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Goodwill and Change in Profit-Sharing Ratio — Class 12 Accountancy Notes & Practice

Goodwill and Change in Profit-Sharing Ratio — Class 12 Accountancy Notes & Practice

Take a slow breath before you start. This chapter frightens a lot of students, and the reason is almost always the same: it looks like two chapters glued together. One half asks you to put a rupee value on something you cannot see or touch, and the other half asks you to reshuffle a partnership without anybody joining or leaving. Both halves are far gentler than they look once you see the single idea running underneath them, and that idea is what these notes are built around. Everything here follows the NCERT Accountancy — Partnership Accounts textbook for Class 12 and the CBSE syllabus for the 2026-27 session, so nothing you read is off-syllabus.

By the end of this page you will be able to define goodwill in your own words, list the factors that push its value up or down, and work through every method of valuation the board can ask for. You will handle the goodwill class 12 accountancy important questions that repeat year after year, follow a full set of valuation of goodwill solved examples step by step, and write clean change in profit sharing ratio journal entries without guessing which partner to debit. We will also fold in reserves, revaluation and the single adjusting entry, because in a real board paper they arrive together in one question, not separately.

One promise before we begin. Every rupee figure on this page has been worked out and checked, and every example is solved in full, so if your answer differs you can trace exactly where the two of you parted ways. If partnership itself still feels shaky, keep Accounting for Partnership Firms: Fundamentals open in another tab — that chapter covers capital accounts and profit distribution, which this one assumes you already have.

Meet Your Tutor

Goodwill adjustments become reliable once you identify who gains, who sacrifices and why compensation is due before writing any entry. I will help you calculate the old, new, sacrificing and gaining ratios in a fixed sequence, then use a quick debit-credit fairness check so each adjustment has a reason you can explain in the exam.

What You’ll Learn

🎯 Try This
Find two shops in your neighbourhood that sell almost the same thing — say two tea stalls, two stationery shops or two bakeries. One should be an old, well-known name and the other should have opened recently. Ask six people this single question: “If both charged the same price, which one would you walk into, and why?” Write down their exact reasons. Then ask them one more thing: “Would you pay ten rupees extra at the older shop?” Count how many say yes. That count, multiplied by everything the older shop sells in a year, is goodwill — not a formula, an actual habit sitting inside people’s heads. Bring your list to class and match each reason against the factors listed later on this page. (15-20 min)

Your Game Plan

  1. Get comfortable with what goodwill is before touching a single formula. Two paragraphs, no maths.
  2. Learn to clean up the profit figures first. Almost every mark lost in valuation is lost here, not in the formula.
  3. Master the four valuation methods in order — average, weighted average, super profit, capitalisation. Each one is a small extension of the one before it.
  4. Switch to the second half: work out sacrifice and gain, then pass goodwill entries between existing partners.
  5. Add reserves and revaluation on top, and finish with the single adjusting entry using the Basket Rule.
  6. Close the notes and attempt the ten worksheet questions with the answers hidden. Only then peek.

Study Notes

Meaning and Nature of Goodwill

Imagine two identical sweet shops on the same street. Same size, same counters, same halwai, same prices. One has been there for thirty years; the other opened last Tuesday. If both were put up for sale today, nobody would pay the same price for them. The older one carries something extra — regulars who come without checking prices, a name people trust for a wedding order, suppliers who give it a longer credit period. That extra, converted into rupees, is goodwill (साख).

So goodwill is the value of a firm’s reputation — its proven ability to earn more than an ordinary firm of the same size would earn. Notice the wording carefully, because the examiner does. Goodwill is not the reputation itself. It is the money value of the extra profit that reputation is expected to keep producing.

📌 Key Idea — the one-line definition
Goodwill is the value of the excess earning power of a firm over and above the normal return that a similar business would earn on the same capital. If a firm earns only a normal return, its goodwill is zero, however old and famous it may be.

Because goodwill has no physical form, it is classified as an intangible asset. But be careful with a second label. Goodwill is not a fictitious asset. A fictitious asset (such as deferred advertisement expenditure) has no value at all and is only sitting on the balance sheet waiting to be written off. Goodwill has real, sellable value — you simply cannot pick it up.

Accounting standards allow goodwill to be recorded only when it is purchased, that is, when a firm actually pays money for it while buying another business. Goodwill that a firm builds up by itself over the years is called self-generated or inherent goodwill, and it is never brought into the books. This single rule quietly explains why so many questions end with the instruction “goodwill is not to appear in the books of the firm”.

Example 1 — Purchased goodwill versus self-generated goodwill
Meher Traders buys the entire business of Kohli Stores. The assets taken over are worth ₹ 8,50,000 and the liabilities taken over are ₹ 1,50,000, so the net assets are ₹ 7,00,000. Meher Traders agrees to pay ₹ 8,20,000.

Goodwill paid = 8,20,000 − 7,00,000 = ₹ 1,20,000. This amount is purchased goodwill and it will appear on the asset side of Meher Traders’ balance sheet.

Meanwhile, Meher Traders’ own thirty-year reputation may be worth far more than ₹ 1,20,000 — but not one rupee of it enters the books, because nobody paid for it.
Example 2 — Testing the definition
A firm has capital employed of ₹ 5,00,000 and earns an annual profit of ₹ 60,000. Businesses of this type normally earn 12% on capital.

Normal profit = 5,00,000 × 12% = ₹ 60,000. Actual profit = ₹ 60,000.
Excess earning = 60,000 − 60,000 = nil, so goodwill = ₹ 0.

The firm may be forty years old with a lovely signboard. It still has no goodwill in the accounting sense, because it earns exactly what any similar firm would earn.

Why it works. Goodwill is a forward-looking number dressed up in past data. Nobody pays extra for what a firm earned last year; they pay extra because they believe the extra earning will continue. Past profits are used only because they are the most reliable evidence of what the future is likely to look like. Hold on to that sentence — it justifies almost every adjustment we make later.

⚠ Common Mistake
Do not write that goodwill is a fictitious asset. It is an intangible asset. Fictitious assets have no realisable value; goodwill does. This is a one-mark question that appears very often and is thrown away just as often.

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Factors Affecting the Value of Goodwill

Once you accept that goodwill is stored-up earning power, the list of factors stops being something to memorise. Just ask of each item: does this make customers come back more often, or make each sale more profitable, or make the earnings safer? If yes, goodwill goes up.

