio, ignoring the guarantee. Then compare the guaranteed partner’s share with his guaranteed minimum. If his share falls short, the deficiency is borne by the guaranteeing partners — in the ratio the deed specifies, or, if the deed is silent, in the ratio in which they share profits. If his share already exceeds the guarantee, the guarantee simply does not bite.
Example 15 — Guarantee of minimum profit to the incoming partner
P, Q and R share profits 12 : 8 : 5 after R’s admission. R is guaranteed a minimum profit of ₹1,00,000 per year, any deficiency to be borne by P and Q in their old ratio of 3 : 2. The firm earns ₹4,00,000 in the first year. Show the distribution.

Step 1 — divide normally. Total parts = 12 + 8 + 5 = 25.
P = 4,00,000 × 12/25 = ₹1,92,000
Q = 4,00,000 × 8/25 = ₹1,28,000
R = 4,00,000 × 5/25 = ₹80,000
(1,92,000 + 1,28,000 + 80,000 = 4,00,000 ✔)

Step 2 — test the guarantee. R gets ₹80,000 but is guaranteed ₹1,00,000, so the deficiency is ₹20,000.

Step 3 — share the deficiency 3 : 2. P bears 20,000 × 3/5 = ₹12,000; Q bears 20,000 × 2/5 = ₹8,000.

Final: P = 1,92,000 − 12,000 = ₹1,80,000; Q = 1,28,000 − 8,000 = ₹1,20,000; R = ₹1,00,000.
Check: 1,80,000 + 1,20,000 + 1,00,000 = ₹4,00,000 ✔
Example 16 — New deed terms: interest on capital and a partner’s salary
P, Q and R share 12 : 8 : 5 with fixed capitals of ₹4,80,000, ₹3,20,000 and ₹2,00,000. The new deed allows interest on capital at 6% p.a. and a salary of ₹5,000 per month to R. Profit for the year before these appropriations is ₹6,00,000. Distribute it.

Interest on capital @ 6%: P = ₹28,800; Q = ₹19,200; R = ₹12,000   (total ₹60,000)
R’s salary: 5,000 × 12 = ₹60,000

Divisible profit = 6,00,000 − 60,000 − 60,000 = ₹4,80,000
P = 4,80,000 × 12/25 = ₹2,30,400
Q = 4,80,000 × 8/25 = ₹1,53,600
R = 4,80,000 × 5/25 = ₹96,000
(2,30,400 + 1,53,600 + 96,000 = 4,80,000 ✔)

Total earnings: P ₹2,59,200; Q ₹1,72,800; R ₹12,000 + 60,000 + 96,000 = ₹1,68,000.
Check: 2,59,200 + 1,72,800 + 1,68,000 = ₹6,00,000 ✔

Because the capitals are fixed, all of this is credited to the partners’ Current Accounts, not their Capital Accounts.
Good to Know — Interest on a partner’s loan is different
Interest on a partner’s loan to the firm is a charge against profit (it goes to the Profit and Loss Account, at 6% p.a. if the deed is silent), whereas interest on capital is an appropriation of profit (it goes to the Profit and Loss Appropriation Account, and only if the deed allows it). A partner’s loan is also never transferred to his Capital Account on admission or any other reconstitution — it stays on the Balance Sheet as a separate liability. Mixing these two up is a classic one-mark loss.

↑ Back to top

A Full Board-Style Question, Start to Finish

Here it is — everything at once, exactly the way it appears in the board paper. Do not read the solution yet. Copy the question onto a page, set a 20-minute timer, and attempt it. Then come back and compare line by line. Being 90% right and knowing which 10% went wrong is worth far more than reading a perfect answer.

Example 17 — Full question: Revaluation, goodwill, reserves, capital adjustment and the new Balance Sheet
P and Q are partners sharing profits in the ratio 3 : 2. Their Balance Sheet as at 31st March 2026 stood as follows.
BALANCE SHEET OF P AND Q AS AT 31ST MARCH 2026
LiabilitiesAmount (₹)AssetsAmount (₹)
Creditors1,10,000Cash at Bank85,000
Bills Payable40,000Debtors  1,50,000
Less: Provision  10,000

1,40,000
General Reserve75,000Stock1,30,000
Workmen Compensation Reserve30,000Furniture1,00,000
Capitals:
  P  4,00,000
  Q  3,00,000


