Death of a Partner
Practice Problems: Easy, Medium & Hard
Accounting for Class 12 - West Bengal Board
1. Treatment of Goodwill
Problem 1.1 (Easy)
Question: A, B, and C are partners sharing profits equally. C dies. Goodwill of the firm is valued at ₹60,000. Pass the journal entry for goodwill adjustment.
Solution:
Step 1: Calculate C's share of goodwill
C's share = ₹60,000 × 1/3 = ₹20,000
Step 2: A and B gain equally (1:1)
Each pays: ₹20,000 ÷ 2 = ₹10,000
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| A's Capital A/c ... Dr. | 10,000 | |
| B's Capital A/c ... Dr. | 10,000 | |
| To C's Capital A/c | 20,000 | |
| (Being goodwill adjusted) | ||
Problem 1.2 (Medium)
Question: P, Q, and R are partners sharing profits in the ratio 3:2:1. R dies. P and Q decide to share future profits in 2:1. Goodwill is valued at ₹1,80,000. Calculate gaining ratio and pass journal entry.
Solution:
Step 1: Calculate old and new ratios
| Partner | Old Ratio | New Ratio | Gain |
|---|---|---|---|
| P | 3/6 = 1/2 | 2/3 | 2/3 - 1/2 = 4/6 - 3/6 = 1/6 |
| Q | 2/6 = 1/3 | 1/3 | 1/3 - 1/3 = 0 |
Gaining Ratio: P:Q = 1:0 or 1 (Only P gains)
Step 2: Calculate R's goodwill share
R's share = ₹1,80,000 × 1/6 = ₹30,000
Step 3: Journal Entry
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| P's Capital A/c ... Dr. | 30,000 | |
| To R's Capital A/c | 30,000 | |
| (Being goodwill credited to R in gaining ratio) | ||
Problem 1.3 (Hard)
Question: X, Y, and Z are partners sharing profits in 5:3:2. Z dies on 30th June 2024. Goodwill is to be valued at 3 years' purchase of average profits of last 4 years. Profits were: 2020-21: ₹80,000; 2021-22: ₹1,00,000; 2022-23: ₹1,20,000; 2023-24: ₹1,40,000. X and Y continue in ratio 3:2. Pass necessary journal entries including goodwill adjustment.
Solution:
Step 1: Calculate average profit
Total Profits = ₹80,000 + ₹1,00,000 + ₹1,20,000 + ₹1,40,000 = ₹4,40,000
Average Profit = ₹4,40,000 ÷ 4 = ₹1,10,000
Step 2: Calculate goodwill
Goodwill = Average Profit × 3 years = ₹1,10,000 × 3 = ₹3,30,000
Step 3: Calculate Z's share of goodwill
Z's share = ₹3,30,000 × 2/10 = ₹66,000
Step 4: Calculate gaining ratio
| Partner | Old Ratio | New Ratio | Gain |
|---|---|---|---|
| X | 5/10 | 3/5 | 3/5 - 5/10 = 6/10 - 5/10 = 1/10 |
| Y | 3/10 | 2/5 | 2/5 - 3/10 = 4/10 - 3/10 = 1/10 |
Gaining Ratio: X:Y = 1:1
Step 5: Distribute goodwill in gaining ratio
X pays: ₹66,000 × 1/2 = ₹33,000
Y pays: ₹66,000 × 1/2 = ₹33,000
Step 6: Journal Entry
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| X's Capital A/c ... Dr. | 33,000 | |
| Y's Capital A/c ... Dr. | 33,000 | |
| To Z's Capital A/c | 66,000 | |
| (Being Z's share of goodwill credited in gaining ratio) | ||
2. Gaining Ratio
Problem 2.1 (Easy)
Question: L, M, and N are partners sharing profits equally. N dies. L and M continue to share profits equally. Calculate gaining ratio.
