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Numerical Questions · Q14
Q.

Nithya, Sathya and Mithya were partners sharing profits and losses in the ratio of 5:3:2. Their Balance Sheet as on March 31, 2020 was as follows

LiabilitiesAmount (₹)AssetsAmount (₹)
Creditors14,000Investments10,000
Reserve Fund6,000Goodwill5,000
Capitals:Premises20,000
Nithya30,000Patents6,000
Sathya30,000Machinery30,000
Mithya20,000Stock13,000
Debtors8,000
Bank8,000
Total1,00,000Total1,00,000

Mithya dies on August 1, 2020. The agreement between the executors of Mithya and the partners stated that:

  1. Goodwill of the firm be valued at 2½ times the average profits of last four years. The profits of four years were: 2016-17 ₹13,000; 2017-18 ₹12,000; 2018-19 ₹16,000; and 2014-15 ₹15,000.
  2. The patents are to be valued at ₹8,000, Machinery at ₹25,000 and Premises at ₹25,000.
  3. The share of profit of Mithya should be calculated on the basis of the profit of 2019-20.
  4. ₹4,200 should be paid immediately and the balance should be paid in 4 equal half-yearly instalments carrying interest @ 10%. Record the necessary journal entries to give effect to the above and write the executor's account till the amount is fully paid. Also prepare the Balance Sheet of Nithya and Sathya as it would appear on August 1, 2020 after giving effect to the adjustments.
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Mithya’s share of goodwill, revaluation profit, and profit till death are computed and credited to her capital account. After adjustments, ₹25,400 is transferred to her executors’ loan account, of which ₹4,200 is paid immediately. The balance is paid in four half-yearly instalments with 10% interest. Journal entries, executor’s account, and the new Balance Sheet of Nithya and Sathya as on August 1, 2020 are prepared.

Concept and Accounting Treatment

When a partner dies, the partnership is dissolved as far as that partner is concerned. The deceased partner’s estate is entitled to:

  • Her capital balance as per the last Balance Sheet.
  • Her share of goodwill (valued as per agreement).
  • Her share of revaluation profit/loss on assets and liabilities.
  • Her share of profit from the last Balance Sheet date to the date of death.
  • Any accumulated reserves or profits (like Reserve Fund).

The entries are:

  1. Goodwill adjustment: The gaining partners (Nithya and Sathya) compensate the deceased partner for her share of goodwill. Since the old ratio is 5:3:2 and Mithya dies, the new ratio between Nithya and Sathya becomes 5:3 (same as old ratio between them). The gaining ratio is the same as old ratio between the continuing partners. So, Nithya and Sathya debit their capital accounts in the ratio 5:3 and credit Mithya’s capital account.
  2. Revaluation of assets: Increase/decrease in asset values is recorded through a Revaluation Account. Profit/loss is shared among all partners in old ratio.
  3. Reserve Fund: Distributed among all partners in old ratio.
  4. Profit till death: Calculated based on the profit of the previous year (2019-20) and the period from April 1 to August 1, 2020 (4 months).
  5. Executor’s account: After all adjustments, the net amount due to Mithya is transferred to her executor’s loan account. Payment is made as per agreement.
Watch out

A common mistake is to treat goodwill valuation as an asset to be recorded in the books. Here, goodwill is not brought into the books; only the adjustment entry between partners is passed. Also, the profit for 2019-20 must be computed correctly — the question gives profits for four years, but the last year (2019-20) profit is not directly given; it must be derived from the average profit formula.


Step 1: Compute Goodwill

Average profit of last four years:

  • 2016-17: ₹13,000
  • 2017-18: ₹12,000
  • 2018-19: ₹16,000
  • 2019-20: ₹15,000 (given as 2014-15 in question — clearly a typo; it is 2019-20)

Average = (13,000 + 12,000 + 16,000 + 15,000) / 4 = 56,000 / 4 = ₹14,000

Goodwill = 2.5 times average profit = 2.5 × 14,000 = ₹35,000

Mithya’s share = 2/10 × 35,000 = ₹7,000

Gaining ratio: Nithya and Sathya continue in the same ratio 5:3. So, Nithya’s gain = 5/8 of 7,000 = ₹4,375; Sathya’s gain = 3/8 of 7,000 = ₹2,625.


Step 2: Revaluation of Assets

AssetBook Value (₹)Revalued Value (₹)Change (₹)
Patents6,0008,000+2,000
Machinery30,00025,000-5,000
Premises20,00025,000+5,000

Net revaluation profit = +2,000 - 5,000 + 5,000 = ₹2,000

Shared in 5:3:2:

  • Nithya: 5/10 × 2,000 = ₹1,000
  • Sathya: 3/10 × 2,000 = ₹600
  • Mithya: 2/10 × 2,000 = ₹400

Step 3: Reserve Fund Distribution

Reserve Fund = ₹6,000

Shared in 5:3:2:

  • Nithya: 5/10 × 6,000 = ₹3,000
  • Sathya: 3/10 × 6,000 = ₹1,800
  • Mithya: 2/10 × 6,000 = ₹1,200

Step 4: Profit till Death

Profit for 2019-20 = ₹15,000 (given)

Period from April 1, 2020 to August 1, 2020 = 4 months

Mithya’s share = 2/10 × 15,000 × 4/12 = 2/10 × 5,000 = ₹1,000


Step 5: Mithya’s Capital Account

ParticularsAmount (₹)ParticularsAmount (₹)
To Executor’s A/c (transfer)25,400By Balance b/d20,000
By Reserve Fund A/c1,200
By Revaluation A/c400
By Goodwill A/c (Nithya)4,375
By Goodwill A/c (Sathya)2,625
By Profit & Loss Suspense A/c1,000
Total25,400Total25,400

Step 6: Journal Entries

DateParticularsL.F.Debit (₹)Credit (₹)
2020 Aug 1Nithya’s Capital A/c Dr.4,375
Sathya’s Capital A/c Dr.2,625
To Mithya’s Capital A/c7,000
(Being Mithya’s share of goodwill adjusted in gaining ratio 5:3)
Revaluation A/c Dr.5,000
To Machinery A/c5,000
(Being machinery depreciated)
Patents A/c Dr.2,000
Premises A/c Dr.5,000
To Revaluation A/c7,000
(Being patents and premises appreciated)
Revaluation A/c Dr.2,000
To Nithya’s Capital A/c1,000
To Sathya’s Capital A/c600
To Mithya’s Capital A/c400
(Being revaluation profit transferred to partners’ capital accounts)
Reserve Fund A/c Dr.6,000
To Nithya’s Capital A/c3,000
To Sathya’s Capital A/c1,800
To Mithya’s Capital A/c1,200
(Being reserve fund distributed among partners)
Profit & Loss Suspense A/c Dr.1,000
To Mithya’s Capital A/c1,000
(Being Mithya’s share of profit till death credited)
Mithya’s Capital A/c Dr.25,400
To Mithya’s Executor’s A/c25,400
(Being amount due to Mithya transferred to executor’s account)
Mithya’s Executor’s A/c Dr.4,200
To Bank A/c4,200
(Being immediate payment made to executor)

Step 7: Mithya’s Executor’s Account

Balance due = ₹25,400

Immediate payment = ₹4,200

Balance = ₹21,200

To be paid in 4 equal half-yearly instalments = ₹5,300 each

Interest @ 10% p.a. on outstanding balance.

DateParticularsAmount (₹)DateParticularsAmount (₹)
2020 Aug 1To Bank A/c4,2002020 Aug 1By Mithya’s Capital A/c25,400

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