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Calculate New Profit-sharing Ratio and Sacrificing Ratio. - Accountancy

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Question

Kabir and Farid are partners in a firm sharing profits and losses in the ratio of 7 : 3. Kabir surrenders 2/10th from his share and Farid surrenders 1/10th from his share in favour of Jyoti; the new partner. Calculate new profit-sharing ratio and sacrificing ratio.

Sum

Solution

Calculation of New Ratio : 
Old Ratio of Kabir and Farid 7 : 3
Kabir sacrifices his share of profit in favour of Jyoti = `2/10`

Farid sacrifices his share of profit in favour of Jyoti = `1/10`

Jyoti's Share = `2/10 + 1/10 = 3/10`
New Ratio = Old Share − Share Sacrificed

Kabir's New Share = `7/10 - 2/10 = 5/10`

Farid New Share = `3/10 - 1/10 = 2/10`

New Profit Sharing Ratio = 5 : 2 : 3

Calculation of Sacrificing Ratio
Since, Kabir and Farid are sacrificing 2/10 share and 1/10 share respectively, therefore the sacrificing ratio becomes 2 : 1

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Retirement and Death of a Partner - Calculation of New Profit Sharing Ratio
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Chapter 5: Admission of a Partner - Exercises [Page 86]

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TS Grewal Accountancy - Double Entry Book Keeping Volume 1 [English] Class 12
Chapter 5 Admission of a Partner
Exercises | Q 8 | Page 86

RELATED QUESTIONS

Harish, Paresh and Mahesh were three partners as sharing profits and losses in the ratio of 5:4:1. Paresh retired on 31st March, 2017. His capital on 1st April, 2016, was Rs. 80,000. During the year 2016-17, he made drawings of Rs. 5,000. He was to be charged interest on drawings of ` 100. The partnership deed provides that on the retirement of a partner, he will be entitled to:

(i) His share of capital.

(ii) Interest on capital @ 10% per annum.

(iii) His share of profit for the year of his retirement.

(iv) His share of goodwill in the firm.

(v) His share in the profit/loss on revaluation of assets and liabilities.

Additional information:

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(c) The firm suffered a loss of Rs.12,000 on the revaluation of assets and liabilities.

(d) It was decided to transfer the amount due to Paresh to his loan account bearing interest @ 6% per annum. The loan was to be repaid in two equal annual instalments, the first instalment to be paid on 31st March, 2018.

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Liabilities

Amount

(₹)

Assets

Amount

(₹)

Creditors

7,000

Land and Building 36,000
Bills Payable 3,000 Plant and Machinery 28,000
Reserves 20,000 Computer Printer 8,000
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Sundry Debtors

14,000

 

B 24,000

 

Less: Provision for Doubtful Debts

2,000

12,000

C 20,000 76,000 Bank 2,000
 

1,06,000

 

1,06,000


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(b) Stock, Land and Building are to be appreciated by 10%.
(c) Plant and Machinery and Computer Printer are to be reduced by 10%.
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(f) Amount payable to B is to be transferred to his Loan Account.
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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

 
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(ii) Depreciation of 10% was to be provided on Machinery.
(iii) Patents were to be reduced by 20%. 
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Liabilities Assets
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A 11,00,000   Investments 4,00,000
B 11,40,000   Stock 6,00,000
C 7,60,000 30,00,000 Debtors 10,00,000
Workmen Compensation Reserve 10,00,000 Cash and Bank 6,00,000
Creditors 2,00,000    
  Employees' Provident Fund 2,00,000    
  44,00,000   44,00,000


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(b) Investments to be valued at ₹ 3,00,000.
(c) Stock be taken at ₹ 8,00,000.
(d) Goodwill of the firm be valued at two years' purchase of the average profit of the past five years.
(e) C's share of profits up to the date of retirement be calculated on the basis of average profit of the preceding three years.
The profits of the preceding five years were as under:

Year 2013-14 2014-15 2015-16 2016-17 2017-18
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(f) Amount payable to C to be transferred to his Loan Account carrying interest @ 10% p.a.
Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet as at 30th June, 2018.


X, Y and Z were partners in a firm sharing profit in 3 : 2 : 1. The firm closes its books on 31st March every year. Y died on 30th June, 2018. On Y's death goodwill of the firm was valued at ₹ 60,000. Y's share in the profit of the firm till the date of his death was to be calculated on the basis of previous year's profit which was ₹ 1,50,000.
Pass necessary Journal entries for goodwill and Y's share of profit at the time of his death.


