12th | Ts grewal 2021-2022 Question 46 to 50 | Retirement of a partner

Page No 6.67:

Question 46:  X, Y and Z were in partnership sharing profits in proportion to their capitals. Their Balance Sheet as on

31st March, 2018 was as follows:

Liabilities

 

`

Assets

 

`

Sundry Creditors

 

16,600

Cash

 

15,000

Workmen's Compensation Fund

 

9,000

Debtors

21,000

 

General Reserve

 

6,000

Less: Provision for Doubtful Debts

(1,400)

19,600

Capitals:

 

 

Stock

 

19,000

X

Y

Z

90,000

60,000

30,000

 

 

1,80,000

Machinery

Building

 

58,000

1,00,000

 

 

 

 

 

 

 

 

2,11,600

 

 

2,11,600

On the above date, Y retired owing to ill health. The following adjustments were agreed upon for calculation of amount due to Y:

(a) Provision for Doubtful Debts to be increased to 10% of Debtors.

(b) Goodwill of the firm be valued at 36,000 and be adjusted into the Capital Accounts of X and Z, who will share profits in future in the ratio of 3 :1.

(c)Included in the value of Sundry Creditors was `2,500 for an outstanding legal claim, which will not arise.

(d) X and Z also decided that the total capital of the new firm will be `1,20,000 in their profit-sharing ratio. Actual cash to be brought in or to be paid off as the case may be.

(e) Y to be paid `9,000 immediately and balance to be transferred to his Loan Account.

Prepare Revaluation Account, Partners' Capital Accounts and Balance Sheet of the new firm after Y's retirement.

(CBSE Sample Paper 2019)

 

Answer:

Revaluation Account

Dr.

 

Cr.

Particulars

Amount

( `)

Particulars

Amount

( `)

To provision for doubtful debts

700

By sundry creditors

2,500

To capital a/c – Profit transferred;

 X=1800×3/6=900

y=1800×2/6=600

Z=1800×1/6=300

1,800

2,500

2,500

 

 

 

 

 

 

 

 

 

 

 

  

Partners’ Capital Accounts

Dr.

 

Cr.

Particulars

X

Y

Z

Particulars

X

Y

Z

To Y’s capital a/c

9,000

3,000

By Balance b/c

90,000

60,000

30,000

To Cash a/c

9,000

By X’s Capital a/c

9,000

To Y’s loan a/c

68,600

By Z’s Capital a/c

3,000

 To  Balance C/d

89,400 

 

29,800 

By Workers’ compensation fund

4,500

3,000

1,500

By General reserve

3,000

2,000

1,000

By Revaluation a/c

900

600

300

98,400

77,600

32,800

98,400

77,600

32,800

 To  Balance C/d

 90,000

 

 30,000

 By Balance b/d

89,400

 

29,800 

By Cash a/c

600

200

 

 

 90,000

 

 30,000

90,000

 

 30,000

 

 

Balance Sheet

as on April 01, 2018 after Z’s retirement

Liabilities

Amount

( `)

Assets

Amount

( `)

Sundry creditors

14,100

Cash a/c

(15,000-9000+600+200)

6,800

Capital a/c

Debtors                            21,000

Less; Prov. For D.D.        2,100

 

18,900

X= 90,000

Z= 30,000

 

1,20,000

Stock

Machinery

19,000

58,000

Y’s loan a/c

68,600

Buildings

1,00,000

2,02,700

2,02,700

 

 

Working notes;

WN-1 Calculation of new and gaining ratio

Old ratio of X,Y and Z =90,0000:60,000:30,000=3:2:1

New ratio of X and Z= 3:1

Gaining ratio= New ratio- Old ratio

X’s gain = ¾- 3/6 =18-12/24=6/24

Z’s gain =1/4-1/6=6-4/24=2/24

Gaining ratio of A:C = 6:2=3:1

WN-2 treatment of Goodwill

Goodwill of the firm= 36,000

Y will be compensated for 36,000×2/6=12,000

X will compensate =12,000×3/4=9,000

Z will compensate =12,000×1/4=3,000

 

Condition for goodwill treatment: Remaining partner to retiring partner

X’s capital     a/c

Dr.

9,000

 

Z’s capital     a/c

Dr.

