Q.Abhishek, Rajat and Vivek are partners sharing profits in the ratio of 5 : 3 : 2. If Vivek retires, the new profit sharing ratio between Abhishek and Rajat will be:
Concept understanding — Partner Retirement Methods
Partner Retirement Methods – A First Look
Think of a partnership like a three-legged race. Three friends tie their legs together and run. Now imagine one friend wants to stop running mid-race. The other two can't just untie and keep going — they have to settle accounts with the leaving friend first. How much does the leaving friend get? Who pays? That's what retirement of a partner is about.
What Does "Retirement of a Partner" Mean?
When a partner leaves the firm (by choice, age, or agreement), the remaining partners continue the business. The retiring partner is entitled to their share of the firm's net worth — not just their original capital, but also their share of accumulated profits, reserves, revaluation gains, and goodwill.
The key idea: the retiring partner's claim = what they brought in + what the firm earned on their behalf – what they've already taken out.
Why Does This Matter?
If you just give the retiring partner their capital back, you're shortchanging them. The firm may have grown, built up reserves, or owned assets that appreciated. Conversely, if the firm has losses, the retiring partner must bear their share. Proper accounting ensures fairness — no one gets cheated, and the remaining partners don't overpay.
The Accounting Treatment – Step by Step
The NCERT Class-12 textbook follows a clear sequence. Let's walk through it.
Step 1: Revalue Assets and Reassess Liabilities
The firm's balance sheet may not reflect current values. So we create a Revaluation Account.
Revaluation Account is a nominal account. It captures gains (credit) and losses (debit) from revaluing assets and liabilities.
Journal entry:
- If asset value increases: Debit Asset A/c, Credit Revaluation A/c
- If liability increases: Debit Revaluation A/c, Credit Liability A/c
The profit or loss on revaluation is then transferred to all partners' capital accounts in their old profit-sharing ratio.
Step 2: Adjust for Goodwill
The retiring partner is entitled to their share of the firm's goodwill. The remaining partners compensate them because they'll continue to benefit from the firm's reputation.
Treatment (as per NCERT):
- Calculate the firm's total goodwill (agreed value).
- Retiring partner's share = Total goodwill × Retiring partner's profit share.
- The remaining partners debit their capital accounts in their gaining ratio (new ratio – old ratio) and credit the retiring partner's capital account.
Journal entry:
Remaining Partners' Capital A/c (individually) Dr.
To Retiring Partner's Capital A/c
Step 3: Transfer Reserves and Accumulated Profits
Any General Reserve, Profit & Loss A/c (credit balance), or accumulated profits belong to all partners. The retiring partner's share is transferred to their capital account.
Journal entry:
General Reserve A/c Dr.
Profit & Loss A/c Dr.
To All Partners' Capital A/c (in old ratio)
Step 4: Settle the Retiring Partner's Account
After all adjustments, the retiring partner's capital account shows the final amount due. This is paid either in cash or transferred to a loan account if the firm can't pay immediately.
Journal entry:
Retiring Partner's Capital A/c Dr.
To Bank A/c (or Retiring Partner's Loan A/c)
The Capital Account Format (as per NCERT)
Here's how a retiring partner's capital account looks in the ledger:
| Dr. | Retiring Partner's Capital Account | Cr. |
|---|---|---|
| Particulars | Amount (₹) | Particulars |
| To Revaluation A/c (loss) | xxx | By Balance b/d |
| To Goodwill A/c (if written off) | xxx | By Revaluation A/c (gain) |
| To Retiring Partner's Loan A/c | xxx | By General Reserve A/c |
| To Bank A/c (final payment) | xxx | By Profit & Loss A/c |
| By Goodwill A/c (remaining partners) | ||
| By Interest on Capital (if any) | ||
| Total | xxx | Total |
The balance b/d is the opening capital. All adjustments (revaluation profit, reserves, goodwill) are credited. Payments and losses are debited. The final balance is either paid or turned into a loan.
The Formula for Interest on Capital (if applicable)
If the partnership deed allows interest on capital, and the retiring partner's capital remains in the firm for part of the year:
Interest on capital = Capital amount × Rate of interest per annum × (Period in months / 12)
This is credited to the retiring partner's capital account before final settlement.
A Common Mistake to Avoid
Students often confuse gaining ratio with new ratio. The gaining ratio is used only for goodwill adjustment. It is calculated as: Gaining ratio = New ratio – Old ratio. The remaining partners compensate the retiring partner in this ratio, not in their old ratio.
Putting It All Together – A Simple Illustration (No Invented Data)
Suppose a firm has three partners: A, B, and C sharing profits 5:3:2. C retires. The firm's goodwill is valued at ₹1,00,000. C's share of goodwill = ₹1,00,000 × 2/10 = ₹20,000. A and B will gain in the ratio of their new shares (say 5:3, if they continue in the same proportion). So A pays ₹12,500 and B pays ₹7,500 to C's capital account.
After all revaluation and reserve transfers, C's capital account shows a final amount. That amount is paid or treated as a loan.
The Core Idea to Remember
Retirement accounting is about settling the departing partner's claim fairly. Every adjustment — revaluation, goodwill, reserves — ensures that the retiring partner gets exactly what they've earned, and the continuing partners don't bear an unfair burden. The capital account is the central ledger where all these adjustments converge, and the final balance is the amount due.
When nothing is said about how the retiring partner's share is taken over, the continuing partners simply keep their old mutual ratio, which for Abhishek and Rajat is 5 : 3.
(b) 5 : 3.
