2 death of Partner (easy, medium & hard) : Problem & solution

Death of a Partner - Practice Problems (Easy, Medium, Hard) - WBCHSE Class 12

Death of a Partner

Practice Problems: Easy, Medium & Hard

Accounting for Class 12 - West Bengal Board

1. Treatment of Goodwill

EASY

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)
MEDIUM

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)
HARD

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

EASY

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 ✓

MEDIUM

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) ✓

HARD

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

EASY

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
MEDIUM

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

HARD

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

EASY

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)
MEDIUM

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

HARD

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

5. Deceased Partner's Share of Profit

EASY

Problem 5.1 (Easy)

Question: A, B, C share profits equally. C dies on 30-06-2024. Last year profit: ₹90,000. Calculate C's share (Time basis).

Calculation: Profit × (Months/12) × Ratio

= ₹90,000 × (3/12) × (1/3) = ₹7,500

MEDIUM

Problem 5.2 (Medium)

Question: P, Q, R (2:2:1). R dies 31-08-2024. Profit ₹1,50,000. Sales ₹4L/₹12L. Calculate both methods.

Time: ₹1,50,000 × (5/12) × (1/5) = ₹12,500

Sales: ₹1,50,000 × (1/3) × (1/5) = ₹10,000

HARD

Problem 5.3 (Hard)

Question: X, Y, Z (3:2:1). Z dies 15-10-2024. Average profit ₹2,40,000. Expected ₹3,00,000. Calculate.

On Average: ₹2,40,000 × (6.5/12) × (1/6) = ₹21,667

New Avg: ₹2,55,000 × (6.5/12) × (1/6) = ₹23,021

6. Interest on Capital

EASY

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

MEDIUM

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

HARD

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

EASY

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

MEDIUM

Problem 7.2 (Medium)

Question: Complete capital A/c with revaluation, reserves, goodwill, interest.

Total all credits, deduct drawings and losses. Balance = Amount due.

HARD

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

EASY

Problem 8.1 (Easy)

Question: Amount due ₹80,000. Paid immediately. Prepare Executor A/c.

Dr. Bank ₹80,000 | Cr. Capital ₹80,000

MEDIUM

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.

HARD

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

EASY

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

MEDIUM

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.

HARD

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

EASY

Problem 10.1 (Easy)

Question: A, B, C equal. C dies. A & B continue equally. Find new ratio.

New Ratio: A:B = 1:1

MEDIUM

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.

HARD

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

EASY

Problem 11.1 (Easy)

Question: Pass 5 basic entries for death: Revaluation, Reserve, Goodwill, Profit, Transfer.

Sequential entries in proper accounting format.

MEDIUM

Problem 11.2 (Medium)

Question: Complete 10 entries including interest, investment loss, settlement.

Comprehensive entry set covering all adjustments.

HARD

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

EASY

Problem 12.1 (Easy)

Question: Prepare balance sheet after death with basic adjustments.

Assets at revalued figures, executor liability shown, 2 partners' capitals.

MEDIUM

Problem 12.2 (Medium)

Question: Balance sheet with goodwill, reserves distributed, executor loan.

Complete reconstituted balance sheet with all adjustments reflected.

HARD

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

⚠️ Disclaimer: This resource is for educational purposes only and does not constitute legal or professional accounting advice.

Total Problems: 36 (12 Topics × 3 Difficulty Levels: Easy, Medium, Hard)

Source: West Bengal Council of Higher Secondary Education (WBCHSE) Class 12 Accountancy Curriculum

Practice Tip: Start with Easy problems, then progress to Medium and Hard levels for each topic

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