3,000

 

 To Y’s capital a/c

 

 

12,000

WN-3 Capital adjustment

X’s capital = 1,20,000×3/4=90,000

Z’s capital = 1,20,000×1/4=30,000

 



Page No 6.67:

Question 47:

Amit, Balan and Chander were partners in a firm sharing profits in the proportion of 1/2, 1/3 and 1/6 respectively. Chander retired on 1st April, 2014. The Balance Sheet of the firm on the date of Chander's retirement was as follows:
 

Liabilities

Amount

( `)

Assets

Amount

( `)

Sundry Creditors

12,600

 Bank

4,100

Provident Fund

3,000

 Debtors

30,000

 

General Reserve

9,000

 Less: Provision 

1,000

29,000

Capital A/cs:

 

 

 

 

Amit

40,000

 

Stock

25,000

Balan

36,500

 

Investments

10,000

Chander

20,000

96,500

Patents

5,000

 

 

 

Machinery

48,000

 

1,21,100

 

1,21,100

 

 

 

 

 
It was agreed that:
(i)  Goodwill will  be valued at 
` 27,000.
(ii) Depreciation of 10% was to be provided on Machinery.
(iii) Patents were to be reduced by 20%. 
(iv) Liability on account of Provident Fund was estimated at  ` 2,400.
(v) Chander took over Investments for  ` 15,800.
(vi) Amit and Balan decided to adjust their capitals in proportion of their profit-sharing ratio by opening Current Accounts.
Prepare Revaluation Account and Partners' Capital Accounts on Chander's retirement. 

 

Answer:

Revaluation Account

Dr.

 

Cr.

Particulars

Amount

`

Particulars

Amount

`

Machinery

4,800

Investments A/c

5,800

Patents

1,000

Provident Fund A/c

600

Profit transferred to:

 

 

 

Amit’s Capital A/c

300

 

 

 

Balan’s Capital A/c

200

 

 

 

Chander’s Capital A/c

100

600

 

 

 

6,400

 

6,400

 

 

 

 

 

 

 

 

 

 

 

 

Partners’ Capital Account

Dr.

Cr.

Particulars

Amit

Balan

Chander

Particulars

Amit

Balan

Chander

Investments A/c

 

 

15,800

Balance b/d

40,000

36,500

20,000

Chander’s Capital A/c

2,700

1,800

 

Revaluation A/c (Profit)

300

200

100

Loan A/c

 

 

10,300

General Reserve

4,500

3,000

1,500

Current A/c

 

5,900

 

Amit’s Capital A/c

 

 

2,700

Balance c/d

48,000

32,000

 

Balan’s Capital A/c

 

 

1,800

 

 

 

 

Current A/c

5,900

 

 

 

50,700

39,700

26,100

 

50,700

39,700

26,100

 

 

 

 

 

 

 

 

 

Working Notes:

WN1: Adjustment of Goodwill

Chander’s share of Goodwill =27,000 ×1/6=4,500

Amit wil pay=4,500×3/5=2,700

Balan wil pay=4,500×2/5=1,800

 

WN2 Adjustment of Capital
Adjusted Old Capital of Amit=44,800 (40,000+4,500+300)-2,700=
` 42,100

Adjusted Old Capital of Balan=39,700 (36,500+3,000+200)-1,800=` 37,900

Total Adjusted Capital=42,100+37,900=` 80,000

New Profit Sharing Ratio=3:2

Amit's New Capital=80,000×3/5=` 48,000

Balan's New Capital=80,000×2/5=` 32,000


Note: Since, here no information is given regarding the share acquired by Amit and Balan, therefore, their gaining ratio is same as their new profit sharing ratio i.e. 3 : 2.

 



Page No 6.68:

Question 48:

J, H and K were partners in a firm sharing profits in the ratio of 5 : 3 : 2. On 31st March, 2015, their Balance Sheet was as follows:
 

Liabilities

Amount

( `)

Assets

Amount

( `)

Creditors

42,000

Land and Building

1,24,000

Investment Fluctuation Fund

20,000

Motor Vans

40,000

Profit and Loss Account

80,000

Investments

38,000

Capital A/cs: J

1,00,000

 

Machinery

 

24,000

                     H

80,000

 

Stock

 

30,000

                     K

40,000

2,20,000

Debtors

80,000

 

 

 

 

Less: Provision

6,000

74,000

 

 

 

Cash

32,000

 

3,62,000

 

3,62,000

 

 

 

 


On the above date, H retired and J and K agreed to continue the business on the following terms:
(i) Goodwill of the firm was valued at 
` 1,02,000.
(ii) There was a claim of  ` 8,000 for workmen's compensation.
(iii) Provision for bad debts was to be reduced by  ` 2,000. 
(iv) H will be paid 
` 14,000 in cash and balance will be transferred in his Loan Account which will be paid in four equal yearly instalments together with interest @ 10% p.a.
(v) The new profit-sharing ratio between J and K will be 3 : 2 and their capitals will be in their new profit-sharing ratio. The capital adjustments will be done by opening Current Accounts.
Prepare Revaluation Account, Partners' Capital Accounts and Balance Sheet of the new firm.