On 31st March, 2014, the Balance Sheet of Pooja, Qureshi and Ross, who were partners in a firm was as under:

Liabilities

Amount (₹)

Assets

Amount (₹)

Sundry Creditors

2,50,000

Building

2,60,000

Reserve Fund

2,00,000

Investment

1,10,000

Capital A/cs:      Qureshi's Loan 1,00,000
Pooja 1,50,000   Debtors 1,50,000
Qureshi 1,00,000 3,50,000 Stock 1,20,000
Ross 1,00,000   Cash 60,000
 

8,00,000

 

8,00,000

   
Qureshi died on 1st July, 2014. The profit-sharing ratio of the partners was 2 : 1 : 1. On the death of a partner, the partnership deed provided for the following:
(i) His share in the profits of the firm till the date of his death will be calculated on the basis of average profits of last three completed years.
(ii) Goodwill of the firm will be calculated on the basis of total profit of last two years.
(iii) Interest on loan given by the firm to a partner will be charged at the rate of 6% p.a. or ₹ 4,000, whichever is more.
(iv) Profits for the last three years were ₹ 45,000; ₹ 48,000 and ₹ 33,000.
Prepare Qureshi's Capital Account to be rendered to his executors.


Iqbal and Kapoor are in partnership sharing profits and losses in 3 : 2. Kapoor died three months after the date of the last Balance Sheet. According to the Partnership Deed, the legal heir is entitled to the following:
(a) His capital as per the last Balance Sheet.
(b) Interest on above capital @ 3% p.a. till the date of death.
(c) His share of profits till the date of death calculated on the basis of last year's profits.
His drawings are to bear interest at an average rate of 2% on the amount irrespective of the period.
The net profits for the last three years, after charging insurance premium, were ₹ 20,000; ₹ 25,000 and ₹ 30,000 respectively. Kapoor's capital as per Balance Sheet was ₹ 40,000 and his drawings till the date of death were ₹ 5,000.
Draw Kapoor's Capital Account to be rendered to his representatives.


​A, B and C were partners in a firm sharing profits in the ratio of 5 : 3 : 2. On 31st March, 2018, their Balance Sheet was as follows:​
 

Liabilities

Assets

Creditors

11,000

Building

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


A died on 1st October, 2018. It was agreed among his executors and the remaining partners that:
(i) Goodwill to be valued at 212 years' purchase of the average profit of the previous 4 years, which were 2014-15: ₹ 13,000; 2015-16: ₹ 12,000; 2016-17: ₹ 20,000 and 2017-18: ₹ 15,000.
(ii) Patents be valued at ₹ 8,000; Machinery at ₹ 28,000; and Building at ₹ 25,000.
(iii) Profit for the year 2017-18 be taken as having accrued at the same rate as that of the previous year.
(iv) Interest on capital be provided @ 10% p.a. 
(v) Half of the amount due to A to be paid immediately to the executors and the balance transferred to his (Executors') Loan Account.
Prepare A's Capital Account and A's Executors' Account as on 1st October, 2018.


Babita, Chetan and David are partners in a firm sharing profits in the ratio of 2 : 1 : 1 respectively. Firm closes its accounts on 31st March every year. Chetan died on 30th September, 2012. There was a balance of ₹ 1,25,000 in Chetan's Capital Account in the beginning of the year. In the event of death of any partner, the Partnership Deed provides for the following:
(a) Interest on capital will be calculated at the rate of 6% p.a.
(b) The executor of deceased partner shall be paid ₹ 24,000 for his share of goodwill.
(c) His share of Reserve Fund of ₹ 12,000, shall be paid to his executor.
(d) His share of profit till the date of death will be calculated on the basis of sales. It is also specified that the sales during the year 2011-12 were ₹ 4,00,000. The sales from 1st April, 2012 to 30th September, 2012 were ₹ 1,20,000. The profit of the firm for the year ending 31st March, 2012 was ₹ 2,00,000.
Prepare Chetan's Capital Account to be presented to his executor.


XY and Z were partners in a firm sharing profits and losses in the ratio of 3 : 2 : 1. Z died on 30th June, 2018. The Balance Sheet of the firm as at that 31st March, 2018 is as follows:
 

BALANCE SHEET as at 31st March, 2018

Liabilities Amount
(₹)
Assets Amount
​(₹)
X's Capital A/c 2,40,000  

Machinery

2,40,000
Y's Capital A/c 1,60,000   Furniture 1,50,000

Z's Capital A/c

80,000 4,80,000 Investments 40,000
X's Current A/c 16,000 Stock 64,000
Y's Current A/c 5,000 Sundry Debtors                      50,000
Reserve 60,000 Bills Receivable 22,000
Bills Payable 34,000 Cash at Bank 37,000
Sundry Creditors 40,000 Cash in Hand 22,000
    Z's Current A/c 10,000
  6,35,000   6,35,000

