12th | Ts grewal 2021-2022 Question 86 to 90 | Admission of a partner

Double Entry Book Keeping Ts Grewal Volume I 2021-2022 Solutions for Class 12

Commerce Accountancy Chapter 5 - Admission Of A Partner

 

Page No 5.108:

Question 86:

Following is the Balance Sheet of Abha and Binay as at 31st March, 2014:

 

Liabilities

   `

Assets

   `

Creditors

13,000

Bank

15,000

Employees Provident Fund

8,000

Debtors

22,000

 

Workmen Compensation Fund

         

15,000

Less : Provision for Doubtful Debts

1,000

21,000

Capital A/cs:

 

 

Stock

10,000

Abha

55,000

 

Plant and Machinery

60,000

Binay

30,000

85,000

Goodwill  

10,000

 

 

Profit and Loss

5,000

 

 

 

 

 

 

 

 

 

1,21,000

 

1,21,000

 

 

 

 


Chitra was admitted as a partner for 1/4th share in the profits of the firm. It was decided that:
(a) Bad Debts amounted to  
 ` 1,500 will be written off.
(b) Stock worth  
 ` 8,000 was taken over by Abha and Binay at Book Value in their profit-sharing ratio. The remaining stock was valued at    ` 2,500.
(c) Plant and Machinery and Goodwill were valued at  
 ` 32,000 and    ` 20,000 respectively.
(d) Chitra brought her share of goodwill in cash.
(e) Chitra will bring proportionate capital and the capitals of Abha and Binay will be adjusted in their profit-sharing ratio by bringing in or paying off cash as the case may be.
Prepare Revaluation Account and Partners' Capital Accounts.

Answer:

Revaluation Account

 

Dr.

Cr.

 

Particulars

Amount

   `

Particulars

Amount

   `

 

Bad debts

500

Stock

500

 

Plant and Machinery

28,000

Loss on Revaluation

 

 

 

 

Abha’s Capital A/c

14,000

 

 

 

 

Binay’s Capital A/c

14,000

28,000

 

 

 

 

 

 

 

28,500

 

28,500

 

 

 

 

 

 


Partners’ Capital Accounts

 

Dr.

 

Cr.

Particulars

Abha

Binay

Chitra

Particulars

Abha

Binay

Chitra

Revaluation

14,000

14,000

 

Balance b/d

55,000

30,000

 

Goodwill

5,000

5,000

 

Bank

 

 

18,000

Profit and Loss

2,500

2,500

 

Premium for Goodwill

2,500

2,500

 

Stock

4,000

4,000

 

WCF

7,500

7,500

 

Balance c/d

39,500

14,500

18,000

 

 

 

 

 

65,000

40,000

18,000

 

65,000

40,000

18,000

Bank

12,500

 

 

Balance c/d

39,500

14,500

18,000

Balance c/d (adjusted)

27,000

27,000

18,000

Bank

 

12,500

 

 

39,500

27,000

18,000

 

39,500

27,000

18,000

 

 

 

 

 

 

 

 


Working Notes:

WN1 Calculation of Chitra's Capital

Chitra's Capital=Total Adjusted Capital of Abha and Binay×Reciprocal of Combined Profit Share×Chitra's Profit Share

Abha's Adjusted Capital =55,000+2,500+7,500-14,000-5,000-2,500-4,000=   ` 39,500

Binay's Adjusted Capital=30,000+2,500+7,500-14,000-5,000-2,500-4,000=   ` 14,500

Chitra's Capital=(39,500+14,500)×4/3×1/4=   ` 18,000

WN2 Calculation of New Capital

New Capital=Total Adjusted Capital×Respective Partner's Profit Share

Abha's New Capital=(39,500+14,500)×1/2=   ` 27,000

Binay's New Capital=(39,500+14,500)×1/2=   ` 27,000

WN3 Calculation of Chitra's Share of Goodwill

Chitra's Share=Firm's Goodwill×Chitra's Profit Share                         

 =20,000×1/4=   ` 5,000

   ` 5,000 will be shared between Abha and Binay in sacrificing ratio 1:1 

 



Page No 5.109:

Question 87: Raman and Rohit were partners in a firm sharing profits and losses in the ratio of 2: 1. On 31st March, 2018, their Balance Sheet was as follows:

 

BALANCE SHEET OF RAMAN AND ROHIT as at 31st March, 2018

Liabilities

 

`

Assets

`

Capitals:

Raman

Rohit

 

1,40,000

1,00,000

 

 

240,000

40,000

1,60,000

 

 

Plant and Machinery

Furniture and Fixtures

Stock

1,75,000

65,000

47,000

 

 

1,03,000

50,000

 Workmen Compensation Fund

Creditors

 

Debtors

Less: Provision for Doubtful Debts

1,10,000

7,000

 

Bank Balance

 

4,40,000

 

4,40,000

On the above date, Saloni was admitted in the partnership firm. Raman surrendered 2/5th of his share

and Rohit surrendered 1/5th of his share in favour of Saloni. It was agreed that:

(i) Plant and machinery will be reduced by `35,000 and furniture and fixtures will be reduced to `58,500.