FactorWhy it raises goodwillA quick example
LocationA shop customers pass anyway needs no persuasion to earn.A chemist right outside a hospital gate.
Quality and consistencySteady quality creates repeat buyers, and repeat buyers cost nothing to acquire.A bakery whose bread tastes the same every single day.
Efficiency of managementLower waste and better buying convert the same sales into higher profit.A firm that never over-orders and never runs out.
Nature of the businessA stable, essential product means safer future earnings.A dairy earns more predictably than a fireworks seller.
Length of establishmentTime is what turns customers into habits.A forty-year-old tailor with three generations of clients.
Special advantagesPatents, licences, long-term supply contracts and trademarks keep rivals out.An exclusive dealership for a district.
Access to capital and creditCheap finance and long supplier credit lift the profit that survives to the bottom line.A firm buying on 90-day credit while selling for cash.
Risk involvedLower risk means buyers accept a lower return, so they pay more for the same profit.A government-supply contractor with assured orders.
Read each row as a cause-and-effect sentence, not as a bullet to be recited.
Example 3 — Two firms, same profit, different goodwill
Firm A and Firm B both earn an average profit of ₹ 2,40,000 a year and both employ capital of ₹ 12,00,000.

Firm A supplies medicines to a chain of government hospitals under a five-year contract. Firm B sells fashion accessories from a rented kiosk in a mall.

Both earn 2,40,000 ÷ 12,00,000 = 20% on capital. But a buyer of Firm A might accept a normal return of 10% (low risk), while a buyer of Firm B would demand 18% (high risk).
Firm A: normal profit = 12,00,000 × 10% = ₹ 1,20,000, super profit = ₹ 1,20,000.
Firm B: normal profit = 12,00,000 × 18% = ₹ 2,16,000, super profit = ₹ 24,000.

Identical profits, goodwill five times apart. Risk is doing all the work here.
💡 Exam Tip
If a question asks for “any four factors”, do not just name them. Add a five-word reason to each. Naming alone often gets half marks; naming with a reason gets full marks and takes ten extra seconds.

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Need for Valuation of Goodwill

A partnership firm does not value its goodwill every year for fun. It does so only when the arrangement between the partners changes, because that is the only moment when the built-up reputation has to be shared out fairly. There are five such moments, and every one of them is a chapter in your syllabus.

  • Change in the profit-sharing ratio among existing partners — the second half of this very chapter.
  • Admission of a new partner, who must pay for a share of a reputation he did not build. See Admission of a Partner.
  • Retirement or death of a partner, who must be paid for the reputation he helped build. See Retirement or Death of a Partner.
  • Dissolution of the firm, when the business is sold as a going concern rather than piece by piece.
  • Amalgamation or sale of the firm to another business.
📌 Key Rule — the fairness test
Whenever one partner’s future share of profit goes up and another’s goes down, the one gaining is taking a slice of a reputation he did not pay for. Valuation of goodwill exists purely to price that slice. If nobody’s share changes, no goodwill adjustment is needed — no matter what else happens in the question.
Example 4 — Spotting whether valuation is needed
In each case decide whether goodwill must be valued.

(a) P, Q and R share profits 2:2:1 and admit S for 1/5th share. Yes — S gains a share he never built.
(b) P, Q and R share 2:2:1 and simply revalue their building upward, ratio unchanged. No — nobody’s share moved.
(c) P, Q and R change their ratio from 2:2:1 to 1:1:1. Old shares 2/5, 2/5, 1/5; new shares 1/3 each. P and Q drop, R rises. Yes.
(d) P, Q and R share 1:1:1 and decide to change to 2:2:2. Old 1/3 each, new 1/3 each — the ratio 2:2:2 is 1:1:1. No, nothing has actually changed.

Case (d) is the trap. Always reduce both ratios to their simplest form before deciding.

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The Four Methods of Valuation of Goodwill at a Glance

What does the question give you?Only a list ofpast profitsProfits + capitalemployed + normal rateAsked for thevalue of the firmWeights not givenAverage Profit MethodWeights givenWeighted AverageSuper Profit Method(super profit × years)Capitalisationof Average ProfitOr capitalise it:Super Profit ÷ NRRCapitalised valueminus net assetssame answerBoth capitalisation routes must agree — if they do not, recheck capital employed.
Decision tree: which method of valuation of goodwill the question is really asking for

There are four methods in your syllabus, and students often treat them as four unrelated formulas to be crammed. They are not. They are four answers to one question — how much extra earning power does this firm have, and what is that worth today? — asked with different amounts of information available.

MethodWhat it needsThe formulaWhen the question points here
Average ProfitPast profits onlyAverage Profit × Number of years’ purchaseOnly a list of profits is given, with no weights and no capital employed.
Weighted Average ProfitPast profits + weightsWeighted Average Profit × Number of years’ purchaseWeights are stated, or profits show a clear rising or falling trend.
Super ProfitProfits + capital employed + normal rate of return(Average Profit − Normal Profit) × Number of years’ purchaseCapital employed and a normal rate of return both appear.
CapitalisationProfits + capital employed + normal rate of returnCapitalised Value − Capital Employed, or Super Profit ÷ Normal RateThe word ‘capitalisation’ appears, or you are asked for the value of the whole firm.
Read the fourth column first when you open a question — it tells you which row you are in.
📌 Key Rule — the two families
Methods one to three multiply a profit figure by a number of years. Method four divides a profit figure by a rate. Multiplying gives you a purchase price; dividing gives you a capitalised value. If you ever find yourself multiplying in a capitalisation sum, stop and reread the question.
⚠ Common Mistake
“Number of years’ purchase” does not mean the number of years whose profits you averaged. A question can give five years of profits and ask for goodwill at two years’ purchase. Average over five, then multiply by two. Mixing these up is the single most common slip in this chapter.

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Average Profit Method — Valuation of Goodwill Solved Examples

This is the simplest method and the one you will meet first. Add up the profits of the given years, divide by the number of years to get the average, then multiply the average by the agreed number of years’ purchase. That is the whole method.

📌 Formula
Goodwill = Average Profit × Number of Years’ Purchase
where Average Profit = Total Adjusted Profits ÷ Number of Years
Example 5 — Straightforward average profit
The profits of Nandini & Co. for the last four years were:
2021-22 — ₹ 80,000; 2022-23 — ₹ 1,00,000; 2023-24 — ₹ 90,000; 2024-25 — ₹ 1,30,000.
Goodwill is to be valued at 3 years’ purchase of the average profit.

Step 1 — total the profits. 80,000 + 1,00,000 + 90,000 + 1,30,000 = ₹ 4,00,000
Step 2 — average. 4,00,000 ÷ 4 = ₹ 1,00,000
Step 3 — multiply by years’ purchase. 1,00,000 × 3 = ₹ 3,00,000

Goodwill of the firm is ₹ 3,00,000.
Example 6 — When one of the years shows a loss
Profits and losses of Sagar Enterprises: 2021-22 — profit ₹ 1,10,000; 2022-23 — loss ₹ 20,000; 2023-24 — profit ₹ 70,000; 2024-25 — profit ₹ 1,40,000; 2025-26 — profit ₹ 1,50,000. Goodwill is 2 years’ purchase of average profit.

Step 1. A loss is entered as a negative figure, never skipped:
1,10,000 − 20,000 + 70,000 + 1,40,000 + 1,50,000 = ₹ 4,50,000
Step 2. 4,50,000 ÷ 5 = ₹ 90,000
Step 3. 90,000 × 2 = ₹ 1,80,000

Note that we still divided by 5, not by 4. The loss year is a year of trading and it counts.

