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📘 Chapter 4 Class 12 Accountancy CBSE Code 055

Retirement of a Partner
Complete Chapter Notes

The mirror image of admission. Learn how the new ratio and gaining ratio are calculated when a partner leaves, how the retiring partner is compensated for goodwill, how the amount due is settled under Section 37, and how the loan account and capital adjustment are prepared — with a solved numerical for every case.

20MCQs
20Quiz Qs
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📌 The Core Idea

Retirement Is Admission in Reverse

In admission, a new partner buys a share of future profits and the old partners sacrifice. In retirement, the opposite happens: the remaining partners gain the share given up by the retiring partner, so they must compensate him. Everything he has earned till the date of retirement — capital, share of goodwill, reserves and revaluation profit — is calculated, credited to his account, and then paid or converted into a loan.

1. Meaning of Retirement and Amount Payable

Retirement means that an existing partner leaves the firm while the remaining partners continue the business. As per Section 32 of the Indian Partnership Act, 1932, a partner may retire in three ways: (i) with the consent of all the other partners, (ii) as per an express agreement among the partners, or (iii) by giving a written notice to the other partners, where the partnership is at will.

The retiring partner is entitled to receive:

1

Capital Balance

The credit balance of his capital account (and current account, if any) on the date of retirement.

2

Share of Goodwill

His share of the goodwill of the firm, contributed by the gaining partners.

3

Share of Reserves

His share of reserves and accumulated profits, in the old ratio.

4

Revaluation Profit

His share of the profit on revaluation of assets and liabilities.

5

Interest / Salary Due

Any interest on capital or salary due up to the date of retirement.

6

Less: Deductions

Drawings, interest on drawings, share of accumulated losses and revaluation loss are deducted.

🎯 Exam Tip: The rules of this chapter also apply on the death of a partner. The only difference is that the amount due to a deceased partner is paid to his executors. The death of a partner is covered in detail in the next chapter.

2. New Profit-Sharing Ratio After Retirement

The new ratio is the ratio in which the remaining partners will share future profits. If the question gives no other information, the remaining partners are assumed to continue in their old ratio among themselves. If they acquire the retiring partner’s share in an agreed proportion, add each partner’s acquired portion to his old share.

📈 Numerical 1 — New Ratio and Gaining Ratio
Question: A, B and C share profits in the ratio 5 : 3 : 2. B retires. Calculate the new ratio and the gaining ratio if (i) no other information is given, and (ii) A and C acquire B’s share equally.

Solution (i): A and C continue in their old mutual ratio of 5 : 2. New ratio = 5 : 2 and gaining ratio = 5 : 2 (they gain in their old ratio).

Solution (ii): B’s share = 3/10, taken equally, so each gains 1.5/10 = 3/20. A’s new share = 10/20 + 3/20 = 13/20. C’s new share = 4/20 + 3/20 = 7/20. New ratio = 13 : 7 and gaining ratio = 1 : 1.

3. Gaining Ratio

Gaining Ratio = New Ratio − Old Ratio
If nothing is specified, the remaining partners gain in their old mutual ratio

The gaining ratio decides who pays the retiring partner for goodwill and how much. It is needed because the remaining partners acquire the retiring partner’s share of future profits, and compensation must follow the gain.

4. Distinction Between Sacrificing Ratio and Gaining Ratio

BasisSacrificing RatioGaining Ratio
MeaningRatio in which partners give up a part of their shareRatio in which partners acquire an additional share
FormulaOld Ratio − New RatioNew Ratio − Old Ratio
When calculatedMainly on admission of a partner (and on a change in ratio)Mainly on retirement or death of a partner (and on a change in ratio)
PurposeTo divide the premium for goodwill brought by the new partnerTo decide the contribution of remaining partners towards the goodwill of the outgoing partner
Effect on shareShare of the partner decreasesShare of the partner increases

5. Accounting Treatment of Goodwill on Retirement

The retiring partner helped build the goodwill of the firm, so he must be compensated for his share of it. As per AS-26, a Goodwill Account cannot be raised; the adjustment is made through the capital accounts:

Gaining Partners’ Capital A/cs  Dr. (in gaining ratio)  →  To Retiring Partner’s Capital A/c
Amount = Goodwill of the firm × Share of the retiring partner
⚠ First Step Always: If goodwill already appears in the books, write it off among ALL partners (including the retiring partner) in the OLD ratio: All Partners’ Capital A/cs Dr. → To Goodwill A/c.
📈 Numerical 2 — Goodwill on Retirement
Question: X, Y and Z share profits 5 : 3 : 2. Y retires. Goodwill already appears in the books at ₹50,000, and the goodwill of the firm is valued at ₹2,10,000. X and Z decide to share future profits in the ratio 5 : 2. Pass the journal entries.