(ii) Provision for bad and doubtful debts will be increased by `3,000.

(iii) A claim for `16,000 for workmen's compensation was admitted.

(iv) A liability of `2,500 included in creditors is not likely to arise.

(v) Saloni will bring  `42,000 as her share of goodwill premium and proportionate capital.

Prepare Revaluation Account, Partners' Capital Accounts and Balance Sheet of the reconstituted firm. (CBSE 2019)

 

Answer;

 

Revaluation Account

 

 

Dr.

Cr.

 

 

Particulars

Amount

   `

Particulars

Amount

   `

 

 

Plant and Machinery

35,000

Creditors

2,500

 

 

Furniture and fixtures

6,500

Loss transferred to;

 

 

 

Provision of doubtful debts

3,000 

Raman’s Capital A/c(42,000×2/3)

28,000

 

 

 

 

 

Rohit’s Capital A/c(42,000×1/3)

14,000

42,000

 

 

 

 

 

 

 

 

 

44,500

 

44,500

 

 

 

 

 

 

 

 


Partners’ Capital Accounts

 

 

Dr.

 

Cr.

 

Particulars

Abha

Binay

Chitra

Particulars

Abha

Binay

Chitra

 

To Revaluation

28,000

14,000

 

By Balance b/d

140,000

1,00,000

 

To Balance c/d

1,61,600

1,02,400

 

 

 

By Premium

33,600

8,400

 

 

By W.C.F.

16,000

8,000

 

 

 

 

 

 

 

 

1,89,600

1,16,400

 

1,89,600

1,16,400

 

To Balance c/d

1,61,600

1,02,400

1,32,000

Balance c/d

39,500

14,500

 

Bank A/c

 

12,500

1,32,000 

 

 

1,61,600

1,02,400

1,32,000

 

1,61,600

1,02,400

1,32,000

 

 

 

 

 

 

 

 

 

Balance Sheet

as on April 31, 2019

 

Liabilities

Amount

   `

Assets

Amount

   `

 

Creditors

1,57,500 

Plant and Machiner

Firniture and fixture

1,40,000

58,500

 

Stock

47,000

 

worker compensation liabilities   

16,000

Debtors                      1,10,000

Less; Prov. For D.D.     10,000

 

1,00,000

 

Capital A/cs:

 

Cash at Bank

2,24,000

 

Raman

1,61,600

 

(50,000+1,32,000+42,000)

 

Rohit

1,02,400

 

 

 

 

Saloni

1,32,000

3,96,000

 

 

 

 

 

 

 

 

 

5,69,500

 

5,69,500

 

 

 

 

 

 

Working note;

WN-1

Calculation of old and sacrificing ratio

Old ratio Raman: Rohit=2:1

Raman surrenders to Saloni=2/3×2/5=4/15

Rohit surrenders to Saloni=1/3×1/5=1/15

New share of -

Raman=2/3-4/15=10-4/15=6/15

Rohit=1/3-1/15=5-1/15=4/15

Saloni=4/15+1/15+5/15

 

Therefore new ratio of Raman, Rohit and Saloni =6:4:5

Sacrificing ratio= old – new

Raman=2/3-6/15=10-6/15=4/15

Rahit=1/3-4/15=5-4/15=1/15

WN-1

Calculation of Capital of Raman and Rohit=1,61,600+1,02,400=2,64,000

Share of Raman and Rohit=6/15+4/15=6+4/15=10/15

Therefore, Capital of Raman , Rohit and Saloni=2,64,000×15/10=3,96,000

Saloni’s capital=3,96,000×5/15=1,32,000

 



Page No 5.109:

Question 88:  A and B are partners in a firm sharing profits and losses in the ratio 3: 1. They admit C for 1/4th share on 31st March, 2014 when their Balance Sheet was as follows:

Liabilities

`

Assets

`

Employees' Provident Fund

 

17,000

Cash

 

6,100

Workmen Compensation Reserve

 

6,000

 

Stock

 

15,000

 

Investment Fluctuation Reserve

 

4,100

 

Debtors

Less: Provision for Doubtful Debts

50,000

2,000

 

48,000

A’s Capital a/c

B’s Capital a/c

54,000

35,000

 

89,000

Investments

Goodwill

 

7,000

40,000

 

 

 

 

 

 

 

 

1,16,100

 

 

1,16,100

 

The following adjustments were agreed upon:

(a) C brings in `16,000 as goodwill and proportionate capital.