Why it works. Averaging is a way of saying “ignore the flukes”. One brilliant year or one terrible year tells a buyer nothing about the future; the middle of several years tells him a great deal. Multiplying by years’ purchase then answers a different question — “for how many years do we believe this extra earning will last?” Three years’ purchase is simply the partners’ shared belief that the advantage will hold for about three years.

⚠ Common Mistake
Never divide by the number of years’ purchase. The average is found by dividing by the number of years of profit given; the years’ purchase is a multiplier that arrives afterwards. Two different numbers, two different jobs.
💡 Exam Tip
Write the three steps as three labelled lines even in a two-mark question. Boards award method marks, and a visible “Average Profit = …” line earns them even if the final multiplication slips.

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Weighted Average Profit Method

Suppose a firm’s profits have climbed steadily every year. A plain average treats the oldest, weakest year exactly like the newest, strongest one — which is unfair to a firm that is clearly improving. The weighted average method fixes this by giving recent years more say.

📌 Formula
Weighted Average Profit = Total of (Profit × Weight) ÷ Total of Weights
Goodwill = Weighted Average Profit × Number of Years’ Purchase
Example 7 — Weighted average with a rising trend
Profits of Aarav & Sons: 2021-22 — ₹ 90,000; 2022-23 — ₹ 1,05,000; 2023-24 — ₹ 1,20,000; 2024-25 — ₹ 1,35,000. Weights of 1, 2, 3 and 4 are to be used, and goodwill is 3 years’ purchase.

Step 1 — multiply each profit by its weight.
90,000 × 1 = 90,000
1,05,000 × 2 = 2,10,000
1,20,000 × 3 = 3,60,000
1,35,000 × 4 = 5,40,000
Total of products = ₹ 12,00,000; total of weights = 1 + 2 + 3 + 4 = 10
Step 2 — weighted average. 12,00,000 ÷ 10 = ₹ 1,20,000
Step 3 — goodwill. 1,20,000 × 3 = ₹ 3,60,000

Compare: the plain average would have been (90,000 + 1,05,000 + 1,20,000 + 1,35,000) ÷ 4 = ₹ 1,12,500, giving goodwill of only ₹ 3,37,500. The weighted method recognises the upward trend and rewards it by ₹ 22,500.

Why it works. A buyer is purchasing next year, not four years ago. If profits are rising, next year most resembles the latest year, so the latest year deserves the heaviest weight. If profits are falling, the same logic applies — heavier weight on the recent, weaker years pulls the valuation down, which is exactly right.

⚠ Common Mistake
Divide by the total of the weights (10 in the example above), never by the number of years (4). Dividing by 4 inflates the average by two and a half times and destroys the answer.
💡 Exam Tip
If a question gives profits with an obvious trend but does not state weights, use 1, 2, 3, 4… from oldest to newest and write one line saying why. Examiners accept this and it shows understanding.

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Adjustments to Normal Profits Before You Average Anything

This is where most marks are won and lost. The profits printed in a question are raw book profits. Before averaging, you must convert them into normal maintainable profits — the profit the firm can be expected to repeat, year after year. Anything unusual comes out; anything regular that was left out goes in.

What appears in the questionWhat you doReason
Abnormal gain (insurance claim, profit on sale of a fixed asset, lottery, speculation gain)Subtract from that year’s profitIt will not happen again next year.
Abnormal loss (fire, theft, flood, loss on sale of a fixed asset)Add back to that year’s profitNot a normal operating cost, so it understates true earning power.
Expense that should have been charged but was not (partner’s salary, rent of a partner’s premises, insurance premium)Subtract from every affected yearIt is a genuine future cost and must reduce maintainable profit.
Income earned but not recorded, expected to continueAdd to that year’s profitIt is a genuine recurring income.
Closing stock overvaluedSubtract from that year’s profitOvervalued closing stock inflates profit.
Closing stock undervaluedAdd to that year’s profitUndervalued closing stock deflates profit.
Non-trading income (interest on government bonds, rent from a let-out portion)Subtract if the related investment is excluded from capital employedOtherwise you count the same earning twice.
Learn the logic in column three and you will never need to memorise columns one and two.
📌 Key Rule — the repeatability test
Ask of every item: will this happen again next year? If no, remove its effect. If yes but it was missing, put it in. That single question replaces the whole table above.
Example 8 — A full adjustment working
Profits of Ritwik & Co.: 2022-23 — ₹ 1,20,000; 2023-24 — ₹ 1,45,000; 2024-25 — ₹ 1,60,000.
On checking, you find: (i) the 2023-24 profit includes an insurance claim of ₹ 15,000 received for a one-off flood; (ii) the 2024-25 profit is after charging a loss by fire of ₹ 10,000; (iii) a partner’s remuneration of ₹ 24,000 per year has not been charged in any year and is to be charged in future; (iv) the closing stock of 2024-25 was overvalued by ₹ 6,000. Goodwill is 2 years’ purchase of average profit.

2022-23: 1,20,000 − 24,000 (remuneration) = ₹ 96,000
2023-24: 1,45,000 − 15,000 (abnormal gain) − 24,000 = ₹ 1,06,000
2024-25: 1,60,000 + 10,000 (abnormal loss added back) − 24,000 − 6,000 (stock overvalued) = ₹ 1,40,000

Total adjusted profit = 96,000 + 1,06,000 + 1,40,000 = ₹ 3,42,000
Average profit = 3,42,000 ÷ 3 = ₹ 1,14,000
Goodwill = 1,14,000 × 2 = ₹ 2,28,000
Example 9 — Why the sign matters so much
Take only item (ii) from the example above and get the sign wrong. If you subtract the ₹ 10,000 fire loss instead of adding it back, the 2024-25 figure becomes 1,20,000 instead of 1,40,000.

New total = 96,000 + 1,06,000 + 1,20,000 = ₹ 3,22,000; average = ₹ 1,07,333.33; goodwill = ₹ 2,14,666.67.

One reversed sign has moved the answer by ₹ 13,333 and produced an ugly fraction. In this chapter, an ugly decimal is usually a warning bell rather than a genuine answer — go back and check your signs before you write it down.

Why it works. Remember that goodwill is the price of future extra earning. A flood claim will not arrive next year, so leaving it in would make a buyer pay for money he will never see. A partner’s salary that begins next year is a real future cost, so leaving it out would make the firm look more profitable than it will be. Every adjustment is simply honesty about the future.

⚠ Common Mistake
Charging a partner’s salary as an adjustment reduces profit in every year given, not only the last one. Students routinely subtract it once and lose the working marks for the other years.

