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Numerical Questions · Q7
Q.

Pankaj, Naresh and Saurabh are partners sharing profits in the ratio of 3:2:1. Naresh retired from the firm due to his illness on September 30, 2017. On that date the Balance Sheet of the firm was as follows

LiabilitiesAmount (₹)AssetsAmount (₹)
General Reserve12,000Bank7,600
Sundry Creditors15,000Debtors 6,000 − Provision for Doubtful Debt 4005,600
Bills Payable12,000Stock9,000
Outstanding Salary2,200Furniture41,000
Provision for Legal Damages6,000Premises80,000
Capitals:
Pankaj46,000
Naresh30,000
Saurabh20,000
Total1,43,200Total1,43,200

Additional Information:

  1. Premises have appreciated by 20%, stock depreciated by 10% and provision for doubtful debts was to be made 5% on debtors. Further, provision for legal damages is to be made for ₹1,200 and furniture to be brought up to ₹45,000.
  2. Goodwill of the firm be valued at ₹42,000.
  3. ₹26,000 from Naresh's Capital account be transferred to his loan account and balance be paid through bank; if required, necessary loan may be obtained from Bank.
  4. Naresh's share of profit till the date of retirement is to be calculated on the basis of last year's profit, i.e., ₹60,000.
  5. New profit sharing ratio of Pankaj and Saurabh is decided to be 5:1. Give the necessary ledger accounts and balance sheet of the firm after Naresh's retirement.
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On Naresh's retirement the revaluation yields a profit of ₹18,000, the General Reserve is distributed, and Naresh's ₹14,000 share of goodwill is borne entirely by Pankaj (the only gaining partner). Pankaj's capital becomes ₹47,000 and Saurabh's ₹25,000. The amount at credit in Naresh's capital is ₹54,000 — ₹26,000 to his Loan Account and ₹28,000 paid through the bank (funded by a ₹20,400 bank loan). The Balance Sheet totals ₹1,54,800.

Concept

Pankaj, Naresh and Saurabh share profits 3:2:1; Naresh retires and the new ratio of Pankaj and Saurabh is 5:1. Revaluation profit/loss and the General Reserve go to all partners in the old ratio; Naresh's share of goodwill is charged to the gaining partners in their gaining ratio.

Working Note 1: Gaining ratio and goodwill

Gaining ratio = new − old. Pankaj: 5/6 − 3/6 = 2/6; Saurabh: 1/6 − 1/6 = 0. So Pankaj alone gains and bears Naresh's whole share of goodwill. Naresh's share = 2/6 × ₹42,000 = ₹14,000, debited to Pankaj and credited to Naresh.

Revaluation Account

ParticularsAmount (₹)ParticularsAmount (₹)
To Stock A/c (9,000 − 8,100)900By Premises A/c (96,000 − 80,000)16,000
To Provision for Legal Damages A/c (new)1,200By Provision for Doubtful Debts A/c (400 − 300)100
To Profit trf. to Capitals — Pankaj 9,000, Naresh 6,000, Saurabh 3,00018,000By Furniture A/c (45,000 − 41,000)4,000
Total20,100Total20,100

The ₹1,200 provision for legal damages is a fresh charge; the existing ₹6,000 provision is unaffected and remains on the Balance Sheet (total ₹7,200). Premises appreciate 20% (₹16,000), stock falls 10% (₹900), the doubtful-debts provision falls from ₹400 to 5% of ₹6,000 = ₹300 (a ₹100 write-back), and furniture rises to ₹45,000.

Partners' Capital Accounts

ParticularsPankaj (₹)Naresh (₹)Saurabh (₹)ParticularsPankaj (₹)Naresh (₹)Saurabh (₹)
To Naresh's Capital (goodwill)14,000——By Balance b/d46,00030,00020,000
To Naresh's Loan A/c—26,000—By General Reserve (3:2:1)6,0004,0002,000
To Bank A/c—28,000—By Revaluation A/c (profit)9,0006,0003,000
To Balance c/d47,000—25,000By Pankaj's Capital (goodwill)—14,000—
Total61,00054,00025,000Total61,00054,00025,000

Working Note 2: Bank Account

Opening bank ₹7,600 is not enough to pay Naresh the ₹28,000 due through the bank, so the firm raises a bank loan of ₹20,400 (₹28,000 − ₹7,600). Bank = ₹7,600 + ₹20,400 − ₹28,000 = nil.

Balance Sheet of Pankaj and Saurabh (after Naresh's retirement)

LiabilitiesAmount (₹)AssetsAmount (₹)
Sundry Creditors15,000Debtors 6,000 − Provision 3005,700
Bills Payable12,000Stock8,100
Outstanding Salary2,200Furniture45,000

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