 

Answer:

Revaluation Account

Dr.

 

Cr.

Particulars

Amount

`

Particulars

Amount

`

Claim for Workmen Comp.

8,000

Provision for Doubtful Debts

2,000

 

 

Loss on Revaluation

 

 

 

  J’s Capital A/c

3,000

 

 

 

  H’s Capital A/c

1,800

 

 

 

  K’s Capital A/c

1,200

6,000

 

 

 

 

 

8,000

 

8,000

 

 

 

 

 

 

 

 

 

 

 

 

Partners’ Capital Account

Dr.

Cr.

Particulars

J

H

K

Particulars

J

H

K

Revaluation A/c

3,000

1,800

1,200

Balance b/d

1,00,000

80,000

40,000

H’s Capital A/c

10,200

 

20,400

IFF

10,000

6,000

4,000

Cash A/c

 

14,000

 

P&L A/c

40,000

24,000

16,000

H’s Loan A/c

 

1,24,800

 

J’s Capital

 

10,200

 

Balance c/d

1,36,800

 

38,400

K’s Capital

 

20,400

 

 

1,50,000

1,40,600

60,000

 

1,50,000

1,40,600

60,000

Current A/c

31,680

 

 

Balance b/d

1,36,800

 

38,400

Balance c/d

1,05,120

 

70,080

Current A/c

 

 

31,680

 

1,36,800

 

70,080

 

1,36,800

 

70,080

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Balance Sheet

as on March 31, 2015

Liabilities

Amount

(`)

Assets

Amount (`)

Creditors

42,000

Land and Building

1,24,000

Capitals:

 

Motor Vans

40,000

     J

1,05,120

 

Investments

38,000

     K

70,080

1,75,200

Machinery

24,000

J’s Current A/c

31,680

Stock

30,000

Claim for Workmen Compensation

8,000

Debtors

80,000

 

H’s Loan A/c

1,24,800

  Less: Provision

4,000

76,000

 

 

Cash (32,000 - 14,000)

18,000

 

 

K’s Current A/c

31,680

 

3,81,680

 

3,81,680

 

Working Notes:

WN1: Calculation of Gaining Ratio

Gaining ratio=New ratio –old ratio

J’s

=3/5-5/10

 

=1/10

k’s

=2/5-2/10

 

=2/10

Gaining ratio=1:2

WN2: Adjustment of Goodwill

H’s share of Goodwill =1,02,000×3/10=30,600

30,600 will be debited to gaining partners J and K in 1:2 ratio

j‘s share= 30,600×1/3=10,200

K‘s share= 30,600×2/3=20,400

 

WN3 Adjustment of Capital
Adjusted capital of J=1,00,000+10,000+40,000-3,000-10,200=1,36,800

Adjusted capital of K=40,000+4,000+16,000-1,200-20,400=38,400

Total Adjustment of Capital =1,36,800+38,400=1,75,200

J‘s new capital = 1,75,200×3/5=1,05,120

K‘s new capital = 1,75,200×2/5=70,080

K‘s new capital > K‘s adjuted capital  ( k owes to firm `. 31,680)

J‘s new capital < J‘s adjusted capital( Firm owes to J ` 31,680)

 

WN4 Amount transferred to H’s Loan A/c

Amount to be transferred = (Credit side - Debit side) - Cash Paid

                                         = (1,40,600 - 1,800) - 14,000 = ` 1,24,800



Page No 6.69:

Question 49:

N, S and B are partners in a firm sharing profits and losses in the proportion of 1/2 : 1/6 : 1/3 respectively. The Balance Sheet of the firm as at On 31st March, 2017,was as follow:
 

BALANCE SHEET OF N,S AND B as at 31st march, 2017

Liabilities

Amount

( `)

Assets

Amount

( `)

Bills Payable

12,000

Freehold Premises

40,000

Sundry Creditors

18,000

Machinery

30,000

General Reserve

12,000

Furniture

12,000

Capital A/cs:

 

Stock

22,000

  N

30,000

 

Sundry Debtors

20,000

 

  S

30,000

 

  Less: Provision for Doubtful Debts

1,000

19,000

  B

28,000

88,000

Cash

7,000

 

 

 

 

 

 

1,30,000

 

1,30,000

 

 

 

 

 
B retired from the business on the above date and the partners agree to the following:
(a) Freehold Premises and Stock are to be appreciated by 20% and 15% respectively.
(b) Machinery and Furniture are to be reduced by 10% and 7% respectively.
(c) Provision for Doubtful Debts is to be increased to 
` 1,500.
(d) Goodwill of the firm is valued at 
` 21,000 on B's retirement.
(e) Continuing partners to adjust their capitals in their new profit-sharing ratio after retirement of B. Surplus/deficit, if any, in their Capital Accounts will be adjusted through Current Accounts.
Prepare necessary Ledger Accounts and draw the Balance Sheet of the reconstituted firm.