7,00,000
Land and Building4,50,000
Advertisement Suspense A/c50,000
Total9,55,000Total9,55,000
On 1st April 2026 R was admitted for a 1/5 share on the following terms:
(a) R brings ₹2,00,000 as capital and ₹60,000 as his share of premium for goodwill, in cash. P and Q continue to share between themselves in their old ratio.
(b) Land and Building is to be appreciated by 20%.
(c) Stock is found overvalued by ₹10,000.
(d) Provision for doubtful debts is to be maintained at 8% of debtors.
(e) Furniture is to be depreciated by 15%.
(f) A claim on account of workmen compensation of ₹18,000 is to be provided for.
(g) A creditor of ₹7,000, not recorded in the books, is to be brought in.
(h) The capitals of P and Q are to be adjusted in the new profit-sharing ratio on the basis of R’s capital, any surplus to be withdrawn in cash.

Prepare the Revaluation Account, Partners’ Capital Accounts and the Balance Sheet of the reconstituted firm.
SOLUTION — Working Notes first

WN 1: New ratio and sacrificing ratio.
R takes 1/5, so P and Q share 4/5 in 3 : 2.
P = 3/5 × 4/5 = 12/25  |  Q = 2/5 × 4/5 = 8/25  |  R = 5/25. New ratio 12 : 8 : 5.
Sacrifice: P = 15/25 − 12/25 = 3/25; Q = 10/25 − 8/25 = 2/25. Sacrificing ratio 3 : 2 (total 5/25 = 1/5 ✔).

WN 2: Revaluation figures.
Land and Building: 20% of 4,50,000 = +₹90,000 → new value ₹5,40,000
Stock: −₹10,000 → ₹1,20,000
Provision: 8% of 1,50,000 = ₹12,000; existing ₹10,000, so extra −₹2,000
Furniture: 15% of 1,00,000 = −₹15,000 → ₹85,000
Unrecorded creditor: −₹7,000 → creditors ₹1,17,000
(The workmen compensation claim is not a revaluation item — it comes out of the reserve.)

WN 3: Reserves.
General Reserve ₹75,000 → P ₹45,000, Q ₹30,000
WCR ₹30,000 less claim ₹18,000 = ₹12,000 → P ₹7,200, Q ₹4,800
Advertisement Suspense ₹50,000 → debit P ₹30,000, Q ₹20,000

WN 4: Premium for goodwill ₹60,000 in 3 : 2 → P ₹36,000, Q ₹24,000. (Implied goodwill of the firm = 60,000 × 5 = ₹3,00,000.)
Example 17 (continued) — The three accounts
REVALUATION ACCOUNT
Dr.   ParticularsAmount (₹)ParticularsAmount (₹)   Cr.
To Stock A/c10,000By Land and Building A/c90,000
To Provision for Doubtful Debts A/c2,000
To Furniture A/c15,000
To Creditors A/c (unrecorded)7,000
To Profit transferred to:
  P’s Capital A/c  33,600
  Q’s Capital A/c  22,400


56,000
Total90,000Total90,000
PARTNERS’ CAPITAL ACCOUNTS
Dr.   ParticularsPQRParticularsPQ    R   Cr.
To Advertisement Suspense A/c30,00020,000By Balance b/d4,00,0003,00,000    —
To Bank A/c (excess withdrawn)11,80041,200By Bank A/c (capital)—    2,00,000
To Balance c/d4,80,0003,20,0002,00,000By Premium for Goodwill A/c36,00024,000    —
By General Reserve A/c45,00030,000    —
By Workmen Compensation Reserve A/c7,2004,800    —
By Revaluation A/c (profit)33,60022,400    —
Total5,21,8003,81,2002,00,000Total5,21,8003,81,200   2,00,000
WN 5: Capital adjustment. Total capital of the new firm on the basis of R = 2,00,000 ÷ 1/5 = ₹10,00,000.
P should have 10,00,000 × 12/25 = ₹4,80,000; his adjusted capital is ₹4,91,800, so he withdraws ₹11,800.
Q should have 10,00,000 × 8/25 = ₹3,20,000; his adjusted capital is ₹3,61,200, so he withdraws ₹41,200.
Total cash paid out = ₹53,000.