(b) Bad debts amounted to `3,000.

(c) Market value of investment is `4,500.

(d) Liability on account of Workmen Compensation Reserve amounted to  `2,000.

Prepare Revaluation Account and Partners' Capital Accounts. (CBSE Sample Paper 2015)

Answer:

Revaluation A/c

Particulars

`

Particulars

`

To Bad debts

 

1,000

 

 

 

By Loss transferred to: (WN1)

A’s Capital a/c

B’s Capital a/c

 

750

250

 

 

 

 

1,000

 

1,000

 

Capital A/c

Particulars

A

B

C

Particulars

A

B

C

To revaluation a/c

To Goodwill a/c

To Balance c/d

750

30,000

39,450

250

10,000

30,150

-

-

23,200

By Balance b/d

By Investment Fluctuation Fund (WN2)

By Worker compensation Reserve a/c

By Cash a/c (WN5)

By Premium a/c (WN4)

54,000

1,200

3,000

-

12,000

 

35,000

400

1,000

-

4,000

-

-

-

23,200

-

 

 

2,12,200

1,74,800

1,00,000

 

2,12,200

1,74,800

1,00,000

 

Working Notes;

WN1 Distribution of Revaluation Loss in 3: 1

A=1,000×3/4=750

B=1,000×1/4=250

 

WN2 Investment fluctuation Reserve in 3:1

Decreased value of investment=7,000-4,500=2,500

Balance of Investment fluctuation reserve = 4,100-2,500=1,600

A = 1,600×3/4 = 1,200

B = 1,600×1/4 = 400

 

WN3 Workers compensation Reserve in 3:1

Balance of Workers compensation reserve = reserve- Claim amount

=6,000-2,000=4,000

A = 4,000×3/4 = 3,000

B = 4,000×1/4 = 1,000

 

WN4 Distribution of Premium in Sacrificing Ratio 3:2

A = 16,000×3/4 = 12,000

B = 16,000×1/4 = 4,000

 

WN5 Capital brought by new partner

Total Adjusted Capital of A and B =39,450 + 30,150=69,600

Total profit sharing ratio of A and B = 1/1-1/4=3/4

Proportionate Capital Brought by C = 69,600×1/4=23,200

 



Page No 5.110:

Question 89:

L, M and N were partners in a firm sharing profits in the ratio of 3 : 2 : 1. Their Balance Sheet on 31st March, 2015 was as follows:

 

Liabilities

   `

Assets

   `

Creditors

1,68,000

Bank

34,000

General Reserve

42,000

Debtors

46,000

Capital's A/cs: L

1,20,000

 

Stock

2,20,000

  M

80,000

 

Investments     

60,000

  N

40,000

2,40,000

Furniture

20,000

 

 

 

Machinery

70,000

 

 

 

 

 

 

 

4,50,000

 

4,50,000

 

 

 

 

 


On the above date, O was admitted as a new partner and it was decided that:
(i) The new profit-sharing ratio between L, M, N and O will be 2 : 2 : 1 : 1.
(ii) Goodwill of the firm was valued at  
 ` 1,80,000 and O brought his share of goodwill premium in cash.
(iii) The market value of investments was  
 ` 36,000.
(iv) Machinery will be reduced to  
 ` 58,000.
(v) A creditor of  
 ` 6,000 was not likely to claim the amount and hence was to be written off.
(vi) O will bring proportionate capital so as to give him 1/6th share in the profits of the firm.
Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of the new firm.

(Al 2016)

Answer:

Revaluation Account

Dr.

 

Cr.

Particulars

Amount

   `

Particulars

Amount

   `

Investments

24,000

Creditors

6,000

Machinery

12,000

Loss on Revaluation

 

 

 

  L’s Capital A/c

15,000

 

 

 

  M’s Capital A/c

10,000

 

 

 

  N’s Capital A/c

5,000

30,000

 

 

 

 

 

36,000

 

36,000

 

 

 

 

 

 

 

 

 

 

 

 

Partners’ Capital Account

Dr.

Cr.

