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Calculate New Profit Sharing Ratio? - Accountancy

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Question

Singh, Gupta and Khan are partners in a firm sharing profits in 3:2:3 ratio. They admitted Jain as a new partner. Singh surrendered 1/3 of his share in favour of Jain: Gupta surrendered 1/4 of his share in favour of Jain and Khan surrendered 1/5 in favour of Jain. Calculate new profit sharing ratio?

Sum

Solution

Old Ratio = Singh : Gupta : Khan

                = 3 : 2 : 3

                = `3/8 : 2/8 : 3/8`

Singh Surrender  = `1/3` of his share

Gupta Surrender = `1/4` of his share

Khan Surrender = `1/5` of his share

Sacrificing Ratio = Old Ratio × Surrender Ratio

Singh’s = `3/8 xx 1/3 = 3/24`

Gupta’s = `2/8 xx 1/4 = 2/32`

Khan’s = `3/8 xx 1/5 = 3/40`

New Ratio = Old Ratio − Sacrificing Ratio

Singh’s = `3/8 - 3/24 = [ 9 -3 ]/24 = 6/24`

Gupta’s = `2/8 - 2/32 = [ 8 -2]/32 = 6/32`

Khan’s = `3/8 - 3/40 = [ 15 - 3]/40 = 12/40`

New Ratio = Singh : Gupta : Khan : Jain

                  = `6/24 : 6/32 : 12/40 : 21/80`

                  = ` [120 : 90 : 144 : 126]/480`

                  = ` 20 : 15 : 24 : 21`

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Retirement and Death of a Partner - Calculation of New Profit Sharing Ratio
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Chapter 3: Reconstitution of a Partnership Firm – Admission of a Partner - Questions for Practice [Page 160]

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NCERT Accountancy - Not-for-profit Organisation and Partnership Accounts [English] Class 12
Chapter 3 Reconstitution of a Partnership Firm – Admission of a Partner
Questions for Practice | Q 10 | Page 160

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Liabilities

Amount

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Assets

Amount

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Sundry Creditors

13,800

Cash at Bank 11,000
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  X

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1,03,800


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Liabilities

Amount

(₹)

Assets

Amount

(₹)

Sundry Creditors

2,50,000

Cash at Bank 50,000
General Reserve 80,000 Bills Receivable 60,000
Partners' Loan A/cs:

 

Debtors

80,000

 

X

50,000

Less: Provision for Doubtful Debts

4,000

76,000

Y 40,000 Stock   1,24,000
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X 1,00,000   Advertisement Suspense A/c 16,000
Y

60,000

 

Profit and Loss A/c 4,000
Z

50,000

2,10,000

 

 

 

6,30,000

 

6,30,000

 
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(b) Advertisement Suspense Account to be written off. 
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Liabilities

Amount

(₹)

Assets

Amount

(₹)

Bills Payable

12,000

Freehold Premises 40,000
Sundry Creditors 28,000 Machinery 30,000
General Reserve 12,000 Furniture 12,000
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20,000

 

  Y 20,000     Less: Provision for Doubtful Debts

1,000

19,000

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78,000

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7,000

 

1,30,000

 

1,30,000

 
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Liabilities

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Creditors

11,000

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20,000

Reserves

6,000

Machinery

30,000

A's Loan A/c 5,000 Stock 10,000

Capital A/cs:

  Patents 11,000
   A

25,000

  Debtors 8,000
   B 25,000   Cash 8,000
   C

15,000

65,000

   
 

87,000

 

87,000


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(iii) Profit for the year 2017-18 be taken as having accrued at the same rate as that of the previous year.
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Prepare A's Capital Account and A's Executors' Account as on 1st October, 2018.


Virad, Vishad and Roma were partners in a firm sharing profits in the ratio of 5 : 3 : 2 respectively. On 31st March, 2013, their Balance Sheet was as under:

Liabilities Assets
Capital A/cs:   Buildings 2,00,000
Virad 3,00,000   Machinery 3,00,000
Vishad 2,50,000   Patents 1,10,000
Roma  1,50,000 7,00,000 Stock 1,00,000
Reserve Fund   60,000 Debtors   80,000
Creditors 1,10,000 Cash 80,000
  8,70,000   8,70,000


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(i) Goodwill of the firm be valued at 212 years purchase of average profits for the last three years. The average profits were ₹ 1,50,000.
(ii) Interest on capital be provided at 10% p.a.
(iii) Profits for the 2013-14 be taken as having accrued at the same rate as that of the previous year which was ₹ 1,50,000.
Prepare Virad's Capital Account to be presented to his Executors as on 1st October, 2013.