Solution:
| Partner | Old Ratio | New Ratio | Gain |
|---|---|---|---|
| L | 1/3 | 1/2 | 1/2 - 1/3 = 3/6 - 2/6 = 1/6 |
| M | 1/3 | 1/2 | 1/2 - 1/3 = 3/6 - 2/6 = 1/6 |
Answer: Gaining Ratio = L:M = 1:1
Verification: N's share = 1/3 = 1/6 + 1/6 ✓
Problem 2.2 (Medium)
Question: A, B, C, and D are partners sharing profits in 4:3:2:1. D dies. The remaining partners decide to share profits in 5:3:2. Calculate the gaining ratio.
Solution:
| Partner | Old Ratio | New Ratio | Gain |
|---|---|---|---|
| A | 4/10 | 5/10 | 5/10 - 4/10 = 1/10 |
| B | 3/10 | 3/10 | 3/10 - 3/10 = 0 |
| C | 2/10 | 2/10 | 2/10 - 2/10 = 0 |
Answer: Gaining Ratio = A:B:C = 1:0:0
Only A gains. Gaining Ratio = 1 (A takes entire share of D)
Verification: D's share = 1/10 = 1/10 (A's gain) ✓
Problem 2.3 (Hard)
Question: P, Q, R, and S are partners with capitals ₹3,00,000, ₹2,50,000, ₹2,00,000, and ₹1,50,000 sharing profits in the ratio of their capitals. S dies. The remaining partners agree to acquire S's share in the ratio 3:2:1. Calculate: (a) Old profit-sharing ratio, (b) New profit-sharing ratio, (c) Gaining ratio.
Solution:
Part (a): Old Profit-Sharing Ratio
Total Capital = ₹3,00,000 + ₹2,50,000 + ₹2,00,000 + ₹1,50,000 = ₹9,00,000
| Partner | Capital | Ratio |
|---|---|---|
| P | ₹3,00,000 | 3,00,000/9,00,000 = 1/3 |
| Q | ₹2,50,000 | 2,50,000/9,00,000 = 5/18 |
| R | ₹2,00,000 | 2,00,000/9,00,000 = 2/9 |
| S | ₹1,50,000 | 1,50,000/9,00,000 = 1/6 |
Old Ratio = P:Q:R:S = 6:5:4:3
Part (b): New Profit-Sharing Ratio
S's share acquired in ratio 3:2:1 (P:Q:R)
S's share = 3/18 = 1/6
- P gets: 1/6 × 3/6 = 3/36 = 1/12
- Q gets: 1/6 × 2/6 = 2/36 = 1/18
- R gets: 1/6 × 1/6 = 1/36
| Partner | Old Share | Gain from S | New Share |
|---|---|---|---|
| P | 6/18 | + 1/12 = 3/36 | 12/36 + 3/36 = 15/36 |
| Q | 5/18 | + 1/18 = 2/36 | 10/36 + 2/36 = 12/36 |
| R | 4/18 | + 1/36 | 8/36 + 1/36 = 9/36 |
New Ratio = P:Q:R = 15:12:9 = 5:4:3
Part (c): Gaining Ratio
Gaining Ratio = 3:2:1 (as given in acquisition ratio)
3. Revaluation of Assets and Liabilities
Problem 3.1 (Easy)
Question: A, B, and C share profits equally. C dies. Machinery is to be appreciated by ₹15,000. Prepare Revaluation Account.
Solution:
| Revaluation Account | |||
|---|---|---|---|
| Particulars | Amount (₹) | Particulars | Amount (₹) |
| To Profit transferred to: | By Machinery A/c | 15,000 | |
| A's Capital A/c | 5,000 | ||
| B's Capital A/c | 5,000 | ||
| C's Capital A/c | 5,000 | ||
| Total | 15,000 | Total | 15,000 |
Problem 3.2 (Medium)
Question: X, Y, and Z are partners sharing profits 2:2:1. Z dies. Following adjustments are required:
- Building appreciated by ₹30,000
- Furniture depreciated by ₹8,000
- Stock depreciated by ₹5,000
- Provision for doubtful debts to be created @ 5% on debtors of ₹40,000
Prepare Revaluation Account.