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Super Profit Method

Capital Employed₹ 6,00,000Normal Rate15% per annumNormal Profit6,00,000 × 15% = ₹ 90,000Average Actual Profit₹ 1,20,000Super Profit1,20,000 − 90,000= ₹ 30,000× 4 years= ₹ 1,20,000÷ 15%= ₹ 2,00,000purchase routecapitalisation routeEvery super-profit sum walks left to right along this exact path.
Super profit computation flow from capital employed to two goodwill routes

The average profit method has one weakness: it ignores how much capital the firm needed to earn that profit. A firm earning ₹ 1,00,000 on capital of ₹ 3,00,000 is a far better business than one earning ₹ 1,00,000 on capital of ₹ 20,00,000, yet the average profit method values them the same. The super profit method repairs this.

📌 The three-line formula
Normal Profit = Capital Employed × Normal Rate of Return
Super Profit = Average (Maintainable) Profit − Normal Profit
Goodwill = Super Profit × Number of Years’ Purchase

Capital employed is normally taken as Total Assets (excluding goodwill, fictitious assets and non-trade investments) minus Outside Liabilities. In most Class 12 questions it is simply given to you, or it equals the partners’ total capital plus reserves.

Example 10 — Basic super profit
Kabir & Co. has capital employed of ₹ 8,00,000. The normal rate of return in this industry is 12%. The firm’s average maintainable profit is ₹ 1,40,000. Goodwill is 3 years’ purchase of super profit.

Normal profit = 8,00,000 × 12% = ₹ 96,000
Super profit = 1,40,000 − 96,000 = ₹ 44,000
Goodwill = 44,000 × 3 = ₹ 1,32,000
Example 11 — Super profit with a partner’s remuneration to deduct
Devanshi & Co. has capital employed of ₹ 10,00,000 and the normal rate of return is 10%. The average profit of the last four years is ₹ 1,60,000, but this is before charging the managing partner’s remuneration of ₹ 25,000 per year, which will be charged from now on. Goodwill is 2.5 years’ purchase of super profit.

Step 1 — adjusted average profit. 1,60,000 − 25,000 = ₹ 1,35,000
Step 2 — normal profit. 10,00,000 × 10% = ₹ 1,00,000
Step 3 — super profit. 1,35,000 − 1,00,000 = ₹ 35,000
Step 4 — goodwill. 35,000 × 2.5 = ₹ 87,500

Skipping step 1 would have given super profit of ₹ 60,000 and goodwill of ₹ 1,50,000 — an error of ₹ 62,500 from one missed line.
Example 12 — When super profit turns out to be negative
A firm has capital employed of ₹ 7,00,000, a normal rate of return of 15%, and an average maintainable profit of ₹ 90,000.

Normal profit = 7,00,000 × 15% = ₹ 1,05,000
Super profit = 90,000 − 1,05,000 = −₹ 15,000

The super profit is negative, so the firm earns less than a normal business would. Goodwill is taken as nil. You never record negative goodwill in a partnership question. Write the working, state the conclusion, and move on.

Why it works. Think of the normal rate of return as the rent that capital charges. Any owner could park ₹ 8,00,000 in an ordinary business and collect 12%. Only the profit above that is genuinely produced by the firm’s reputation, skill and customer base — and only that part deserves to be paid for. Super profit isolates it exactly.

⚠ Common Mistake
Capital employed and average profit must belong to the same firm and the same period. If a question gives “capital invested” at the start of the year and “capital” at the end, use the average of the two unless told otherwise, and say so in one line.
💡 Exam Tip
If the phrase “normal rate of return” appears anywhere in a question, the answer is never the plain average profit method. Underline that phrase the moment you see it.

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Capitalisation of Average Profit and Capitalisation of Super Profit

Capitalisation reverses the direction of thinking. Instead of asking “how many years of extra profit shall we pay for?”, it asks “if this profit were normal, how much capital would a firm need to produce it?” Dividing a profit by a rate answers that question, and the answer is called the capitalised value.

📌 Two routes, one destination
Capitalisation of Average Profit
Capitalised Value of the Firm = Average Profit ÷ Normal Rate of Return
Goodwill = Capitalised Value − Capital Employed (net assets)

Capitalisation of Super Profit
Goodwill = Super Profit ÷ Normal Rate of Return

When capital employed and net assets are the same figure, both routes must give exactly the same goodwill.
Example 13 — Capitalisation of average profit
Ishaan & Co. earns an average maintainable profit of ₹ 1,50,000. The normal rate of return is 12.5%. The net assets of the firm (assets excluding goodwill, less outside liabilities) are ₹ 9,50,000.

Step 1 — capitalised value of the firm.
1,50,000 ÷ 12.5% = 1,50,000 × 100 ÷ 12.5 = ₹ 12,00,000
Step 2 — goodwill.
12,00,000 − 9,50,000 = ₹ 2,50,000

In plain words: a normal firm would need ₹ 12,00,000 of capital to earn ₹ 1,50,000. This firm earns it with only ₹ 9,50,000. The ₹ 2,50,000 it does not need is its reputation.
Example 14 — Both routes on the same firm
Priyal & Co. has capital employed (net assets) of ₹ 6,00,000, a normal rate of return of 15%, and an average maintainable profit of ₹ 1,20,000.

Route A — capitalisation of average profit
Capitalised value = 1,20,000 ÷ 15% = ₹ 8,00,000
Goodwill = 8,00,000 − 6,00,000 = ₹ 2,00,000

Route B — capitalisation of super profit
Normal profit = 6,00,000 × 15% = ₹ 90,000
Super profit = 1,20,000 − 90,000 = ₹ 30,000
Goodwill = 30,000 ÷ 15% = ₹ 2,00,000

Identical, as they must be. Use Route B as a thirty-second check on Route A in the exam hall.

Why it works. A rate of return and a capital amount are two sides of the same coin. Saying “12.5% return” is the same as saying “eight rupees of capital for every one rupee of annual profit”, because 1 ÷ 0.125 = 8. So dividing profit by the rate simply converts a yearly earning into the lump of capital that ordinarily produces it. Anything the firm earns without needing that lump is goodwill.

Purchase methods (average, weighted, super)Capitalisation methods
Core operationMultiply by years’ purchaseDivide by normal rate of return
What it producesA negotiated price for a few years of advantageThe total capital value implied by the earnings
Needs capital employed?Only the super profit method doesAlways
Typical answer sizeSmallerLarger, because it assumes the advantage lasts indefinitely
Give-away words in the question“at three years’ purchase”“capitalising”, “capitalised value”, “value of the firm”
The four methods side by side, sorted into their two families.
⚠ Common Mistake
When converting a percentage, multiply by 100 and divide by the rate — do not divide by the rate written as a whole number. 1,50,000 ÷ 12.5 is 12,000, which is nonsense. 1,50,000 × 100 ÷ 12.5 is 12,00,000, which is the answer.
💡 Exam Tip
Capitalisation of average profit needs net assets. If a balance sheet is given, compute net assets as: all assets (excluding goodwill already in the books and any fictitious assets) minus all outside liabilities. Do not include partners’ capital as a liability.

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Change in Profit-Sharing Ratio Among Existing Partners

Now the second half of the chapter. Nobody joins the firm and nobody leaves. The same partners simply agree that from a certain date they will share profits differently — perhaps because one partner is reducing his working hours, or another has brought in extra capital, or a partner has taken over a new territory.

