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Illustrations · Illustration 28
Q.

The Balance Sheet of W and R who shared profits in the ratio of 3:2 was as follows on January 01, 2015.

Balance Sheet of W and R as on Jan. 01, 2015

LiabilitiesAmount (₹)AssetsAmount (₹)
Sundry Creditors20,000Cash in hand5,000
Partner's Capital: W 40,000; R 30,00070,000Sundry Debtors 20,000 less Provision for doubtful debts 70019,300
Stock25,000
Plant and Machinery35,000
Patents5,700
Total90,000Total90,000

On this date B was admitted as a partner on the following conditions:

  1. He was to get 4/15 share of profit.
  2. He had to bring in ₹30,000 as his capital.
  3. He would pay cash for goodwill which would be based on 2½ years purchase of the profits of the past four years.
  4. W and R would withdraw half the amount of goodwill premium brought by B.
  5. The assets would be revalued as: Sundry Debtors at book value less a provision of 5%; Stock at ₹20,000; Plant and Machinery at ₹40,000; and Patents at ₹12,000.
  6. Liabilities were valued at ₹23,000, one bill for goods purchased having been omitted from books.
  7. Profit for the past four years were: 2011 — ₹15,000; 2012 — ₹20,000; 2013 — ₹14,000; 2014 — ₹17,000.

Give necessary journal entries and ledger accounts to record the above, and prepare the Balance Sheet after B's admission.

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Goodwill of the firm ₹41,250; B brings ₹30,000 capital + ₹11,000 goodwill. Revaluation profit ₹3,000 (3:2). W and R withdraw half the premium (₹3,300 and ₹2,200). Closing capitals: W ₹45,100, R ₹33,400, B ₹30,000. New ratio 33:22:20. Balance Sheet totals ₹1,31,500.

Concept

This is a full NCERT Class 12 Accountancy admission problem where goodwill has to be valued (average profits method) before it can be treated. The new partner pays goodwill in cash; because the sacrificing ratio equals the old ratio 3:2 (nothing being said about how B acquires his share), the premium is credited to W and R in 3:2, and they are allowed to withdraw half of it.

Working Notes

1. Goodwill — Total profit of four years = 15,000 + 20,000 + 14,000 + 17,000 = ₹66,000. Average = ₹66,000/4 = ₹16,500. Goodwill = ₹16,500 × 2½ (5/2) = ₹41,250. B's share = ₹41,250 × 4/15 = ₹11,000.

2. Revaluation — Provision for doubtful debts raised to 5% of ₹20,000 = ₹1,000 (increase of ₹300); Stock down ₹5,000; Plant up ₹5,000; Patents up ₹6,300; Creditors (liabilities) up ₹3,000. Net profit = (5,000 + 6,300) − (300 + 5,000 + 3,000) = ₹3,000, shared 3:2 → W ₹1,800, R ₹1,200.

3. New profit-sharing ratio — Remaining share after B = 1 − 4/15 = 11/15.

W = 11/15 × 3/5 = 33/75; R = 11/15 × 2/5 = 22/75; B = 4/15 = 20/75 → 33:22:20.

Solution

Journal

DateParticularsL.F.Debit (₹)Credit (₹)
2015 Jan 1Cash A/c Dr.41,000
  To B's Capital A/c30,000
  To Goodwill A/c11,000
(Sum brought in by B as his capital and his share (4/15) of the goodwill)
Goodwill A/c Dr.11,000
  To W's Capital A/c6,600
  To R's Capital A/c4,400
(Goodwill credited to W and R in old ratio 3:2)
W's Capital A/c Dr.3,300
R's Capital A/c Dr.2,200
  To Cash A/c5,500
(Half of goodwill withdrawn by the old partners)
Revaluation A/c Dr.5,300
  To Provision for Doubtful Debts A/c300
  To Stock A/c5,000
(Increase in provision to ₹1,000 and decrease in stock)
Plant and Machinery A/c Dr.5,000
Patents A/c Dr.6,300
  To Revaluation A/c11,300
(Increase in value of plant and patents)
Revaluation A/c Dr.3,000
  To Sundry Creditors A/c3,000
(Increase in liabilities)
Revaluation A/c Dr.3,000
  To W's Capital A/c1,800
  To R's Capital A/c1,200
(Profit on revaluation transferred to W and R in 3:2)

Cash Account

ParticularsAmount (₹)ParticularsAmount (₹)
To Balance b/d5,000By W's Capital3,300
To B's Capital30,000By R's Capital2,200
To Goodwill11,000By Balance c/d40,500
Total46,000Total46,000

Revaluation Account

| Particulars | Amount (₹) | Particulars | Amount (₹) |

|---|---:|---|---:| …

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