WN 6: Bank. 85,000 + 2,00,000 (R’s capital) + 60,000 (premium) − 53,000 = ₹2,92,000.
Example 17 (concluded) — Balance Sheet of the reconstituted firm
BALANCE SHEET OF P, Q AND R AS AT 1ST APRIL 2026
LiabilitiesAmount (₹)AssetsAmount (₹)
Creditors (1,10,000 + 7,000)1,17,000Cash at Bank2,92,000
Bills Payable40,000Debtors  1,50,000
Less: Provision  12,000

1,38,000
Workmen Compensation Claim18,000Stock1,20,000
Capitals:
  P  4,80,000
  Q  3,20,000
  R  2,00,000



10,00,000
Furniture85,000
Land and Building5,40,000
Total11,75,000Total11,75,000
It ties. If yours did not, work backwards in this order: Bank balance, then capital balances, then the revalued asset figures. Nine times out of ten the culprit is a missed cash movement or a reserve left sitting on the liabilities side.

↑ Back to top

Practice Worksheet

Ten questions, easy to hard. Do them on paper with a pen, not in your head. Reveal an answer only after you have committed to yours — that moment of “oh, THAT is where I went wrong” is where the learning actually happens.

Q1. Pranav and Qamar share profits in the ratio 7 : 3. Rina is admitted for a 3/10 share. The old partners will continue to share between themselves in their old ratio. Calculate the new profit-sharing ratio and the sacrificing ratio.
Show Answer
Rina takes 3/10, leaving 7/10 for Pranav and Qamar in 7 : 3.
Pranav = 7/10 × 7/10 = 49/100
Qamar = 3/10 × 7/10 = 21/100
Rina = 3/10 = 30/100
Check: 49 + 21 + 30 = 100 ✔   New ratio = 49 : 21 : 30.

Sacrifice: Pranav = 70/100 − 49/100 = 21/100; Qamar = 30/100 − 21/100 = 9/100.
Sacrificing ratio = 21 : 9 = 7 : 3, which is the old ratio — exactly what you expect when the old partners keep their mutual ratio unchanged. Total sacrifice 30/100 = 3/10 ✔
Q2. Aman and Bhavesh share profits 3 : 2. Charu is admitted for a 1/6 share, which she acquires 1/8 from Aman and 1/24 from Bhavesh. Calculate the new profit-sharing ratio and the sacrificing ratio.
Show Answer
First check the question: 1/8 + 1/24 = 3/24 + 1/24 = 4/24 = 1/6 ✔

Aman = 3/5 − 1/8 = 24/40 − 5/40 = 19/40 = 57/120
Bhavesh = 2/5 − 1/24 = 48/120 − 5/120 = 43/120
Charu = 1/6 = 20/120
Check: 57 + 43 + 20 = 120 ✔   New ratio = 57 : 43 : 20.

Sacrificing ratio = 1/8 : 1/24 = 3/24 : 1/24 = 3 : 1.
Note how the sacrificing ratio here is nothing like the old ratio of 3 : 2 — this is why goodwill must never be shared in the old ratio out of habit.
Q3. Xerxes and Yusuf share profits 5 : 3. Zainab is admitted. Xerxes surrenders 1/5 of his share and Yusuf surrenders 1/3 of his share in favour of Zainab. Find Zainab’s share, the new ratio and the sacrificing ratio.
Show Answer
Xerxes sacrifices = 1/5 × 5/8 = 1/8
Yusuf sacrifices = 1/3 × 3/8 = 1/8
Zainab’s share = 1/8 + 1/8 = 2/8 = 1/4

Xerxes = 5/8 − 1/8 = 4/8  |  Yusuf = 3/8 − 1/8 = 2/8  |  Zainab = 2/8
Check: 4 + 2 + 2 = 8 ✔   New ratio = 4 : 2 : 2 = 2 : 1 : 1.

Sacrificing ratio = 1/8 : 1/8 = 1 : 1. Two partners with very different shares can still sacrifice equally — it depends entirely on the fraction each surrenders.
Q4. Ayesha and Bharat share profits 2 : 1. Chandan is admitted for a 1/4 share. He brings ₹4,00,000 as capital and ₹1,50,000 as premium for goodwill, in cash. The old partners withdraw 40% of the premium. Pass the necessary journal entries.
Show Answer
Sacrificing ratio = old ratio 2 : 1 → Ayesha ₹1,00,000, Bharat ₹50,000 (total ₹1,50,000 ✔).
40% withdrawn: Ayesha ₹40,000, Bharat ₹20,000, total ₹60,000.