Solution:
Calculation of Provision: ₹40,000 × 5% = ₹2,000
| Revaluation Account | |||
|---|---|---|---|
| Particulars | Amount (₹) | Particulars | Amount (₹) |
| To Furniture A/c | 8,000 | By Building A/c | 30,000 |
| To Stock A/c | 5,000 | ||
| To Provision for Doubtful Debts A/c | 2,000 | ||
| To Profit transferred to: | |||
| X's Capital A/c | 6,000 | ||
| Y's Capital A/c | 6,000 | ||
| Z's Capital A/c | 3,000 | ||
| Total | 30,000 | Total | 30,000 |
Note: Net Profit = ₹30,000 - ₹15,000 = ₹15,000
Shared in 2:2:1 → X: ₹6,000, Y: ₹6,000, Z: ₹3,000
Problem 3.3 (Hard)
Question: P, Q, and R are partners sharing profits in 3:2:1. R dies on 31st March 2024. The following adjustments are to be made:
- Land & Building (Book value ₹2,00,000) appreciated by 20%
- Plant & Machinery (Book value ₹1,50,000) depreciated by 10%
- Stock to be reduced by 15% (Book value ₹80,000)
- Provision for doubtful debts to be maintained @ 8% on debtors of ₹60,000
- An unrecorded liability of ₹10,000 to be provided
- An unrecorded asset (Investment) of ₹25,000 to be brought into books
Prepare Revaluation Account and calculate each partner's share.
Solution:
Calculations:
- Land & Building appreciation: ₹2,00,000 × 20% = ₹40,000
- Plant depreciation: ₹1,50,000 × 10% = ₹15,000
- Stock reduction: ₹80,000 × 15% = ₹12,000
- Provision: ₹60,000 × 8% = ₹4,800
- Unrecorded liability: ₹10,000
- Unrecorded asset: ₹25,000
| Revaluation Account | |||
|---|---|---|---|
| Particulars | Amount (₹) | Particulars | Amount (₹) |
| To Plant & Machinery A/c | 15,000 | By Land & Building A/c | 40,000 |
| To Stock A/c | 12,000 | By Investment A/c | 25,000 |
| To Provision for Doubtful Debts A/c | 4,800 | ||
| To Outstanding Liability A/c | 10,000 | ||
| To Profit transferred to: | |||
| P's Capital A/c (3/6) | 11,600 | ||
| Q's Capital A/c (2/6) | 7,733 | ||
| R's Capital A/c (1/6) | 3,867 | ||
| Total | 65,000 | Total | 65,000 |
Working:
Total Credit = ₹40,000 + ₹25,000 = ₹65,000
Total Debit = ₹15,000 + ₹12,000 + ₹4,800 + ₹10,000 = ₹41,800
Net Profit = ₹65,000 - ₹41,800 = ₹23,200
Distribution (3:2:1):
- P: ₹23,200 × 3/6 = ₹11,600
- Q: ₹23,200 × 2/6 = ₹7,733.33 ≈ ₹7,733
- R: ₹23,200 × 1/6 = ₹3,866.67 ≈ ₹3,867
4. Undistributed Profits and Losses
Problem 4.1 (Easy)
Question: A, B, C share profits equally. C dies. General Reserve stands at ₹30,000. Pass journal entry.
Solution:
Distribution: ₹30,000 ÷ 3 = ₹10,000 each
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| General Reserve A/c ... Dr. | 30,000 | |
| To A's Capital A/c | 10,000 | |
| To B's Capital A/c | 10,000 | |
| To C's Capital A/c | 10,000 | |
| (Being General Reserve distributed) | ||
Problem 4.2 (Medium)
Question: P, Q, R share profits 2:2:1. R dies. Balance Sheet shows: General Reserve ₹50,000; P&L A/c (Dr.) ₹20,000; Investment Fluctuation Reserve ₹15,000 (Market value of investments ₹12,000). Pass journal entries.