Working: Existing goodwill of ₹50,000 is written off in the old ratio 5 : 3 : 2 (X 25,000; Y 15,000; Z 10,000). Y’s share of goodwill = 2,10,000 × 3/10 = ₹63,000. Since X and Z continue in their old mutual ratio, the gaining ratio is 5 : 2, so X contributes 45,000 and Z contributes 18,000.

DateParticularsL.F.Dr. (₹)Cr. (₹)
X’s Capital A/c    Dr.25,000
Y’s Capital A/c    Dr.15,000
Z’s Capital A/c    Dr.10,000
To Goodwill A/c50,000
(Being existing goodwill written off among all partners in the old ratio 5 : 3 : 2)
X’s Capital A/c    Dr.45,000
Z’s Capital A/c    Dr.18,000
To Y’s Capital A/c63,000
(Being the share of goodwill of Y adjusted through the capital accounts of the gaining partners in the gaining ratio 5 : 2)

Hidden Goodwill on Retirement

If the firm agrees to pay the retiring partner more than the amount actually due to him, the excess is his share of hidden goodwill. It is debited to the gaining partners in the gaining ratio.

📈 Numerical 3 — Hidden Goodwill
Question: After all adjustments, the amount due to R, a retiring partner, is ₹1,20,000. The remaining partners agree to pay him ₹1,50,000 in full settlement. Calculate his share of hidden goodwill.

Solution: Hidden goodwill (share of R) = 1,50,000 − 1,20,000 = ₹30,000. The gaining partners are debited ₹30,000 in their gaining ratio and R is credited.

6. Revaluation of Assets and Reassessment of Liabilities

A Revaluation Account is prepared exactly as on admission. The only difference to remember: the profit or loss on revaluation is shared by ALL partners, including the retiring partner, in the OLD ratio, because the change in values took place while he was still a partner.

7. Treatment of Reserves and Accumulated Profits / Losses

Reserves, the credit balance of the Profit & Loss Account and the Workmen Compensation Reserve (in excess of any claim) are credited to ALL partners in the OLD ratio. Accumulated losses (debit balance of P&L Account, Advertisement Suspense) are debited to all partners in the old ratio. The rules for the Workmen Compensation Reserve and the Investment Fluctuation Reserve are the same as in Chapter 2 (Part A).

📈 Numerical 4 — Reserves and Revaluation Together
Question: P, Q and R share profits 3 : 2 : 1. R retires. On that date: General Reserve ₹60,000; Land is to be increased by ₹50,000; Stock is to be reduced by ₹8,000; an unrecorded liability of ₹6,000 is to be recorded. Show the distribution.

Solution: General Reserve of ₹60,000 in 3 : 2 : 1 → P 30,000; Q 20,000; R 10,000. Revaluation profit = 50,000 − 8,000 − 6,000 = ₹36,000, shared in 3 : 2 : 1 → P 18,000; Q 12,000; R 6,000. R’s capital account is credited with a total of ₹16,000 from these two items before settlement.

8. Settlement of the Amount Due (Section 37)

The total amount due to the retiring partner may be settled in three ways: (i) paid in full immediately (Retiring Partner’s Capital A/c Dr. → To Bank A/c), (ii) transferred fully to his Loan Account (Retiring Partner’s Capital A/c Dr. → To Retiring Partner’s Loan A/c), or (iii) partly paid and the balance transferred to his Loan Account.

💡 Section 37 of the Indian Partnership Act, 1932: Until the amount due is finally settled, the outgoing partner (or his executors) can choose to receive either interest at 6% per annum on the unpaid amount, or the share of profits earned with his money, at his option.
📈 Numerical 5 — Retiring Partner’s Loan Account
Question: The amount due to M on retirement (1st April, 2026) is ₹1,50,000. He is paid ₹30,000 immediately, and the balance is transferred to his Loan Account carrying interest at 10% p.a., to be paid in two equal annual instalments of principal together with interest. Prepare his Loan Account.
Year EndedOpening Balance (₹)Interest @ 10% (₹)Amount Paid (₹)Closing Balance (₹)
31 March 20271,20,00012,00072,000 (60,000 + 12,000)60,000
31 March 202860,0006,00066,000 (60,000 + 6,000)Nil

Note: Interest is always calculated on the outstanding balance, so it reduces every year while the principal instalment stays equal.

9. Adjustment of Capitals in the New Ratio

The remaining partners may decide to keep their capitals in proportion to the new profit-sharing ratio. The total capital is either given in the question or taken as the sum of the adjusted capitals of the remaining partners. Each partner’s required capital = total capital × his new share. Surplus is withdrawn (or credited to the Current Account) and deficit is brought in (or debited to the Current Account).