1. Bank A/c Dr. ₹5,50,000  /  To Chandan’s Capital A/c ₹4,00,000; To Premium for Goodwill A/c ₹1,50,000
(Capital and premium brought in by Chandan)

2. Premium for Goodwill A/c Dr. ₹1,50,000  /  To Ayesha’s Capital A/c ₹1,00,000; To Bharat’s Capital A/c ₹50,000
(Premium credited in sacrificing ratio 2 : 1)

3. Ayesha’s Capital A/c Dr. ₹40,000; Bharat’s Capital A/c Dr. ₹20,000  /  To Bank A/c ₹60,000
(40% of the premium withdrawn by the old partners)

Net cash left in the firm from these entries = 5,50,000 − 60,000 = ₹4,90,000.
Q5. Mehul and Nandini share profits 3 : 2. Omkar is admitted for a 1/4 share. The goodwill of the firm is valued at ₹4,00,000. Omkar brings ₹5,00,000 as capital but only ₹60,000 towards his share of goodwill. Pass the journal entries.
Show Answer
Omkar’s share of goodwill = 1/4 × 4,00,000 = ₹1,00,000. He brings ₹60,000, so ₹40,000 stays owing.
Sacrificing ratio 3 : 2 → Mehul ₹60,000, Nandini ₹40,000 (total ₹1,00,000 ✔).

1. Bank A/c Dr. ₹5,60,000  /  To Omkar’s Capital A/c ₹5,00,000; To Premium for Goodwill A/c ₹60,000
(Capital and part of the premium brought in)

2. Premium for Goodwill A/c Dr. ₹60,000; Omkar’s Current A/c Dr. ₹40,000  /  To Mehul’s Capital A/c ₹60,000; To Nandini’s Capital A/c ₹40,000
(Omkar’s full share of goodwill credited to the sacrificing partners in 3 : 2)

Total debits ₹1,00,000 = total credits ₹1,00,000 ✔. Omkar’s Current A/c will appear on the assets side of the new Balance Sheet at ₹40,000.
Q6. Rehan and Sara are partners sharing profits 2 : 1 with capitals of ₹6,00,000 and ₹3,60,000. Their books show a General Reserve of ₹1,20,000. Tanvi is admitted for a 1/4 share and brings ₹4,00,000 as capital, but nothing for goodwill. There is no revaluation. Calculate the hidden goodwill and pass the necessary journal entry.
Show Answer
Step 1 — adjust the old capitals first. General Reserve ₹1,20,000 in 2 : 1 → Rehan ₹80,000, Sara ₹40,000.
Rehan’s adjusted capital = 6,00,000 + 80,000 = ₹6,80,000
Sara’s adjusted capital = 3,60,000 + 40,000 = ₹4,00,000

Step 2 — implied total capital. Tanvi pays ₹4,00,000 for 1/4, so the firm is valued at 4,00,000 × 4 = ₹16,00,000.

Step 3 — actual combined capital. 6,80,000 + 4,00,000 + 4,00,000 = ₹14,80,000.

Hidden goodwill = 16,00,000 − 14,80,000 = ₹1,20,000
Tanvi’s share = 1/4 × 1,20,000 = ₹30,000, shared 2 : 1 → Rehan ₹20,000, Sara ₹10,000 (✔ 30,000).

Entry: Tanvi’s Capital A/c Dr. ₹30,000  /  To Rehan’s Capital A/c ₹20,000; To Sara’s Capital A/c ₹10,000
(Tanvi’s share of hidden goodwill adjusted in the sacrificing ratio 2 : 1)

If you forgot to add the General Reserve in Step 1, you would have got a hidden goodwill of ₹2,40,000 — double the correct figure. That is the whole trap in this question.
Q7. Ankit and Bela share profits 3 : 1. On the admission of a new partner it is agreed that: stock of ₹1,80,000 be reduced by 10%; machinery of ₹3,00,000 be depreciated by 8%; building of ₹5,00,000 be appreciated by 12%; the provision for doubtful debts be raised to 5% of debtors of ₹1,80,000 (existing provision ₹4,000); creditors of ₹1,50,000 include ₹9,000 no longer payable; and an unrecorded repairs bill of ₹7,000 be brought into the books. Prepare the Revaluation Account.
Show Answer
Losses (debit side):
Stock 10% of 1,80,000 = ₹18,000
Machinery 8% of 3,00,000 = ₹24,000
Provision: required 5% of 1,80,000 = ₹9,000; existing ₹4,000; extra = ₹5,000
Outstanding repairs = ₹7,000
Total losses = ₹54,000

Gains (credit side):
Building 12% of 5,00,000 = ₹60,000
Creditors written back = ₹9,000
Total gains = ₹69,000

Profit on Revaluation = 69,000 − 54,000 = ₹15,000, credited to Ankit ₹11,250 and Bela ₹3,750 in the old ratio 3 : 1 (✔ 15,000).
Revaluation Account totals: ₹69,000 on each side.