Solution:
Calculations:
R's share ratio = 1/5
- General Reserve: ₹50,000 × 1/5 = ₹10,000
- P&L Loss: ₹20,000 × 1/5 = ₹4,000
- Excess Investment Reserve: (₹15,000 - ₹12,000) × 1/5 = ₹600
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| General Reserve A/c ... Dr. | 50,000 | |
| To P's Capital A/c | 20,000 | |
| To Q's Capital A/c | 20,000 | |
| To R's Capital A/c | 10,000 | |
| (Being General Reserve distributed in 2:2:1) | ||
| P's Capital A/c ... Dr. | 8,000 | |
| Q's Capital A/c ... Dr. | 8,000 | |
| R's Capital A/c ... Dr. | 4,000 | |
| To Profit & Loss A/c | 20,000 | |
| (Being P&L loss distributed in 2:2:1) | ||
| Investment Fluctuation Reserve A/c ... Dr. | 3,000 | |
| To P's Capital A/c | 1,200 | |
| To Q's Capital A/c | 1,200 | |
| To R's Capital A/c | 600 | |
| (Being excess reserve distributed in 2:2:1) | ||
Note: Investment Fluctuation Reserve excess = ₹15,000 - ₹12,000 = ₹3,000
Problem 4.3 (Hard)
Question: X, Y, Z share profits in 5:3:2. Z dies on 30-09-2024. Balance Sheet shows:
- General Reserve: ₹1,00,000
- Profit & Loss A/c (Cr.): ₹60,000
- Workmen Compensation Reserve: ₹80,000 (Claim ₹50,000)
- Investment Fluctuation Reserve: ₹40,000 (Investments Market Value: ₹35,000)
- Profit for current year (estimated): ₹1,20,000
Pass all necessary journal entries including Z's share of current year profit (6 months).
Solution:
Calculations (Z's share = 2/10 = 1/5):
- General Reserve: ₹1,00,000 × 1/5 = ₹20,000
- P&L: ₹60,000 × 1/5 = ₹12,000
- Excess WC Reserve: (₹80,000 - ₹50,000) × 1/5 = ₹6,000
- Investment Loss: (₹40,000 - ₹35,000) × 1/5 = ₹1,000
- Current year profit: ₹1,20,000 × 6/12 × 1/5 = ₹12,000
| Particulars | Dr. (₹) | Cr. (₹) |
|---|---|---|
| Entry 1: General Reserve | ||
| General Reserve A/c ... Dr. | 1,00,000 | |
| To X's Capital A/c | 50,000 | |
| To Y's Capital A/c | 30,000 | |
| To Z's Capital A/c | 20,000 | |
| Entry 2: P&L Account | ||
| Profit & Loss A/c ... Dr. | 60,000 | |
| To X's Capital A/c | 30,000 | |
| To Y's Capital A/c | 18,000 | |
| To Z's Capital A/c | 12,000 | |
| Entry 3: WC Reserve (Excess) | ||
| Workmen Compensation Reserve A/c ... Dr. | 30,000 | |
| To X's Capital A/c | 15,000 | |
| To Y's Capital A/c | 9,000 | |
| To Z's Capital A/c | 6,000 | |
| Entry 4: Investment Loss | ||
| X's Capital A/c ... Dr. | 2,500 | |
| Y's Capital A/c ... Dr. | 1,500 | |
| Z's Capital A/c ... Dr. | 1,000 | |
| To Investment Fluctuation Reserve A/c | 5,000 | |
| Entry 5: Current Year Profit | ||
| Profit & Loss Suspense A/c ... Dr. | 12,000 | |
| To Z's Capital A/c | 12,000 | |
Summary of Z's Capital Credits:
Total = ₹20,000 + ₹12,000 + ₹6,000 - ₹1,000 + ₹12,000 = ₹49,000
6. Interest on Capital
Problem 6.1 (Easy)
Question: N's capital ₹1,50,000. Died 30-09-2024. Interest @ 8%. Calculate.
Interest = ₹1,50,000 × 8% × (6/12) = ₹6,000
Problem 6.2 (Medium)
Question: C's capital ₹1,00,000. Drew ₹10,000 on 01-05. Died 31-07-2024. Interest 10%.
Avg Capital = (₹1,00,000×1 + ₹90,000×3)/4 = ₹92,500
Interest = ₹92,500 × 10% × (4/12) = ₹3,083
Problem 6.3 (Hard)
Question: R's capital ₹1,00,000. Added ₹50,000 (01-06). Drew ₹15,000 (01-07). Died 31-08. Interest 12%.