With no acquisition information given, Abhishek and Rajat continue in their old mutual ratio 5 : 3 — option (b).
Solution
In the absence of any information about the ratio in which Vivek's share is acquired, the continuing partners are assumed to take it in their old profit sharing ratio. Abhishek : Rajat were 5 : 3 among themselves, so the new ratio is 5 : 3.
(b) 5 : 3.
- PSEB Punjab Class 12 (Commerce) 2026Set ANNUAL1 markQ.What is the formula for calculating Gaining Ratio?
›Reveal solutionSolution
Gaining Ratio = New Ratio - Old Ratio.
On the retirement or death of a partner, the continuing partners acquire the share of the outgoing partner. The ratio of this gain is the GAINING RATIO, calculated as New Share - Old Share for each continuing partner. The retiring partner's goodwill is borne by the continuing partners in this ratio.
✓Final answerGaining Ratio = New Ratio - Old Ratio.
- PSEB Punjab Class 12 (Commerce) 2025Set ANNUAL1 markMCQQ.X, Y and Z are three partners sharing profits in the ratio 10 : 7 : 8. Z retired. X and Y decided to share profits in equal ratio. Gaining ratio will be:(a) 1 : 4(b) 10 : 7(c) 7 : 10(d) 4 : 1
›Reveal solutionSolution
Correct gaining ratio = 5 : 11; none of the given options matches (likely a printing error).
Old ratio X:Y:Z = 10:7:8 (total 25), so X = 10/25, Y = 7/25. After Z retires, X and Y share equally, so new X = 1/2, Y = 1/2.
Gaining ratio = New - Old:
X = 1/2 - 10/25 = 25/50 - 20/50 = 5/50.
Y = 1/2 - 7/25 = 25/50 - 14/50 = 11/50.
Gaining ratio = 5 : 11.
The printed options (1:4, 10:7, 7:10, 4:1) do not include 5:11, so the correct computed answer cannot be matched to any option.
✓Final answerGaining ratio = 5 : 11 (not listed among the options; probable misprint).
- PSEB Punjab Class 12 (Commerce) 2025Set ANNUAL1 markMCQQ.The ratio in which the remaining partners acquire the retiring partner's share is called ________. (Gaining Ratio/Sacrifice Ratio)(a) Gaining Ratio(b) Sacrifice Ratio
›Reveal solutionSolution
Gaining Ratio.
On retirement, the share of the outgoing partner is taken over by the continuing partners. The ratio in which they acquire this share is called the GAINING RATIO (Gaining ratio = New ratio - Old ratio). (The sacrificing ratio is the opposite - used at admission when old partners give up a share.)
✓Final answerIt is called the Gaining Ratio.
- PSEB Punjab Class 12 (Commerce) 2024Set ANNUAL1 markMCQQ.Retirement of a partner results in ________ of the firm. (Reconstitution/Dissolution)(a) Reconstitution(b) Dissolution
›Reveal solutionSolution
Reconstitution.
Retirement of a partner changes the existing agreement (profit-sharing, capital) while the firm continues with the other partners. This is reconstitution. Dissolution means the firm is wound up completely, which is not the case on mere retirement.
✓Final answerReconstitution of the firm.
- PSEB Punjab Class 12 (Commerce) 2024Set ANNUAL1 markMCQQ.X, Y and Z are partners sharing profit in 3 : 2 : 2. If the New Ratio on the retirement of X is 4 : 3, what will be the Gaining Ratio?(a) 2 : 7(b) 1 : 2(c) 2 : 1(d) 1 : 7
›Reveal solutionSolution
(c) 2 : 1.
X, Y, Z share 3 : 2 : 2 (so Y = 2/7, Z = 2/7). X retires; Y and Z now share 4 : 3 (Y = 4/7, Z = 3/7).
Gaining ratio: Y = 4/7 - 2/7 = 2/7; Z = 3/7 - 2/7 = 1/7 -> 2 : 1.
✓Final answerCorrect option: (c) 2 : 1.
- PSEB Punjab Class 12 (Commerce) 2024Set ANNUAL1 markQ.At what rate interest is payable on the amount remaining unpaid to the executor of deceased partner?
›Reveal solutionSolution
6% per annum (Section 37, in the absence of agreement).
When a partner dies and the amount due to his executor is not immediately paid, the executor is entitled to interest on the unpaid amount. In the absence of an agreement, Section 37 of the Indian Partnership Act allows interest at 6% per annum (or a share of profit earned on that amount, at the executor's option).
✓Final answerInterest at 6% per annum is payable on the amount remaining unpaid to the executor of a deceased partner (in the absence of agreement).
- PSEB Punjab Class 12 (Commerce) 2023Set ANNUAL1 markMCQQ.Retirement of a partner results in reconstitution of the firm. (True/False)(a) True(b) False
›Reveal solutionSolution
True.
Reconstitution means a change in the existing agreement among partners while the firm continues. Retirement of a partner changes the profit-sharing arrangement and the capital structure, so the old partnership ends and a new one comes into existence — the firm is reconstituted, not dissolved.
✓Final answerTrue — retirement of a partner reconstitutes the firm.
- PSEB Punjab Class 12 (Commerce) 2023Set ANNUAL1 markMCQQ.In the event of death, the combined share of profit of continuing partners will increase. (True/False)(a) True(b) False
›Reveal solutionSolution
True.
When a partner dies, his share of profit is acquired by the continuing partners (in their gaining ratio). As a result, the total/combined share of the continuing partners rises from what it was before the death.
✓Final answerTrue.
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