A, B and C are partners in a firm sharing profits in the proportion of 3 : 2 : 1. Their Balance Sheet as at 31st March, 2018 stood as follows:

Liabilities

Amount

(₹)

Assets

Amount

(₹)

Sundry Creditors

2,70,000

Cash in Hand

42,500

General Reserve

1,20,000

Cash at Bank

2,14,500

Capital A/cs:

  Debtors 1,63,000
  A

2,00,000

  Stock 17,500
  B 1,20,000   Investment 1,32,500
  C 

80,000

4,00,000

Building 2,10,000
      B's Loan 10,000
 

7,90,000

 

7,90,000

   
B died on 30th June, 2018 and according to the deed of the said partnership his executors are entitled to be paid as under:
(a) The capital to his credit at the time of his death and interest thereon @ 10% per annum.
(b) His proportionate share of General Reserve.
(c) His share of profit for the intervening period will be based on the sales during that period. Sales from 1st April, 2018 to 30th June, 2018 were as ₹ 12,00,000. The rate of profit during past three years had been 10% on sales.
(d) Goodwill according to his share of profit to be calculated by taking twice the amount of profits of the last three years less 20%. The profit of the previous three years were: 1st Year: ₹ 82,000; 2nd year: ₹ 90,000; 3rd year ₹ 98,000.
(e) The investments were sold at par and his executors were paid out in full.
Prepare B's Capital Account and his Executors' Account.


​​R, S and T were partners sharing profits and losses in the ratio of 5 : 3 : 2 respectively. On 31st March, 2018, their Balance Sheet stood as:

Liabilities

 

Assets

Sundry Creditors

40,000

Goodwill

25,000

Bills Payable

15,000

Leasehold

1,00,000

Workmen Compensation Reserve

30,000

Patents 30,000

Capital A/cs:

  Machinery 1,50,000
   R 1,50,000   Stock 50,000
   S

1,25,000

  Debtors 40,000
   T

75,000

3,50,000

Cash at Bank 40,000
 

4,35,000

 

4,35,000

   
T died on 1st August, 2018. It was agreed that:
(a) Goodwill be valued at 212 years' purchase of average of last 4 years' profits which were:
    2014-15: ₹ 65,000;  2015-16: ₹ 60,000; 2016-17: ₹ 80,000 and 2017-18: ₹ 75,000.
(b) Machinery be valued at ₹ 1,40,000; Patents be valued at ₹ 40,000; Leasehold be valued at ₹ 1,25,000 on 1st August, 2018.
(c) For the purpose of calculating T's share in the profits of 2018-19, the profits in 2018-19 should be taken to have accrued on the same scale as in 2017-18.
(d) A sum of ₹ 21,000 to be paid immediately to the Executors of T and the balance to be paid in four equal half-yearly instalments together with interest @ 10% p.a.
Pass necessary Journal entries to record the above transactions and T's Executors' Account. 


B, C and D were partners in a firm sharing profits in the ratio of 5 :3 : 2. On 31st December, 2008, their Balance Sheet was as follows:
 

Liabilities

Amount

(₹)

Assets

Amount
(₹)

Creditors

43,000

Cash 

10,200

Bills Payable

17,000

Stock

24,500

General Reserve

70,000

Debtors 27,300

Capital A/cs:

  Land and Building 1,40,000
 B  40,000   Profit and Loss A/c 70,000
 C

50,000

     
 D

52,000

1,42,000

   
 

2,72,000

 

2,72,000

   
B died on 31st March, 2009. The Partnership Deed provided for the following on the death of a partner:
(a) Goodwill of the firm was to be valued at 3 years' purchase of the average profit of last 5 years. The  profits for the years ended 31st December, 2007, 31st December, 2006, 31st December, 2005, and 31st December, 2004 were ₹ 70,000; ₹ 60,000; ₹ 50,000 and ₹ 40,000 respectively. 
(b) B's share of profit or loss till the date of his death was to be calculated on the basis of the profit or loss for the year ended 31st December, 2008.
You are required to calculate the following:
(i) Goodwill of the firm and B's share of goodwill at the time of his death.
(ii) B's share in the profit or loss of the firm till the date of his death.
(iii) Prepare B's Capital Account at the time of his death to be presented to his Executors.