This looks harmless, but accounting treats it as a serious event. Think of the firm as a pizza that the partners have been baking together for years. Changing the ratio means someone hands over a slice he already owned. The slice contains a share of everything the firm has quietly built up but never recorded: its goodwill, its reserves and the hidden increase in the value of its assets. The partner receiving the slice must pay for all of it.

📌 Key Idea — the four things that must be settled
On a change in the profit-sharing ratio, in this order:
1. Value goodwill and adjust it between the sacrificing and gaining partners.
2. Distribute reserves and accumulated profits or losses.
3. Revalue assets and reassess liabilities, and share the resulting profit or loss.
4. Adjust the partners’ capital accounts and prepare the new balance sheet.
Every one of these is shared in the old ratio or adjusted through sacrifice and gain — never in the new ratio alone.
Example 15 — Reading a change of ratio correctly
A, B and C share profits in the ratio 3:2:1. From 1 April 2026 they decide to share equally.

Old shares (denominator 6): A = 3/6, B = 2/6, C = 1/6
New shares (equal, so 1/3 each, written over 6): A = 2/6, B = 2/6, C = 2/6

A has gone from 3/6 to 2/6 — his share has fallen.
B has gone from 2/6 to 2/6 — no change at all.
C has gone from 1/6 to 2/6 — his share has risen.

So A gives up, C receives, and B is a bystander. Before writing any entry, always produce these three lines. They decide the entire question.
💡 Exam Tip
Always rewrite old and new shares over a common denominator before comparing them. Comparing 3:2:1 with 1:1:1 by eye is how students convince themselves that B has gained something. Over sixths, it is obvious that B has not moved.

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Sacrificing Ratio and Gaining Ratio

old sharePartner A3/62/6sacrifice 1/6Partner B2/62/6no changePartner C1/62/6gain 1/6old ratio 3:2:1new ratio 1:1:11/6 leaves A and lands on C
Sacrificing and gaining ratio drawn as bars for a 3:2:1 to 1:1:1 change

These two ratios are the engine of the whole second half. Both are found from one subtraction, done in two directions.

📌 The two formulas
Sacrificing Share = Old Share − New Share (a positive answer means the partner has sacrificed)
Gaining Share = New Share − Old Share (a positive answer means the partner has gained)

Do only the first subtraction for every partner. A positive result is a sacrifice; a negative result is a gain of that same size.
Sacrificing RatioGaining Ratio
FormulaOld Share − New ShareNew Share − Old Share
Who has itPartners whose share has fallenPartners whose share has risen
Effect on the capital accountCredited with goodwill compensationDebited with goodwill compensation
Where else you meet itAdmission of a partnerRetirement or death of a partner
Total across all partnersTotal sacrifice = Total gain, alwaysTotal gain = Total sacrifice, always
Sacrificing versus gaining ratio — two views of the same movement.
Example 16 — Sacrifice and gain from 3:2:1 to equal
A, B and C share 3:2:1 and now share equally.

A: 3/6 − 2/6 = 1/6 sacrifice
B: 2/6 − 2/6 = nil
C: 1/6 − 2/6 = −1/6, that is 1/6 gain

Check: total sacrifice 1/6 = total gain 1/6. Correct.
Sacrificing ratio: A alone, 1/6. Gaining ratio: C alone, 1/6.
Example 17 — A ratio that reverses completely
X, Y and Z share profits 5:3:2 and decide to share them 2:3:5 with effect from 1 April 2026.

X: 5/10 − 2/10 = 3/10 sacrifice
Y: 3/10 − 3/10 = nil
Z: 2/10 − 5/10 = −3/10, that is 3/10 gain

Check: 3/10 sacrificed, 3/10 gained. Correct.
Even though all three numbers in the ratio look different, only two partners are actually involved in any adjustment.
Example 18 — A two-partner change
P and Q share profits 3:2 and decide to share equally.

P: 3/5 − 1/2. Over tenths: 6/10 − 5/10 = 1/10 sacrifice
Q: 2/5 − 1/2 = 4/10 − 5/10 = −1/10, that is 1/10 gain

If the goodwill of the firm is valued at ₹ 2,00,000, the amount to be adjusted is 2,00,000 × 1/10 = ₹ 20,000, moving from Q to P.

Why it works. A partner’s share of profit is a claim on every future rupee the firm earns. When that claim shrinks by 1/6, the partner has handed over 1/6 of all future earning power — which is precisely 1/6 of the firm’s goodwill. The partner whose claim grows by 1/6 has received exactly that. Multiplying the firm’s goodwill by the sacrifice or gain fraction is therefore not a rule to memorise; it is the definition of goodwill applied to a fraction.

⚠ Common Mistake
A partner whose share does not change is not a bystander when reserves and revaluation are involved — but for the goodwill adjustment he genuinely is. Do not force B into the goodwill entry just because his name is in the question.
⚠ Common Mistake
Total sacrifice must always equal total gain. If yours do not tally, you have compared the wrong fractions or used different denominators. Fix it before writing a single journal entry — everything after this point depends on it.

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Treatment of Goodwill on Change in Ratio — Change in Profit Sharing Ratio Journal Entries

Here is the good news: on a change in ratio there is only one goodwill entry to learn. Because no cash comes in from outside, the compensation simply moves from the gaining partner’s capital account to the sacrificing partner’s capital account.

📌 The only goodwill entry you need
Gaining Partner’s Capital A/c   Dr.
        To Sacrificing Partner’s Capital A/c
(Being adjustment for goodwill on change in profit-sharing ratio)

Amount = Firm’s Goodwill × Gaining (or Sacrificing) Share.
Never open a Goodwill Account for this. Never bring in cash.
Example 19 — The complete goodwill adjustment entry
A, B and C share 3:2:1 and change to equal sharing. The goodwill of the firm is valued at ₹ 3,60,000. Goodwill is not to appear in the books.

Step 1 — sacrifice and gain. A sacrifices 1/6; B nil; C gains 1/6 (worked out in Example 16).
Step 2 — amount. 3,60,000 × 1/6 = ₹ 60,000
Step 3 — the entry.
ParticularsDr (₹)Cr (₹)
C’s Capital A/c   Dr.60,000
    To A’s Capital A/c60,000
(Being adjustment for goodwill on change in profit-sharing ratio)
B’s capital account is not touched, because B neither gained nor sacrificed.
Example 20 — When goodwill already appears in the books
P and Q share 3:2 and decide to share equally. Goodwill already stands in the books at ₹ 40,000, and the firm’s goodwill is now valued at ₹ 2,00,000. Goodwill is not to appear in the books.