Particulars

L

M

N

O

Particulars

L

M

N

O

Reval. A/c

15,000

10,000

5,000

 

Balance b/d

1,20,000

80,000

40,000

 

Balance c/d

1,56,000

84,000

42,000

56,400

Gen. Reserve

21,000

14,000

7,000

 

 

 

 

 

 

Premium for G/w

30,000

 

 

 

 

 

 

 

 

Cash A/c

 

 

 

56,400

 

 

 

 

 

 

 

 

 

 

 

1,71,000

94,000

47,000

56,400

 

1,71,000

94,000

47,000

56,400

 

 

 

 

 

 

 

 

 

 

 

Balance Sheet

as on March 31, 2015

Liabilities

Amount

 `

Assets

Amount  `

Creditors

1,62,000

Bank (34,000+56,400+30,000)

1,20,400

Capitals:

 

Debtors

46,000

     L

1,56,000

 

Stock

2,20,000

     M

84,000

 

Investments

36,000

     N

42,000

 

Furniture

20,000

     O

56,400

3,38,400

Machinery

58,000

 

5,00,400

 

5,00,400

 

Working Notes:
 

WN1: Calculation of Sacrificing Ratio
Sacrificing Ratio =Old ratio- new ratio

L= 3/6-2/6=1/6

M=2/6-2/6=Nil

N=1/6-1/6=- Nil

WN2: Adjustment of Goodwill
O‘s of goodwill=1,80,000×1/6=30,000

30,000 will be credited to L’s capital because he is only sacrifice.


WN3 Calculation of O’s Proportionate Capital

Adjusted old capital of L =

Adjusted old capital of M =

Adjusted old capital of N =

O’s proportion capital=Total adjusted capital×O’s profit share × reciprocal combined new share of old partners

=2,82,000×1/6×6/5=56,400

 



Page No 5.110:

Question 90: Leena and Rohit are partners in a firm sharing profits in the ratio of 3: 2. On 31st March, 2018, their

Balance Sheet was as follows:

BALANCE SHEET OF LEENA AND ROHIT as at 31st March, 2018

Liabilities

`

Assets

`

 

Sundry Creditors

Bills Payable

General Reserve

Capitals:

80,000

38,000

50,000

Cash

42,000

 

Debtors

Less: Provision for Doubtful Debts

1,32,000

2,000

 

1,30,000

 

Stock

Plant and Machinery

1,46,000

1,50,000

Leena

Rohit

1,60,000

1,40,000

 

3,00,000

 

 

4,68,000

 

4,68,000

 

 

On the above date Manoj was admitted as a new partner for 1/5th share in the profits of the firm on the following terms:

(i) Manoj brought proportionate capital. He also brought his share of goodwill premium of ` 80,000 in cash.

(ii) 10% of the general reserve was to be transferred to provision for doubtful debts.

(iii) Claim on account of workmen's compensation amounted to `40,000.

(iv) Stock was overvalued by `16,000.

(v)Leena, Rohit and Manoj will share future profits in the ratio of 5:3:2.

Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of the reconstituted firm. (CBSE 2019)

 

Answer:

Revaluation Account

Dr.

 

 

Cr.

Particulars

Amount

 `

Particulars

Amount

 `

To workers’ compensation Liabilities

To Stock

40,000

16,000

By loss transferred to ;

Rohit×3/5=33,600

Leena×2/5=22,400

56,000

56,000

56,000

 

 

 

 

 

Partners’ Capital Accounts

Dr.

 

Cr.

Particulars

Leena

Rohit

Manoj

Particulars

Leena

Rohit

Manoj

To Revaluation a/c

32,600

22,400

By Balance b/d

160,000

140,000

To Balance c/d

1,93,400

1,75,600

92,250

By Premium a/c

40,000

40,000

By General reserve A/c

By Cash a/c

27,000

18,000

 

 

92,250

2,27,000

1,98,000

92,250

2,27,000

1,98,000

92,250

 

 

 

 

 

 

 

 

 

Balance Sheet

as on March 31, 2019 after Leander’s admission

Liabilities

Amount

 `

Assets

Amount

 `

Creditors

Bills payables

Workers’ compensation liabilities

80,000

38,000

40,000

Cash (42,000+80,000+92,250)

Debtors

Less; prov. For doubtful debts

 

 

1,32,000

7,000

2,14,250

 

 

1,25,000

Capital a/c;

Leena  1,93,400

Rohit   1,75,600

Manoj     92,250

 

 

 

4,61,250

Stock

Plant and machinery

1,30,000

1,50,000

6,19,250

6,19,250


Working Notes;

WN 1:
Calculation of old ratio and sacrificing ratio

 

Leena

Rohit

Manoj

OLD RATION

3  :

2

 

NEW RATIO

5 :

3  :

2

Sacrificing ratio= Old ratio – New Ratio

Leena =3/5-5/10=6-5/10=1/10

Rohit =2/5-3/10=4-3/10=1/10

Sacrificing ratio of Leena : Rohit=1:1

WN 2:

Calculation of Manoj’s capital

Capital of Leena and Rohit = 1,93,400+1,75,600=3,69,000

Share of Leena and Rohit = 8/10

Hence Capital of Leena ,Rohit and Manoj=3,69,000×10/8=4,61,250

Accordingly capital of Manoj=4,61,250-3,69,000=92,250