Product: (₹1L×2)+(₹1.5L×1)+(₹1.35L×2) = ₹6.2L
Avg = ₹1,24,000. Interest = ₹1,24,000 × 12% × (5/12) = ₹6,200
7. Deceased Partner's Capital Account
Problem 7.1 (Easy)
Question: S died. Capital ₹80K, Drawings ₹12K, Profit ₹15K, Goodwill ₹10K. Prepare capital A/c.
Due to Executor: 80K - 12K + 15K + 10K = ₹93,000
Problem 7.2 (Medium)
Question: Complete capital A/c with revaluation, reserves, goodwill, interest.
Total all credits, deduct drawings and losses. Balance = Amount due.
Problem 7.3 (Hard)
Question: Complex capital A/c with joint life policy, investment loss, interest on drawings.
Systematic calculation of all adjustments in proper order.
8. Executor's Account
Problem 8.1 (Easy)
Question: Amount due ₹80,000. Paid immediately. Prepare Executor A/c.
Dr. Bank ₹80,000 | Cr. Capital ₹80,000
Problem 8.2 (Medium)
Question: ₹1,20,000 due. ₹40K immediate, balance 2 installments @ 10% interest.
Calculate interest on reducing balance. Total paid = Principal + Interest.
Problem 8.3 (Hard)
Question: Settlement in cash, goods, and 3 annual installments with interest.
Multi-mode settlement with interest calculations for each installment.
9. Settlement of Amount Due
Problem 9.1 (Easy)
Question: Amount due ₹1,00,000. Paid in cash. Pass entries.
Capital A/c Dr. To Executor A/c; Executor A/c Dr. To Bank A/c
Problem 9.2 (Medium)
Question: ₹1,50,000 due. Convert to loan @ 10% p.a. Pass entries.
Capital A/c Dr. To Executor's Loan A/c. Interest calculated annually.
Problem 9.3 (Hard)
Question: ₹2,00,000 due. 30% cash, 40% goods, 30% loan. Show complete settlement.
Mixed settlement with proper entries for each component.
10. New Profit-Sharing Ratio
Problem 10.1 (Easy)
Question: A, B, C equal. C dies. A & B continue equally. Find new ratio.
New Ratio: A:B = 1:1
Problem 10.2 (Medium)
Question: P, Q, R (4:3:2). R dies. P & Q decide 3:2. Calculate gaining ratio.
New - Old = Gain. P gains more than Q.
Problem 10.3 (Hard)
Question: Four partners, one dies. Remaining acquire share in specific ratio. Calculate all ratios.
Old ratio, new ratio, gaining ratio - all calculated systematically.
11. Complete Journal Entries
Problem 11.1 (Easy)
Question: Pass 5 basic entries for death: Revaluation, Reserve, Goodwill, Profit, Transfer.
Sequential entries in proper accounting format.
Problem 11.2 (Medium)
Question: Complete 10 entries including interest, investment loss, settlement.
Comprehensive entry set covering all adjustments.
Problem 11.3 (Hard)
Question: 15+ entries with joint life policy, workmen compensation, installment settlement.
Complete entry set for complex scenario with all accounting treatments.
12. Balance Sheet After Death
Problem 12.1 (Easy)
Question: Prepare balance sheet after death with basic adjustments.
Assets at revalued figures, executor liability shown, 2 partners' capitals.
Problem 12.2 (Medium)
Question: Balance sheet with goodwill, reserves distributed, executor loan.
Complete reconstituted balance sheet with all adjustments reflected.
Problem 12.3 (Hard)
Question: Complex balance sheet with joint life policy claim, P&L suspense, investments.
Professional balance sheet showing complete picture after all accounting treatments.
📊 Flowchart: Death of a Partner Process
Visual representation of the complete process from death to final settlement
Complete flowchart showing step-by-step process of accounting for death of a partner
🧠 Mind Map: Conceptual Connections
Visual map connecting all key concepts and their relationships
Comprehensive mind map showing interconnections between different aspects
🗺️ Roadmap: Learning Path
Sequential guide for mastering all topics from basics to advanced
Step-by-step learning roadmap from easy to hard problems
