Q.The old profit sharing ratio among Rajender, Satish and Tejpal was 2 : 2 : 1. The new profit sharing ratio after Satish's retirement is 3 : 2. The gaining ratio is:
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.
The new ratio is given, so gaining share = new − old for each continuing partner (common denominator 5).
- Rajender: 3/5 − 2/5 = 1/5
- Tejpal: 2/5 − 1/5 = 1/5
(c) 1 : 1.
Gaining share = new − old: Rajender gains 1/5 and Tejpal gains 1/5, so the gaining ratio is 1 : 1 — option (c).
Solution
Old shares (out of 5): Rajender 2/5, Tejpal 1/5. New shares: Rajender 3/5, Tejpal 2/5.
- Rajender's gain = 3/5 − 2/5 = 1/5
- Tejpal's gain = 2/5 − 1/5 = 1/5
Gaining ratio = 1/5 : 1/5 = 1 : 1.
(c) 1 : 1.
- BSEH Haryana Senior Secondary Class 12 (Commerce) 2023Set ANNUAL1 markMCQQ.'A', 'B' and 'C' are partners sharing profits in the ratio of 4 : 2 : 1. If the new ratio of 'B' & 'C' is 3 : 1 on A's retirement, then what will be gaining ratio?(a) 3 : 13(b) 13 : 3(c) 3 : 1(d) 12 : 5
›Reveal solutionSolution
Gaining ratio of B and C = 13 : 3.
Old ratio A:B:C = 4:2:1 (total 7). New ratio B:C = 3:1.
Gaining ratio = New share - Old share.
B: 3/4 - 2/7 = 21/28 - 8/28 = 13/28.
C: 1/4 - 1/7 = 7/28 - 4/28 = 3/28.
Gaining ratio B:C = 13:3.
✓Final answerOption (b) 13 : 3.
- BSEH Haryana Senior Secondary Class 12 (Commerce) 2020Set ANNUAL1 markMCQQ.'A', 'B' and 'C' are partners sharing profits in the ratio of 4 : 3 : 2. A decides to retire and his share is takenover by 'B' and 'C' in the ratio of 3 : 1. The new ratio between 'B' and 'C' will be:(a) 1 : 2(b) 6 : 3(c) 3 : 2(d) None of the above
›Reveal solutionSolution
New ratio of B and C = 6 : 3 (i.e. 2 : 1).
Old ratio A:B:C = 4:3:2 (total 9). A's share = 4/9 is acquired by B and C in 3:1.
B gains = 3/4 x 4/9 = 12/36 = 1/3.
C gains = 1/4 x 4/9 = 4/36 = 1/9.
New share of B = 3/9 + 1/3 = 12/36 + 12/36 = 24/36.
New share of C = 2/9 + 1/9 = 8/36 + 4/36 = 12/36.
New ratio B:C = 24:12 = 6:3 = 2:1.
✓Final answerOption (b) 6 : 3.
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