 ​
The following decisions were taken by the remaining partners:
(a) A Provision for Doubtful Debts is to be raised at 5% on Debtors.
(b) While Machinery to be decreased by 10%, Furniture and Stock are to be appreciated by 5% and 10% respectively.
(c) Advertising Expenses ₹ 4,200 are to be carried forward to the next accounting year and, therefore, it is to be adjusted through the Revaluation Account.
(d) Goodwill of the firm is valued at ₹ 60,000.
(e) X and Y are to share profits and losses equally in future.
(f) Profit for the year ended 31st March, 2018 was ₹ 8,16,000 and Z's share of profit till the date of death is to be determined on the basis of profit for the year ended 31st March, 2018.
(g) The Fixed Capital Method is to be converted into the Fluctuating Capital Method by transferring the Current Account balances to the respective Partners' Capital Accounts.
Prepare the Revaluation Account, Partners' Capital Accounts and prepare C's Executors's Account to show that C's Executors were paid in two half-yearly instalments plus interest of 10% p.a. on the
unpaid balance. The first instalment was paid on 31st December, 2018.


A, B and C were partners in a firm sharing profits in the ratio of 3 : 2 : 1. They admitted D as a new partner for 1/8th share in the profits, which he acquired 1/16th from B and 1/16th from C. Calculate the new profit-sharing ratio of A, B, C and D. 


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, Y and Z were partners in a firm sharing profits in the ratio of 2 : 2 : 1. On 31st March, 2018, their Balance Sheet was as follows:

Liabilities

Amount

(₹)

Assets

Amount

(₹)

Trade Creditors

1,20,000

Cash at Bank

1,80,000

Bills Payable

80,000

Stock

1,40,000

General Reserve

60,000

Sundry Debtors 80,000

Capital A/cs:

  Building 3,00,000
  X

7,00,000

  Advance to Y 7,00,000
  Y 7,00,000   Profit and Loss A/c 3,20,000
  Z

60,000

14,60,000

   
 

17,20,000

 

17,20,000

   
Y died on 30th June, 2018. The Partnership Deed provided for the following on the death of a partner:
(i) Goodwill of the business was to be calculated on the basis of 2 times the average profit of the past 5 years. Profits for the years ended 31st March, 2018, 31st March, 2017, 31st March, 2016, 31st March, 2015 and 31st March, 2014 were ₹ 3,20,000 (Loss); ₹ 1,00,000; ₹ 1,60,000; ₹ 2,20,000 and ₹ 4,40,000 respectively.
(ii) Y's share of profit or loss from 1st April, 2018 till his death was to be calculated on the basis of the profit or loss for the year ended 31st March, 2018.
You are required to calculate the following:
(a) Goodwill of the firm and Y's share of goodwill at the time of his death.
(b) Y's share in the profit or loss of the firm till the date of his death.
(c) Prepare Y's Capital Account at the time of his death to be presented to his executors. 


Find New Profit-sharing Ratio:
A and B are partners. They admit C for 1/4th share. In future, the ratio between A and B would be 2 : 1.


X and Y were partners sharing profits in the ratio of 3 : 2. They admitted P and Q as new partners. X surrendered 1/3rd of his share in favour of P and Y surrendered 1/4th of his share in favour of Q. Calculate new profit-sharing ratio of X, Y, P and Q.


X, Y and Z are partners sharing profits and losses in the ratio of 5 : 3 : 2. From 1st April, 2018, they decided to share profits and losses equally. The Partnership Deed provides that in the event of any change in the profit-sharing ratio, the goodwill should be valued at two years' purchase of the average profit of the preceding five years. The profits and losses of the preceding years ended 31st March, are:

 Year  2013-14 2014-15 2015-16  2016-17 2017-18
 Profits (₹)    70,000  85,000  45,000  35,000 10,000 (Loss)

You are required to calculate goodwill and pass journal entry.


X, Y and Z are partners sharing profits and losses in the ratio of 5 : 3 : 2, decided to share future profits and losses equally with effect from 1st April, 2019. On that date, the goodwill appeared in the books at ₹ 12,000. But it was revalued at ₹ 30,000. Pass Journal entries assuming that goodwill will not appear in the books of account.


Jai and Raj are partners sharing profits in the ratio of 3 : 2. With effect from 1st April, 2019, they decided to share profits equally. Goodwill appeared in the books at ₹ 25,000. As on 1st April, 2019, it was valued at ₹ 1,00,000. They decided to carry goodwill in the books of the firm.
Pass the Journal entry giving effect to the above.


A and B are partners in a firm sharing profits in the ratio of 2 : 1. They decided with effect from 1st April, 2018, that they would share profits in the ratio of 3 : 2. But, this decision was taken after the profit for the year ended 31st March, 2019 of ₹ 90,000 was distributed in the old ratio.
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Pass necessary Journal entries and prepare Capital Accounts. 