📈 Numerical 6 — Capital Adjustment After Retirement
Question: After the retirement of C, the remaining partners A and B share profits 3 : 2 and decide to fix the total capital of the new firm at ₹5,00,000. After all adjustments, their capitals stand at A ₹3,40,000 and B ₹1,80,000. Adjustment is to be made through bank. Pass the entries.

Working: Required capitals: A = 5,00,000 × 3/5 = ₹3,00,000; B = 5,00,000 × 2/5 = ₹2,00,000. A has a surplus of ₹40,000 (withdraws); B has a deficit of ₹20,000 (brings in).

DateParticularsL.F.Dr. (₹)Cr. (₹)
A’s Capital A/c    Dr.40,000
To Bank A/c40,000
(Being surplus capital withdrawn by A)
Bank A/c    Dr.20,000
To B’s Capital A/c20,000
(Being deficit capital brought in by B)

10. Preparation of the Balance Sheet

The Balance Sheet of the reconstituted firm is prepared after all adjustments. Follow this order in a full question: (1) distribute reserves and accumulated profits or losses among all partners in the old ratio, (2) prepare the Revaluation Account and transfer its result to all partners in the old ratio, (3) adjust goodwill through the capital accounts in the gaining ratio, (4) settle the amount due to the retiring partner or transfer it to his Loan Account, (5) adjust the capitals of the remaining partners, and (6) prepare the new Balance Sheet showing revalued assets, the Loan Account of the retiring partner as a liability, and the closing capitals.

⚡ Quick Recall — Retirement of a Partner Key Points
A partner may retire with the consent of all partners, by express agreement, or by written notice in a partnership at will (Section 32). If nothing is specified, the remaining partners share future profits in their old mutual ratio and gain in the same ratio. Gaining Ratio = New Ratio − Old Ratio; Sacrificing Ratio = Old Ratio − New Ratio. The share of goodwill of the retiring partner is contributed by the GAINING partners in the GAINING ratio. Goodwill already in the books is written off among ALL partners (including the retiring one) in the OLD ratio. Excess paid over the amount due to the retiring partner is his share of hidden goodwill. Revaluation profit or loss and all reserves are shared by ALL partners in the OLD ratio. Section 37: the outgoing partner can claim 6% p.a. interest on the unpaid amount or the profit earned with his money. Interest on the Loan Account is calculated on the outstanding balance, so it reduces with every instalment. Order of solving: reserves → revaluation → goodwill → settlement → capital adjustment → new Balance Sheet.
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20 MCQs — Retirement of a Partner

Mixed difficulty — theory, ratio cases, goodwill treatment, Section 37 and CUET-level numericals in Q17–Q20. The answer with a full explanation is given below each question.