Step 1 — write off the existing goodwill in the OLD ratio 3:2.
P: 40,000 × 3/5 = ₹ 24,000    Q: 40,000 × 2/5 = ₹ 16,000
ParticularsDr (₹)Cr (₹)
P’s Capital A/c   Dr.24,000
Q’s Capital A/c   Dr.16,000
    To Goodwill A/c40,000
(Being existing goodwill written off among the partners in their old ratio)
Step 2 — adjust the new valuation. P sacrifices 1/10, Q gains 1/10 (Example 18). Amount = 2,00,000 × 1/10 = ₹ 20,000.
ParticularsDr (₹)Cr (₹)
Q’s Capital A/c   Dr.20,000
    To P’s Capital A/c20,000
(Being adjustment for goodwill on change in profit-sharing ratio)
Net effect on P: debited 24,000, credited 20,000, so his capital falls by ₹ 4,000.
Net effect on Q: debited 16,000 and 20,000, so his capital falls by ₹ 36,000. Together the capitals fall by ₹ 40,000, which is exactly the goodwill removed from the assets. The balance sheet still balances.
Example 21 — Reversing ratio, full entry
X, Y and Z share 5:3:2 and change to 2:3:5. Goodwill of the firm is valued at ₹ 1,50,000.

From Example 17: X sacrifices 3/10, Z gains 3/10, Y nil.
Amount = 1,50,000 × 3/10 = ₹ 45,000
ParticularsDr (₹)Cr (₹)
Z’s Capital A/c   Dr.45,000
    To X’s Capital A/c45,000
(Being adjustment for goodwill on change in profit-sharing ratio)

Why it works. The existing goodwill in the books was earned under the old arrangement, so it belongs to the partners in the old ratio — hence writing it off in 3:2, not in the new ratio. The fresh valuation is then handled as a pure transfer, because the firm as a whole has neither gained nor lost anything; only the partners’ claims on each other have shifted. Total capital of the firm stays exactly the same, which is why the two amounts in the entry are equal.

⚠ Common Mistake
Existing goodwill is written off in the old ratio, not in the sacrificing ratio and not in the new ratio. This single line accounts for a large share of the marks lost on this topic every year.
💡 Exam Tip
If the question says goodwill is to remain in the books at its new value, you raise it by debiting Goodwill A/c and crediting all partners’ capital accounts in the old ratio. CBSE rarely asks this now, but recognise it if it appears.

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Reserves and Accumulated Profits or Losses

A general reserve sitting on the balance sheet is profit the partners earned in earlier years and chose not to withdraw. It belongs to them in the ratio in which they were sharing when it was created — the old ratio. The same is true of a credit balance in the Profit and Loss Account. Accumulated losses and fictitious assets such as deferred advertisement expenditure work the same way with the signs reversed.

📌 Key Rule — the old ratio always wins
Everything that piled up before the change belongs to the partners in the old ratio. Reserves, credit balance of Profit and Loss Account, workmen compensation reserve in excess of the liability, investment fluctuation reserve in excess — all credited in the old ratio. Debit balance of Profit and Loss Account, advertisement suspense and deferred revenue expenditure — all debited in the old ratio.
Example 22 — Distributing reserves and an accumulated loss
A, B and C share 3:2:1 and are changing their ratio. Their balance sheet shows: General Reserve ₹ 90,000; Profit and Loss Account (credit) ₹ 30,000; Advertisement Suspense Account (debit) ₹ 24,000. All are to be distributed.

Credits (90,000 + 30,000 = ₹ 1,20,000):
A: 1,20,000 × 3/6 = ₹ 60,000  |  B: × 2/6 = ₹ 40,000  |  C: × 1/6 = ₹ 20,000
ParticularsDr (₹)Cr (₹)
General Reserve A/c   Dr.90,000
Profit and Loss A/c   Dr.30,000
    To A’s Capital A/c60,000
    To B’s Capital A/c40,000
    To C’s Capital A/c20,000
(Being reserves and accumulated profits distributed among the partners in their old ratio)
Debit (₹ 24,000): A ₹ 12,000, B ₹ 8,000, C ₹ 4,000
ParticularsDr (₹)Cr (₹)
A’s Capital A/c   Dr.12,000
B’s Capital A/c   Dr.8,000
C’s Capital A/c   Dr.4,000
    To Advertisement Suspense A/c24,000
(Being accumulated loss written off among the partners in their old ratio)
Net credit: A ₹ 48,000, B ₹ 32,000, C ₹ 16,000. Notice these are in the ratio 48:32:16, which is 3:2:1 — a fast check that you have not slipped.

Why it works. Suppose the reserve were left alone. Next year, if the firm were wound up, that reserve would be shared in the new ratio — handing the gaining partner a share of money earned before he was entitled to it. Distributing it now, in the old ratio, freezes each partner’s rightful claim at the moment the arrangement changed. That is the whole purpose.

⚠ Common Mistake
Do not distribute a Workmen Compensation Reserve blindly. Only the amount in excess of the actual claim goes to the partners; the claim itself becomes a liability. The same care applies to an Investment Fluctuation Reserve when the market value of the investment has fallen.

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Revaluation of Assets and Reassessment of Liabilities

Book values drift away from reality. Land bought in 2009 sits in the books at cost while its market value has tripled; a machine may be worth less than its book figure; a creditor may have been forgotten altogether. On a change in ratio, these hidden gains and losses must be recognised so that they land in the old ratio, where they were earned.

The tool for this is the Revaluation Account, also called the Profit and Loss Adjustment Account. It is a nominal account: losses on the debit side, gains on the credit side, and the balancing figure is the revaluation profit or loss shared in the old ratio.

📌 Which side does it go on?
Credit the Revaluation Account when an asset increases in value, a liability decreases, or a liability turns out not to be payable at all.
Debit the Revaluation Account when an asset decreases in value, a provision has to be created or increased, or an unrecorded liability comes to light.
Remember it as: good news for the firm → credit; bad news → debit.
Example 23 — A full Revaluation Account
A, B and C share 3:2:1 and are changing their ratio. On the date of change:
(i) Land is to be appreciated by ₹ 80,000
(ii) Stock is to be reduced by ₹ 15,000
(iii) A provision for doubtful debts of ₹ 5,000 is to be created
(iv) An unrecorded creditor of ₹ 10,000 is to be brought into the books
(v) Outstanding wages of ₹ 4,000 are no longer payable

Credit side (gains): Land 80,000 + Outstanding wages written back 4,000 = ₹ 84,000
Debit side (losses): Stock 15,000 + Provision for doubtful debts 5,000 + Unrecorded creditor 10,000 = ₹ 30,000

Profit on revaluation = 84,000 − 30,000 = ₹ 54,000
Shared in the old ratio 3:2:1 — A ₹ 27,000, B ₹ 18,000, C ₹ 9,000.
ParticularsDr (₹)Cr (₹)
Revaluation A/c   Dr.54,000
    To A’s Capital A/c27,000
    To B’s Capital A/c18,000
    To C’s Capital A/c9,000
(Being profit on revaluation transferred to the partners’ capital accounts in their old ratio)
Example 24 — When revaluation produces a loss
Using the same partners and ratio, suppose instead: machinery is reduced by ₹ 60,000, furniture is appreciated by ₹ 12,000, and a claim for damages of ₹ 18,000 is admitted.