 

Answer:

Revaluation Account

Dr.

 

Cr.

Particulars

Amount

( `)

Particulars

Amount

( `)

Machinery (30,000 × 10%)

Furniture (12,000 × 7%)

3,000

840

Freehold Premises (40,000 × 20%)

8,000

Provision for Doubtful Debts

1,500

Stock (22,000 × 15%)

3,300

 

 

Profit transferred to:

 

 

 

N’s Capital A/c

2,980

 

 

 

S’s Capital A/c

993

 

 

 

B’s Capital A/c

1,987

6,960

 

 

 

11,300

 

11,300

 

 

 

 

 

Partner’s Capital Accounts

Dr.

 

Cr.

Particulars

N

S

B

Particulars

N

S

B

B’s Capital A/c

5,250

1,750

 

Balance b/d

30,000

30,000

28,000

B’s Loan A/c

 

 

40,987

General Reserve

6,000

2,000

4,000

Balance c/d

33,730

31,243

40,987

N’s Capital A/c (Goodwill)

 

 

5,250

 

 

 

 

B’s Capital A/c (Goodwill)

 

 

1,750

 

Revaluation A/c (Profit)

2,980

993

1,987

 

38,980

32,993

40,987

 

38,980

32,993

40,987

Y’s Current A/c

 

7,500

 

Balance b/d

33,730

31,243

 

Balance c/d

48,730

16,243

 

X’s Current A/c

15,000

 

 

 

48,730

31,243

 

 

48,730

31,243

 

 

 

 

 

 

 

 

 

 

Balance Sheet
as on 1st April, 2017

Liabilities

Amount

( `)

Assets

Amount

( `)

Bills Payable

12,000

Freehold Premises (40,000 + 8,000)

48,000

Sundry Creditors

18,000

Machinery (30,000 – 3,000)

27,000

B’s Loan

40,987

Furniture (12,000 – 840)

11,160

Capital A/cs:

 

Stock (22,000 + 3,300)

25,300

N

48,730

 

Sundry Debtors

20,000

 

S

16,243

64,973

Less: Provision for Doubtful Debts

 

(2,500)

 

18,500

S’s Current A/c

15,000

Cash

7,000

 

 

N’s Current A/c

15,000

 

1,50,960

 

1,50,960

 

 

 

 


Working Notes

WN 1 Calculation of Profit Sharing Ratio

Old Ratio (N, S and B) = 3 : 1 : 2

B retires from the firm.

New Ratio (N and S) = 3 : 1 and

Gaining Ratio = 3 : 1

WN 2 Adjustment of Goodwill

Goodwill of the firm =
` 21,000

B’s Share of Goodwill =
= 21,000×2/6=7,000


This share of goodwill is to be distributed between N and S in their gaining ratio (i.e. 3 : 1).

N‘s share
= 7,000×3/4=5,250

S‘s share= 7,000×1/4=1,750

 

Condition for goodwill treatment; gaining partner to retiring partner

N’s capital a/c            Dr.                5,250
S’s Capital a/c           Dr.                1,750

   To B’s Capital a/c                                   7,000

WN 3 Adjustment of Partners’ Capital after B’s Retirement

Combined Capital of N and S after all adjustments = 33,730 + 31243 =
`. 64,973

New Ratio = 3 : 1

N‘s new capital
= 64,973×3/4=48,730

S‘s new capital = 64,973×1/4=16,243

 



Page No 6.69:

Question 50: Leena, Madan and Naresh were partners in a firm sharing profits and losses in the ratio of 2:2 :3. On 31st March, 2015, their Balance Sheet was as follows:

BALANCE SHEET as at 31st March, 2015

Liabilities

 

`

Assets

`

Trade Creditors

 

1,60,000

Land and Building

10,00,000

Bank Overdraft

 

44,000

Machinery

5,00,000

Long-term Debts

 

4,00,000

Furniture

7,00,000

Employees' Provident Fund

 

76,000

Investments

2,00,000

Capitals:

 

 

Closing Stock

8,00,000

Leena

12,50,000

 

 

 

Madan

8,00,000

 

Sundry Debtors

4,00,000

Naresh

10,50,000

31,00,000

Bank

80,000

 

 

 

Deferred Advertisement Expenditure

1,00,000

 

 

37,80,000

 

37,80,000

On 31st March, 2015, Madan retired from the firm and the remaining partners decided to carry on the

business. It was decided to revalue assets and liabilities as under:

(i) Land and Building be appreciated by `2,40,000 and Machinery be depreciated by 10%.