Watch the provision line — only the ₹5,000 increase is a revaluation loss, but the Balance Sheet must show the full ₹9,000 deducted from debtors.
Q8. Devika and Eshan share profits 5 : 3. On the admission of a new partner their books show: General Reserve ₹96,000; Workmen Compensation Reserve ₹50,000 against which a claim of ₹18,000 is admitted; Investment Fluctuation Reserve ₹36,000 with investments costing ₹2,40,000 now valued at ₹2,20,000; Profit and Loss A/c (Cr.) ₹40,000; and Advertisement Suspense A/c ₹24,000. Show the amount credited or debited to each old partner.
Show Answer
General Reserve ₹96,000 → Devika ₹60,000, Eshan ₹36,000
WCR: claim ₹18,000 stays as a liability; balance ₹32,000 → Devika ₹20,000, Eshan ₹12,000
IFR: fall = 2,40,000 − 2,20,000 = ₹20,000 absorbed by the reserve; balance ₹16,000 → Devika ₹10,000, Eshan ₹6,000
P and L (Cr.) ₹40,000 → Devika ₹25,000, Eshan ₹15,000
Advertisement Suspense ₹24,000 → debit Devika ₹15,000, Eshan ₹9,000

Net credit: Devika = 60,000 + 20,000 + 10,000 + 25,000 − 15,000 = ₹1,00,000
Eshan = 36,000 + 12,000 + 6,000 + 15,000 − 9,000 = ₹60,000

Cross-check: total distributed = (96,000 + 32,000 + 16,000 + 40,000) − 24,000 = ₹1,60,000, and 1,00,000 + 60,000 = ₹1,60,000 ✔, in the ratio 5 : 3 ✔
On the new Balance Sheet, Investments appear at ₹2,20,000 and Workmen Compensation Claim at ₹18,000.
Q9. Gauri and Hemant share profits 3 : 2 with capitals of ₹5,00,000 and ₹3,00,000. Ismail is admitted for a 1/4 share, acquired from the old partners in their old ratio. He brings ₹3,00,000 as capital and ₹80,000 as premium for goodwill, which is retained in the business. Revaluation shows a profit of ₹40,000 and there is a General Reserve of ₹60,000. The old partners’ capitals are to be adjusted in the new ratio on the basis of Ismail’s capital, the difference to be settled in cash. Calculate the amount each old partner brings in or withdraws.
Show Answer
New ratio: Ismail 1/4; Gauri and Hemant share 3/4 in 3 : 2 → Gauri 9/20, Hemant 6/20, Ismail 5/20. (9 + 6 + 5 = 20 ✔) Sacrificing ratio 3 : 2.

Adjusted capitals:
Gauri = 5,00,000 + 48,000 (goodwill) + 24,000 (revaluation) + 36,000 (reserve) = ₹6,08,000
Hemant = 3,00,000 + 32,000 + 16,000 + 24,000 = ₹3,72,000

Total capital based on Ismail = 3,00,000 × 4 = ₹12,00,000
Gauri should have = 12,00,000 × 9/20 = ₹5,40,000 → withdraws ₹68,000
Hemant should have = 12,00,000 × 6/20 = ₹3,60,000 → withdraws ₹12,000
Ismail = ₹3,00,000

Check: 5,40,000 + 3,60,000 + 3,00,000 = ₹12,00,000 ✔ and the closing capitals are in 9 : 6 : 5 ✔
Q10. Lata and Manav are partners sharing profits 5 : 3. Their Balance Sheet as at 31st March 2026 showed — Liabilities: Sundry Creditors ₹1,32,000; Outstanding Expenses ₹18,000; General Reserve ₹48,000; Investment Fluctuation Reserve ₹20,000; Capitals: Lata ₹3,20,000 and Manav ₹2,40,000. Assets: Bank ₹62,000; Debtors ₹1,20,000; Stock ₹96,000; Investments (cost) ₹1,00,000; Plant and Machinery ₹2,60,000; Land ₹1,00,000; Profit and Loss A/c (Dr.) ₹40,000. Total ₹7,78,000.