Credit side: 12,000. Debit side: 60,000 + 18,000 = 78,000.
Loss on revaluation = 78,000 − 12,000 = ₹ 66,000
Shared 3:2:1 — A ₹ 33,000, B ₹ 22,000, C ₹ 11,000.
ParticularsDr (₹)Cr (₹)
A’s Capital A/c   Dr.33,000
B’s Capital A/c   Dr.22,000
C’s Capital A/c   Dr.11,000
    To Revaluation A/c66,000
(Being loss on revaluation transferred to the partners’ capital accounts in their old ratio)
The entry is simply the mirror image of the profit entry. Capital accounts are debited instead of credited.

Why it works. The increase in the value of that land did not happen on the day the partners signed a new agreement — it happened gradually over the years they were sharing 3:2:1. Recognising it now, in the old ratio, gives each partner exactly the share of the increase that accrued while he was entitled to it. Waiting until later would silently transfer part of A’s land appreciation to C.

⚠ Common Mistake
An increase in a provision for doubtful debts is a loss and is debited to the Revaluation Account. A decrease in that provision is a gain and is credited. Students frequently treat every provision as a loss out of habit.
💡 Exam Tip
Draw the Revaluation Account as a rough T on your answer sheet even when the question only asks for journal entries. It takes forty seconds and it catches sign errors before they reach the capital accounts.

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Adjustment Through a Single Journal Entry — The Basket Rule

Many questions end with a sentence like this: “The partners do not want to record the goodwill, distribute the reserves or alter the book values of assets and liabilities. Pass a single journal entry to give effect to the above.” Students often panic here and start passing four entries and then reversing three of them. There is a much calmer way, and it is the one original idea I want you to carry out of this chapter.

📌 The Basket Rule — the memory device for this chapter
Every item that is not to be recorded — goodwill, reserves, accumulated profits, revaluation profit — has one thing in common: it belongs to the partners in the OLD ratio but would otherwise be enjoyed in the NEW ratio.

So tip all of them into one basket:
Basket = Goodwill + Reserves + Accumulated Profit − Accumulated Loss + Revaluation Profit − Revaluation Loss

Then move one number:
Amount = Basket × Sacrificing (or Gaining) Share
Entry: Gaining Partner’s Capital A/c Dr.  To Sacrificing Partner’s Capital A/c

One basket, one multiplication, one entry. That is the entire technique.

It works because each of those items is being shared in the old ratio and then implicitly re-shared in the new ratio. The net movement for any partner is always (old share − new share) × item. Since the fraction is the same for every item, you can add the items up first and multiply once at the end. Distributive law, nothing more.

Example 25 — The Basket Rule in action
A, B and C share profits 3:2:1 and decide to share equally with effect from 1 April 2026. On that date the books show a General Reserve of ₹ 36,000. Goodwill of the firm is valued at ₹ 90,000. Revaluation of assets and liabilities shows a profit of ₹ 54,000. The partners want none of these recorded in the books. Pass a single journal entry.

Step 1 — sacrifice and gain. A sacrifices 1/6, B nil, C gains 1/6.

Step 2 — fill the basket.
Goodwill 90,000 + General Reserve 36,000 + Revaluation Profit 54,000 = ₹ 1,80,000

Step 3 — one multiplication. 1,80,000 × 1/6 = ₹ 30,000

Step 4 — the entry.
ParticularsDr (₹)Cr (₹)
C’s Capital A/c   Dr.30,000
    To A’s Capital A/c30,000
(Being adjustment for goodwill, general reserve and revaluation profit on change in profit-sharing ratio, without altering the books)
Example 26 — Proving the Basket Rule item by item
The long way round, for the same figures, so that you trust the shortcut.

Goodwill ₹ 90,000 — old ratio: A 45,000, B 30,000, C 15,000. New ratio: 30,000 each. Difference: A +15,000, B nil, C −15,000.
General Reserve ₹ 36,000 — old: A 18,000, B 12,000, C 6,000. New: 12,000 each. Difference: A +6,000, B nil, C −6,000.
Revaluation Profit ₹ 54,000 — old: A 27,000, B 18,000, C 9,000. New: 18,000 each. Difference: A +9,000, B nil, C −9,000.

Totals: A + (15,000 + 6,000 + 9,000) = +₹ 30,000; B nil; C − (15,000 + 6,000 + 9,000) = −₹ 30,000

Identical to the one-line basket answer. Nine multiplications replaced by one.
Example 27 — Basket Rule with an accumulated loss inside
X, Y and Z share 5:3:2 and change to 2:3:5. On that date: Goodwill ₹ 1,50,000; General Reserve ₹ 60,000; Profit and Loss Account (debit balance) ₹ 20,000; Revaluation Loss ₹ 30,000. None of this is to be recorded.

Step 1. X sacrifices 3/10, Y nil, Z gains 3/10.
Step 2 — fill the basket, watching the signs.
1,50,000 (goodwill) + 60,000 (reserve) − 20,000 (accumulated loss) − 30,000 (revaluation loss) = ₹ 1,60,000
Step 3. 1,60,000 × 3/10 = ₹ 48,000
Step 4.
ParticularsDr (₹)Cr (₹)
Z’s Capital A/c   Dr.48,000
    To X’s Capital A/c48,000
(Being single adjusting entry passed for goodwill, reserves, accumulated loss and revaluation loss on change in profit-sharing ratio)
Losses reduce the basket. If the basket ever comes out negative, the entry simply flips: the sacrificing partner is debited and the gaining partner is credited.
⚠ Common Mistake
The Basket Rule works only when EVERY item is left unrecorded and the sacrifice-and-gain pattern is the same for all of them — which it always is on a change in ratio. If the question asks you to actually distribute the reserve and only adjust goodwill separately, do not use the basket; pass the entries individually.
💡 Exam Tip
Even when you use the shortcut, write the basket out as a labelled addition on your answer sheet. Examiners award marks for the working, and a visible line reading “Basket = 90,000 + 36,000 + 54,000 = 1,80,000” earns them in seconds. Practise this pattern against a full paper such as the PA 1 sample paper for Class 12 Accountancy, where change-of-ratio questions turn up alongside fundamentals.

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Practice Worksheet

Ten original questions covering every method and every entry on this page. Cover the answers, work each one on paper, and only then open the accordion. Getting a question wrong after a real attempt teaches you far more than reading a solved one.

Q1. The profits of Tanvi Traders for four years were ₹ 62,000, ₹ 78,000, ₹ 85,000 and ₹ 95,000. Calculate goodwill at 3 years’ purchase of the average profit.