1
As per Section 32 of the Indian Partnership Act, 1932, a partner may retire:
AOnly at the end of the accounting year
BWith the consent of all partners, by express agreement, or by written notice in a partnership at will
COnly with the permission of the court
DOnly after completing ten years in the firm
Answer: B. Section 32 lists these three modes of retirement. No court permission or minimum period is required.
2
Retirement of a partner leads to:
ADissolution of the firm
BClosure of the business
CReconstitution of the firm
DCompulsory registration
Answer: C. The old agreement ends and a new one begins among the remaining partners, while the firm continues.
3
Gaining Ratio is calculated as:
AOld Ratio − New Ratio
BOld Ratio × New Ratio
CCapital Ratio − New Ratio
DNew Ratio − Old Ratio
Answer: D. Gain = New − Old. A positive result shows the increase in the share of a remaining partner.
4
A, B and C share profits 5 : 3 : 2. B retires and no other information is given. The new ratio of A and C is:
A5 : 2
B1 : 1
C3 : 2
D5 : 3
Answer: A. When nothing is specified, the remaining partners continue in their old mutual ratio, which is 5 : 2.
5
In the above case, the gaining ratio of A and C is:
A1 : 1
B5 : 2
C3 : 2
D2 : 5
Answer: B. When the remaining partners continue in their old mutual ratio, they also gain in that same ratio, 5 : 2.
6
The share of goodwill of the retiring partner is contributed by:
AAll partners in the old ratio
BThe retiring partner himself
CThe gaining partners in the gaining ratio
DThe new partner
Answer: C. Those who acquire his share of future profits must compensate him, in the ratio of their gain.
7
Goodwill already appearing in the books at the time of retirement is written off among:
AAll partners, including the retiring partner, in the old ratio
BThe remaining partners in the new ratio
CThe gaining partners in the gaining ratio
DThe retiring partner alone
Answer: A. The existing goodwill belongs to the period when all partners were in the firm, so all of them bear the write-off in the old ratio.
8
Profit on revaluation at the time of retirement is credited to:
AThe remaining partners in the new ratio
BAll partners, including the retiring partner, in the old ratio
CThe gaining partners only
DThe retiring partner only
Answer: B. The change in values took place while the retiring partner was still in the firm, so he shares it in the old ratio.
9
General Reserve appearing in the books on the date of retirement is credited to:
AThe remaining partners in the gaining ratio
BThe retiring partner only
CThe remaining partners in the new ratio
DAll partners in the old ratio
Answer: D. Reserves were built out of past profits earned by all partners, so all of them share in the old ratio.
10
Under Section 37 of the Indian Partnership Act, 1932, if the amount due to the retiring partner is not paid, he can claim:
AInterest at 12% per annum only
BInterest at 6% per annum or the share of profits earned with his money, at his option
CNothing until final settlement
DDouble the amount due
Answer: B. Section 37 gives the outgoing partner the option of 6% p.a. interest or the proportionate profits earned by the use of his money.
11
When the amount due to the retiring partner is not paid immediately, it is transferred to:
AThe Revaluation Account
BThe General Reserve
CThe Loan Account of the retiring partner
DThe Capital Accounts of the remaining partners
Answer: C. Retiring Partner’s Capital A/c Dr. → To Retiring Partner’s Loan A/c. The loan appears as a liability in the new Balance Sheet.
12
The amount due to a retiring partner is ₹1,20,000, but the firm agrees to pay him ₹1,50,000 in full settlement. The excess of ₹30,000 is:
AA revaluation loss
BHis share of hidden goodwill
CInterest under Section 37
DA capital reserve
Answer: B. Any excess paid over the amount due is the hidden goodwill of the retiring partner, debited to the gaining partners in the gaining ratio.
13
A, B and C share profits 5 : 3 : 2. B retires and A and C acquire his share equally. The new ratio is:
A5 : 2
B3 : 2
C13 : 7
D7 : 13
Answer: C. Each gains 3/20. A = 10/20 + 3/20 = 13/20; C = 4/20 + 3/20 = 7/20. New ratio 13 : 7, gaining ratio 1 : 1.
14
Which statement about the sacrificing ratio and the gaining ratio is correct?
ABoth are calculated as Old Ratio − New Ratio
BThe sacrificing ratio is mainly used on retirement
CThe sacrificing ratio divides the premium on admission, while the gaining ratio decides the goodwill contribution on retirement
DBoth ratios always equal the old ratio
Answer: C. Sacrifice (Old − New) matters on admission; gain (New − Old) matters on retirement or death.
15
On retirement, the retiring partner’s share of accumulated losses is:
AIgnored
BCredited to his Capital Account
CBorne by the remaining partners
DDebited to his Capital Account in the old ratio
Answer: D. Accumulated losses are shared by all partners, including the retiring one, in the old ratio — they reduce the amount due to him.
16
Interest on the Loan Account of a retiring partner is calculated on:
AThe original loan amount every year
BThe outstanding balance of the loan
CThe total capital of the firm
DThe amount of the annual instalment
Answer: B. Interest is charged on the balance outstanding at the beginning of each period, so it reduces as instalments are paid.
17
[CUET Level] X, Y and Z share profits 5 : 3 : 2. Y retires and the goodwill of the firm is valued at ₹2,10,000. X and Z continue in the ratio 5 : 2. Y’s Capital Account will be credited with:
A₹2,10,000
B₹63,000
C₹45,000
D₹18,000
Answer: B. Y’s share = 2,10,000 × 3/10 = ₹63,000, contributed by X (₹45,000) and Z (₹18,000) in the gaining ratio 5 : 2.
18
[CUET Level] The amount due to M is ₹1,50,000. He is paid ₹30,000 in cash and the balance is transferred to his Loan Account at 10% p.a. The interest for the first year is:
A₹15,000
B₹10,000
C₹12,000
D₹6,000
Answer: C. Loan = 1,50,000 − 30,000 = ₹1,20,000. Interest = 1,20,000 × 10/100 = ₹12,000.
19
[CUET Level] After the retirement of C, the total capital of the firm is fixed at ₹5,00,000 and A and B share profits 3 : 2. If the adjusted capital of A is ₹3,40,000, then A will:
ABring in ₹40,000
BBring in ₹20,000
CWithdraw ₹20,000
DWithdraw ₹40,000
Answer: D. Required capital of A = 5,00,000 × 3/5 = ₹3,00,000. Surplus = 3,40,000 − 3,00,000 = ₹40,000, which he withdraws.
20
[Assertion–Reason] Assertion (A): The share of goodwill of the retiring partner is debited to the remaining partners in the gaining ratio. Reason (R): The remaining partners acquire the share of future profits given up by the retiring partner.
ABoth A and R are true, and R explains A
BBoth A and R are true, but R does not explain A
CA is true; R is false
DBoth A and R are false
Answer: A. The compensation follows the gain: those who acquire the extra share of future profits pay for it — R correctly explains A.

Chapter 4 — Live Quiz

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