 


The Balance Sheet of X, Y and Z as at 31st March, 2018 was:
 

Liabilities

Amount

(₹)

Assets

Amount

(₹)

Bills Payable

2,000

Cash at Bank

5,800

Employees' Provident Fund

5,000

Bills Receivable

800

Workmen Compensation Reserve

6,000

Stock 9,000
General Reserve 6,000 Sundry Debtors 16,000
Loans 7,100 Furniture 2,000

Capital A/cs:

  Plant and Machinery 6,500
X 22,750   Building 30,000
Y

15,250

  Advertising Suspense 6,000
Z

12,000

50,000

   
 

76,100

 

76,100

   
The profit-sharing ratio was 3 : 2 : 1. Z died on 31st July, 2018. The Partnership Deed provides that:
(a) Goodwill is to be calculated on the basis of three years' purchase of the five years' average profit. The profits were: 2017-18: ₹ 24,000; 2016-17: ₹ 16,000; 2015-16: ₹ 20,000 and 2014-15: ₹ 10,000 and 2013-14: ₹ 5,000.
(b) The deceased partner to be given share of profits till the date of death on the basis of profits for the previous year.
(c) The Assets have been revalued as: Stock ₹ 10,000; Debtors ₹ 15,000; Furniture ₹ 1,500; Plant and Machinery ₹ 5,000; Building ₹ 35,000. A Bill Receivable for ₹ 600 was found worthless.
(d) A Sum of ₹ 12,233 was paid immediately to Z's Executors and the balance to be paid in two equal annual instalments together with interest @ 10% p.a. on the amount outstanding.
Give Journal entries and show the Z's Executors' Account till it is finally settled.


Ravi and Mukesh are sharing profits in the ratio of 7 : 3. They admit Ashok for 3/7th share in the firm which he takes 2/7th from Ravi and 1/7th from Mukesh. Calculate new profit-sharing ratio.


Bharati and Astha were partners sharing profits in the ratio of 3 : 2. They admitted Dinkar as a new partner for 1/5th share in the future profits of the firm which he got equally from Bharati and Astha. Calculate the new profit-sharing ratio of Bharati, Astha and Dinkar.


X and Y are partners in a firm sharing profits and losses in the ratio of 3 : 2. Z is admitted as partner with 1/4 share in profit. Z acquires his share from X and Y in the ratio of 2 : 1. Calculate new profit-sharing ratio.


X, Y and Z are partners in a firm sharing profits and losses in the ratio of 5 : 3 : 2. Their Balance Sheet as at 31st March, 2018 was as follows:

Liabilities Amount
(₹)
Assets Amount
(₹)
Sundry Creditors 18,000 Goodwill 12,000
Investments Fluctuation Reserve 7,000 Patents 52,000
Workmen Compensation Reserve 7,000 Machinery 62,400
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 X 1,35,000   Stock 20,000
 Y 95,000   Sundry Debtors 24,000  

 Z

74,000 3,04,000 Less: Provision for Doubtful Debts 4,000 20,000
    Loan to Z 1,000
    Cash at Bank 600
    Profit and Loss A/c 1,50,000
    Z's Drawings 12,000
  3,36,000   3,36,000

 
Z died on 1st April, 2018, X and Y decide to share future profits and losses in ratio of 3 : 5. It was agreed that:
(i) Goodwill of the firm be valued 212 years' purchase of average of four completed years' profits which were: 2014→₹ 1,00,000; 2015-16→₹ 80,000; 2016→17 ₹ 82,000.

(ii) Stock is undervalued by ₹ 14,000 and machinery is overvalued by ₹ 13,600.
(iii) All debtors are good. A debtor whose dues of ₹ 400 were written off as bad debts paid 50% in full settlement.
(iv) Out of the amount of insurance premium debited to Profit and Loss Account, ₹ 2,200 be carried forward as prepaid insurance premium.
(v) ₹ 1,000 included in Sundry Creditors is not likely to arise.
(vi) A claim of ₹ 1,000 on account of Workmen Compensation to be provided for.
(vii) Investment be sold for ₹ 8,200 and a sum of ₹ 11,200 be paid to executors of Z immediately. The balance to be paid in four equal half-yearly instalments together with interest @ 8% p.a. at half year rest.
Show Revaluation Account, Capital Accounts of Partners and the Balance Sheet of the new firm.


Find New Profit-sharing Ratio:
A and B are equal partners. They admit C and D as partners with 1/5th and 1/6th share respectively.