(ii) 50% of Investments were taken over by the retiring partner at book value.

(iii) An old customer Mohit whose account was written off as bad debt had promised to pay `7,000 in settlement of his full debt of `10,000.

(iv) Provision for Doubtful Debts was to be made at 5% on debtors.

(v) Closing Stock will be valued at market price which is `1,00,000 less than the book value.

(vi) Goodwill of the firm be valued at `5,60,000 and Madan's share of goodwill be adjusted in the accounts of Leena and Naresh. Leena and Naresh decided to share future profits and losses in the ratio of 3:2.

(vii) The total capital of the new firm will be `32,00,000 which will be in the proportion of the profit sharing ratio of Leena and Naresh.

(vii) Amount due to Madan was settled by accepting a Bill of Exchange in his favour payable after 4 months.

Prepare Revaluation Account, Partners' Capital Accounts and Balance Sheet of the firm after Madan's retirement.

(AI 2016 C)

 

Answer:

Revaluation Account

Dr.

 

Cr.

Particulars

Amount

( `)

Particulars

Amount

( `)

Machinery

Provision for D.D.

Capital – profit transferred to;

Leena = 70,000×2/7=20,000

Madan = 70,000×2/7=20,000

Naresh = 70,000×3/7=30,000

50,000

1,00,000

 

 

 

70,000

Land and building  

2,40,000

2,40,000

2,40,000

 

 

 

 

 

Partner’s Capital Accounts

Dr.

 

Cr.

Particulars

Leena

Madan

Naresh

Particulars

Leena

Madan

Naresh

To Madan’s capital a/c

To Naresh’s capital a/c

To Def. Adv. exp. A/c

1,60,000

16,000

28,571

 

 

28,571

 

 

42,858

By Balance b/d

By Leena’s capital a/c

By Revaluation a/c

12,50,000

 

20,000

8,00,000

160,000

20,000

10,50,000

16,000

30,000

To Investment a/c

1,00,000

To bills payables a/c

8,51,429

To Balance C/d

10,65,429

10,53,142

12,70,000

9,80,000

10,96,000

12,70,000

9,80,000

10,96,000

To Balance C/d

19,20,000

12,80,000

By Balance b/d

By Cash a/c

10,65,429

8,54,571

10,53,142

2,26,858

19,20,000

12,80,000

19,20,000

12,80,000

 

 

 

 

 

 

 

 

 

Balance Sheet
as on 1st April, 2015

Liabilities

Amount

( `)

Assets

Amount

( `)

Trade creditors

Bank overdraft

Long-term Debts

Employees provident fund

160,000

44,000

4,00,000

76,000

Land and building

Machinery

Furniture

Investment

Closing Stock

12,40,000

4,50,000

7,00,000

1,00,000

7,00,000

Capital

Leena = 1920,000

Naresh= 12,80,000

 

 

32,00,000

Debtors                                  4,00,000

Less; prov. For D.D.                20,000

Cash (80,000+8,54,571+2,26,858)

 

3,80,000

11,61,429

Bills payables

8,51,429

47,31,429

47,31,429

 

 

 

 


Working Notes

WN 1 Calculation of Profit Sharing Ratio

Old Ratio (Leena , Madan and Naresh) = 2 : 2 : 3
New Ratio (Leena and Naresh) = 3 : 2 and

Madan retires from the firm.

Gaining ratio= new ratio- old ratio

Leena’s = 3/5-2/7=21-10/35=11/35 (gain)
Naresh’s =2/5- 3/7=14-15/35= -1/35 (Sacrifice)

WN 2 Adjustment of Goodwill

Goodwill of the firm =
` 5,60,000

Madan will be compensated =5,60,000×2/7=1,60,000

Naresh will be compensated =5,60,000×1/35=16,000

Leena will compensate =5,60,000×11/35=1,76,000

 

Condition for goodwill treatment; gaining partner to retiring partner

Leena’s capital a/c            Dr.                176,000

   To Madan’s Capital a/c                                   1,60,000

   To Naresh’s Capital a/c                                      16,000


WN 3 Adjustment of Partners’ Capital after Madan’s Retirement

leena’s capital= 32,00,000×3/5=19,20,000

Naresh’s capital= 32,00,000×2/5=12,80,000