Show Answer
Total profit = 62,000 + 78,000 + 85,000 + 95,000 = ₹ 3,20,000
Average profit = 3,20,000 ÷ 4 = ₹ 80,000
Goodwill = 80,000 × 3 = ₹ 2,40,000

Q2. Profits of Mehul & Co. were: 2022-23 ₹ 1,10,000; 2023-24 ₹ 1,30,000; 2024-25 ₹ 1,52,000. On checking you find that the 2023-24 profit includes an abnormal gain of ₹ 20,000, the 2024-25 profit is after charging a loss by theft of ₹ 12,000, and rent of ₹ 18,000 per year for a partner’s premises has not been charged in any year. Calculate goodwill at 2 years’ purchase of the average profit.

Show Answer
2022-23: 1,10,000 − 18,000 = ₹ 92,000
2023-24: 1,30,000 − 20,000 − 18,000 = ₹ 92,000
2024-25: 1,52,000 + 12,000 − 18,000 = ₹ 1,46,000
Total = ₹ 3,30,000; Average = 3,30,000 ÷ 3 = ₹ 1,10,000
Goodwill = 1,10,000 × 2 = ₹ 2,20,000

Q3. Profits of Sanya & Sons were ₹ 84,000, ₹ 96,000 and ₹ 1,14,000 for three successive years. Weights of 1, 2 and 3 are to be used. Calculate goodwill at 2 years’ purchase of the weighted average profit.

Show Answer
Products: 84,000 × 1 = 84,000; 96,000 × 2 = 1,92,000; 1,14,000 × 3 = 3,42,000
Total of products = ₹ 6,18,000; total of weights = 6
Weighted average profit = 6,18,000 ÷ 6 = ₹ 1,03,000
Goodwill = 1,03,000 × 2 = ₹ 2,06,000

Q4. A firm has capital employed of ₹ 5,00,000 and the normal rate of return is 14%. Its average maintainable profit is ₹ 1,00,000. Calculate goodwill at 3 years’ purchase of the super profit.

Show Answer
Normal profit = 5,00,000 × 14% = ₹ 70,000
Super profit = 1,00,000 − 70,000 = ₹ 30,000
Goodwill = 30,000 × 3 = ₹ 90,000

Q5. The average profit of a firm is ₹ 96,000 and the normal rate of return is 12%. The net assets of the firm are ₹ 7,00,000. Calculate goodwill by the capitalisation of average profit method.

Show Answer
Capitalised value of the firm = 96,000 × 100 ÷ 12 = ₹ 8,00,000
Goodwill = 8,00,000 − 7,00,000 = ₹ 1,00,000

Q6. A firm has capital employed of ₹ 4,50,000, a normal rate of return of 16% and an average maintainable profit of ₹ 1,08,000. Calculate goodwill by the capitalisation of super profit method, and verify it using the capitalisation of average profit method.

Show Answer
Normal profit = 4,50,000 × 16% = ₹ 72,000
Super profit = 1,08,000 − 72,000 = ₹ 36,000
Goodwill = 36,000 × 100 ÷ 16 = ₹ 2,25,000

Verification: Capitalised value = 1,08,000 × 100 ÷ 16 = ₹ 6,75,000; Goodwill = 6,75,000 − 4,50,000 = ₹ 2,25,000. The two methods agree.

Q7. L, M and N share profits in the ratio 4:3:2. They decide to share profits 2:3:4 in future. Goodwill of the firm is valued at ₹ 1,08,000. Calculate the sacrificing and gaining shares and pass the necessary journal entry.

Show Answer
L: 4/9 − 2/9 = 2/9 sacrifice
M: 3/9 − 3/9 = nil
N: 2/9 − 4/9 = −2/9, that is 2/9 gain
Amount = 1,08,000 × 2/9 = ₹ 24,000

N’s Capital A/c  Dr.  ₹ 24,000
    To L’s Capital A/c  ₹ 24,000
(Being adjustment for goodwill on change in profit-sharing ratio)

Q8. P and Q share profits in the ratio 5:3 and decide to share equally. Goodwill of the firm is valued at ₹ 1,28,000 and is not to appear in the books. Pass the journal entry.

Show Answer
P: 5/8 − 1/2 = 5/8 − 4/8 = 1/8 sacrifice
Q: 3/8 − 4/8 = −1/8, that is 1/8 gain
Amount = 1,28,000 × 1/8 = ₹ 16,000

Q’s Capital A/c  Dr.  ₹ 16,000
    To P’s Capital A/c  ₹ 16,000
(Being adjustment for goodwill on change in profit-sharing ratio)

Q9. R, S and T share profits 5:3:2 and are changing their ratio. Their books show a General Reserve of ₹ 72,000, a credit balance in the Profit and Loss Account of ₹ 18,000, and Deferred Revenue Expenditure of ₹ 15,000. All are to be distributed. Show the net amount credited to each partner.

Show Answer
Total credits = 72,000 + 18,000 = ₹ 90,000, shared 5:3:2 → R ₹ 45,000, S ₹ 27,000, T ₹ 18,000
Deferred revenue expenditure ₹ 15,000 debited 5:3:2 → R ₹ 7,500, S ₹ 4,500, T ₹ 3,000

Net credit — R ₹ 37,500; S ₹ 22,500; T ₹ 15,000
Check: 37,500 : 22,500 : 15,000 reduces to 5:3:2. Correct.

Q10. D, E and F share profits 5:3:2 and change to an equal ratio. On that date: Goodwill is valued at ₹ 1,20,000; General Reserve stands at ₹ 60,000; revaluation of assets and liabilities shows a profit of ₹ 30,000. None of this is to be recorded in the books. Pass a single journal entry using the Basket Rule.

Show Answer
Step 1 — sacrifice and gain (over thirtieths).
D: 5/10 − 1/3 = 15/30 − 10/30 = 5/30 sacrifice
E: 3/10 − 1/3 = 9/30 − 10/30 = −1/30, that is 1/30 gain
F: 2/10 − 1/3 = 6/30 − 10/30 = −4/30, that is 4/30 gain
Check: sacrifice 5/30 = gains 1/30 + 4/30. Correct.

Step 2 — the basket. 1,20,000 + 60,000 + 30,000 = ₹ 2,10,000

Step 3 — amounts.
D credited: 2,10,000 × 5/30 = ₹ 35,000
E debited: 2,10,000 × 1/30 = ₹ 7,000
F debited: 2,10,000 × 4/30 = ₹ 28,000
Check: 7,000 + 28,000 = 35,000. Correct.

E’s Capital A/c  Dr.  ₹ 7,000
F’s Capital A/c  Dr.  ₹ 28,000
    To D’s Capital A/c  ₹ 35,000
(Being single adjusting entry for goodwill, general reserve and revaluation profit on change in profit-sharing ratio)

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You now have both halves of this chapter in one place. The natural next step is Admission of a Partner, where the same sacrificing ratio reappears — except that a new partner brings cash in from outside. After that, Retirement or Death of a Partner uses the gaining ratio in the mirror image of everything you learned here. The Basket Rule you picked up today will carry into both.

Kaizen closing line: you do not need to master this chapter tonight. Just aim for one more correct answer than yesterday — one more sacrifice fraction found without hesitating, one more journal entry written without checking which partner to debit. Ten such small days and this chapter belongs to you.

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