Nikhil is admitted on 1st April 2026 for a 1/4 share on these terms: (a) he brings ₹2,40,000 as capital, and his share of goodwill is valued at ₹80,000 of which he brings 60% in cash; (b) investments are to be valued at ₹88,000; (c) stock is to be reduced by ₹10,000; (d) plant and machinery is to be appreciated by ₹30,000; (e) a provision for doubtful debts at 5% is to be created on debtors; (f) outstanding expenses are to be reduced to ₹12,000; (g) an unrecorded computer worth ₹20,000 is to be brought into the books. Prepare the Revaluation Account, Partners’ Capital Accounts and the new Balance Sheet.
Show Answer
WN 1 — Ratios. Nikhil takes 1/4, leaving 3/4 for Lata and Manav in 5 : 3.
Lata = 5/8 × 3/4 = 15/32; Manav = 3/8 × 3/4 = 9/32; Nikhil = 8/32. New ratio 15 : 9 : 8.
Sacrifice: Lata 20/32 − 15/32 = 5/32; Manav 12/32 − 9/32 = 3/32. Sacrificing ratio 5 : 3 (total 8/32 = 1/4 ✔).

WN 2 — Revaluation Account.
Debit (losses): Stock ₹10,000; Provision for Doubtful Debts 5% of 1,20,000 = ₹6,000. Total ₹16,000.
Credit (gains): Plant and Machinery ₹30,000; Outstanding Expenses written back (18,000 − 12,000) ₹6,000; Computer (unrecorded asset) ₹20,000. Total ₹56,000.
Profit = 56,000 − 16,000 = ₹40,000 → Lata ₹25,000, Manav ₹15,000. Both sides of the account total ₹56,000.
Note: the fall in investments is not a revaluation item — it is absorbed by the Investment Fluctuation Reserve.

WN 3 — Reserves and accumulated loss.
General Reserve ₹48,000 → Lata ₹30,000, Manav ₹18,000
IFR ₹20,000 less fall (1,00,000 − 88,000) ₹12,000 = ₹8,000 → Lata ₹5,000, Manav ₹3,000
Profit and Loss A/c (Dr.) ₹40,000 → debit Lata ₹25,000, Manav ₹15,000

WN 4 — Goodwill. Nikhil’s share ₹80,000; he brings 60% = ₹48,000 in cash, and ₹32,000 is debited to his Current A/c. Credited in 5 : 3 → Lata ₹50,000, Manav ₹30,000 (✔ 80,000).

WN 5 — Capital Accounts.
Lata = 3,20,000 + 25,000 + 30,000 + 5,000 + 50,000 − 25,000 = ₹4,05,000
Manav = 2,40,000 + 15,000 + 18,000 + 3,000 + 30,000 − 15,000 = ₹2,91,000
Nikhil = ₹2,40,000

WN 6 — Bank. 62,000 + 2,40,000 + 48,000 = ₹3,50,000

BALANCE SHEET AS AT 1ST APRIL 2026
Liabilities: Sundry Creditors ₹1,32,000; Outstanding Expenses ₹12,000; Capitals — Lata ₹4,05,000, Manav ₹2,91,000, Nikhil ₹2,40,000 (₹9,36,000). Total ₹10,80,000
Assets: Bank ₹3,50,000; Debtors ₹1,20,000 less Provision ₹6,000 = ₹1,14,000; Stock ₹86,000; Investments ₹88,000; Plant and Machinery ₹2,90,000; Land ₹1,00,000; Computer ₹20,000; Nikhil’s Current A/c ₹32,000. Total ₹10,80,000

If your Balance Sheet did not tie, check three things in order: (1) did you put Nikhil’s Current A/c of ₹32,000 on the assets side? (2) did you reduce Outstanding Expenses to ₹12,000? (3) did you route the ₹12,000 fall in investments through the IFR rather than the Revaluation Account?

That is the whole chapter. Every board question on Admission of a Partner is a rearrangement of what you have just practised.

Kaizen — one better question than yesterday
You will not master this in one evening, and you are not supposed to. Do three admission questions tonight. Tomorrow, do three more and get one more of them fully right than you did today. A Balance Sheet that ties on the first attempt is a skill built by repetition, not by talent. Small daily improvement, compounded over a term, is what turns this chapter from your weakest into your most reliable eight marks.

↑ Back to top

Written & reviewed by Team Principal Saab — Meet the team →