​A, B and C are partners sharing profits and losses in the ratio of 5 : 3 : 2. Their Balance Sheet as at 31st March, 2019 stood as follows:

Liabilities

Amount

(₹)

Assets

Amount

​(₹)

Capital A/cs:   Land and Building 3,50,000
 A 2,50,000   Machinery 2,40,000
 B 2,50,000   Computers 70,000
 C 2,00,000 7,00,000 Investments (Market value ₹ 90,000) 1,00,000
General Reserve   60,000 Sundry Debtors 50,000
Investments Fluctuation Reserve   30,000 Cash in Hand 10,000
Sundry Creditors   90,000 Cash at Bank 55,000
      Advertisement Suspense 5,000
    8,80,000   8,80,000


They decided to share profits equally w.e.f. 1st April, 2019. They also agreed that:
(i) Value of Land and Building be decreased by 5%.
(ii) Value of Machinery be increased by 5%.
(iii) A Provision for Doubtful Debts be created @ 5% on Sundry Debtors.
(iv) A Motor Cycle valued at ₹ 20,000 was unrecorded and is now to be recorded in the books.
(v) Out of Sundry Creditors, ₹ 10,000 is not payable.
(vi) Goodwill is to be valued at 2 years' purchase of last 3 years profits. Profits being for 2018-19 − ₹ 50,000 (Loss); 2017-18 − ₹ 2,50,000 and 2016-17 − ₹ 2,50,000.
(vii) C was to carry out the work for reconstituting the firm at a remuneration (including expenses) of ₹ 5,000. Expenses came to ₹ 3,000.
Pass Journal entries and prepare Revaluation Account.


Balance Sheet of X and Y, who share profits and losses as 5 : 3, as at 1st April, 2019 is:

Liabilities Amount
(₹)
Assets Amount
(₹)
X's Capital 52,000 Goodwill 8,000
Y's Capital 54,000 Machinery 38,000
General Reserve 4,800 Furniture 15,000
Sundry Creditors 5,000 Sundry Debtors 33,000
Employees' Provident Fund 1,000 Stock 7,000
Workmen Compensation Reserve 10,000 Bank 25,000
    Advertisement Suspense A/c      800
  1,26,800   1,26,800


On the above date, they decided to change their profit-sharing ratio to 3 : 5 and agreed upon the following:
(a) Goodwill be valued on the basis of two years' purchase of the average profit of the last three years. Profits for the years ended 31st March, are: 2016-17 − ₹ 7,500; 2017-18 − ₹ 4,000; 2018-19 − ₹ 6,500.
(b) Machinery and Stock be revalued at ₹ 45,000 and ₹ 8,000 respectively.
(c) Claim on account of workmen compensation is ₹ 6,000.
Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of the new firm.


Ram, Mohan, Sohan and Hari were partners in a firm sharing profits in the ratio of 4 : 3 : 2 : 1. On 1st April, 2016, their Balance Sheet was as follows:

BALANCE SHEET OF RAM, MOHAN, SOHAN AND HARI

as on 1st April, 2016

Liabilities Assets
Capital A/cs:   Fixed Assets 9,00,000
 Ram 4,00,000   Current Assets 5,20,000
 Mohan     4,50,000      
 Sohan 2,50,000      
 Hari  2,00,000 13,00,000    
Workmen Compensation Reserve   1,20,000    
    14,20,000   14,20,000


From the above date, the partners decided to share the future profits in the ratio of 1 : 2 : 3 : 4. For this purpose the goodwill of the firm was valued at ₹ 1,80,000. The partners also agreed for the following:(a) The Claim for workmen compensation has been estimated at ₹ 1,50,000.
(b) Adjust the capitals of the partners according to the new profit-sharing ratio by opening Partners' Current Accounts.
Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of the reconstituted firm.


At the time of admission of a new partner, Which adjustments are required:


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?


Assertion (A): New Profit Sharing Ratio is the ratio in which old partners including the new partner, share the profits or losses of the firm.

Reason (R): When a new partner is admitted to the firm it is necessary to calculate the new profit sharing ratio with the help of the share agreed to forgo by the old partners.


A, B and C are partners sharing profits in the ratio of 4 : 3 : 2. B retires and his share was taken up by A and C in the ratio 3 : 2. New profit sharing ratio will be ______.


X, Y and Z were partners in a firm. The firm closes its books on 31st March every year. On 31st December 2021, X died. The partnership deed provided that the share of deceased partner in the profit of the firm till the date of his death will be calculated on the basis of last year's profit. The profit for the year ended 31.3.2021 was ₹ 6,00,000. Calculate X's share in the profit of the firm till the date of his death and pass the necessary journal entry for the same in the books of the firm. 


A, B, C and D were partners in a firm sharing profits in the ratio of 3 : 4 : 2 : 1. On 31.3.2022, C retired and his share was taken over equally by A and D. 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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