Mandeep, Vinod and Abbas are partners sharing profits and losses in the ratio of 3 : 2 : 1. From 1st April, 2019 they decided to share profits equally. The Partnership Deed provides that in the event of any change in profit-sharing ratio, goodwill shall be valued at three years' purchase of average profit of last five years. The profits and losses of past five years are:
Profit − Year ended 31st March, 2015 − ₹ 1,00,000; 2016 − ₹ 1,50,000; 2018 − ₹ 2,00,000; 2019 − ₹ 2,00,000.
Loss − Year ended 31st March, 2017 − ₹ 50,000.
Pass the Journal entry showing the working.


X and Y are partners in a firm sharing profits and losses in the ratio of 3 : 2. With effect from 1st April, 2019, they decided to share future profits equally. On the date of change in the profit-sharing ratio, the Profit and Loss Account showed a credit balance of ₹ 1,50,000. Record the necessary Journal entry for the distribution of the balance in the Profit and Loss Account immediately before the change in the profit-sharing ratio. 


A, B and C who are presently sharing profits and losses in the ratio of 5 : 3 : 2 decide to share future profits and losses in the ratio of 2 : 3 : 5. Give the journal entry to distribute 'Investments Fluctuation Reserve' of ₹ 20,000 at the time of change in profit-sharing ratio, when investment (market value ₹ 95,000) appears in the books at ₹ 1,00,000.


Following is the Balance Sheet of A and B, who shared Profits and Losses in the ratio of 2 : 1, as at 1st April, 2019:

BALANCE SHEET OF A AND B

as on 1st April, 2019

Liabilities Amount
(₹)
Assets

Amount

(₹)

Capital A/cs:   Land ad Building 2,90,000
 A 3,00,000   Furniture 80,000
 B 2,00,000 5,00,000 Stock 2,40,000
Reserve   1,50,000 Debtors 1,50,000
Creditors   2,00,000 Bank 60,000
      Cash 30,000
    8,50,000   8,50,000

On the above date, the partners changed their profit-sharing ratio to 3 : 2. For this purpose, the goodwill of the firm was valued at ₹ 3,00,000. The partners also agreed for the following:
(a) The value of Land and Building will be ₹ 5,00,000;
(b) Reserve is to be maintained at ₹ 3,00,000.
(c) The total capital of the partners in the new firm will be ₹ 6,00,000, which will be shared by the partners in their new profit-sharing ratio.
Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of the reconstituted firm.


A and B share profits in the ratio of 2 : 1. C is admitted with `1/4` share in profits. C acquires `3/4` of his share from A and `1/4` of his share from B. The new ratio will be:


Bakul, Champak and Darshan were partners in the firm sharing profits in the ratio of 5:4:1. The profit of the firm for the year ending on March 31, 2019, was Rs. 1,00,000. Champak dies on June 30, 2019. What is Champak's share of profit for the period from April 1 to June 30, 2019?


How is the new profit sharing ratio mathematically stated?


For the following particulars, calculate the new profit-sharing of the partners.

Shiv, Mohan and Hari were partners in a firm, sharing profits in the ratio of 5 : 5 : 4. Finally, Mohan retired, and his share was divided equally between Shiv and Hari.


A, B, C and D were partners in a firm sharing profits and losses in the ratio of 1 : 2 : 3 : 4. On 31.3.2022, C retired from the firm and his share was acquired by A and B in the ratio of 3 : 2. Calculate the new profit sharing ratio of A, B and D.


Akshat, Javed and Gaurav are partners in a firm sharing profits in the ratio of 5 : 3 : 7. Akshat died on 31st March, 2024. Javed and Gaurav decided to share the profits in reconstituted firm in the ratio 2 : 3. The capital accounts of the partners on 31st March, 2024, before considering the firm’s goodwill were:

Akshat ₹ 1,66,000
Javed ₹ 66,000
Gaurav ₹ 1,41,000

After considering the adjustment for goodwill, Akshat’s share was determined to be ₹ 1,81,000. It was decided that this amount would be paid to Akshat’s executor immediately by the firm through a cheque, the amount being contributed by Javed and Gaurav in such a manner that their capitals would become proportionate to their new profit-sharing ratio.

You are required to pass journal entries to record:

  1. The adjustment for self-generated goodwill of the firm.
  2. Cash brought in by Javed and Gaurav to pay off Akshat’s executor.
  3. Payment made to Akshat’s executor.

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