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Calculate New Profit-sharing Ratio. - Accountancy

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Question

A and B are partners sharing profits and losses in the proportion of 7 : 5. They agree to admit C, their manager, into partnership who is to get 1/6th share in the profits. He acquires this share as 1/24th from A and 1/8th from B. Calculate new profit-sharing ratio.

Sum

Solution

Old Ratio = A : B
                 = 7 : 5
C admits for `1/6` share of Profit

A sacrifices his share of profit in favour of C = `1/24`

B sacrifices his share of profit in favour of C = `1/8`

New Ratio = Old Ratio - Sacrificing Ratio

A's = `7/12 - 1/24 = 13/24`

B's = `5/12 - 1/8 = 7/24`

New Profit Sharing Ratio = A : B : C
                                        = `13/24 : 7/24 : 1/6`

                                        = `[ 13 : 7 : 4 ]/24`

                                        = 13 : 7 : 4

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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 85]

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TS Grewal Accountancy - Double Entry Book Keeping Volume 1 [English] Class 12
Chapter 5 Admission of a Partner
Exercises | Q 3 | Page 85

RELATED QUESTIONS

NarangSuri and Bajaj are partners in a firm sharing profits and losses in proportion of 1/2 , 1/6 and 1/3 respectively. The Balance Sheet on April 1, 2015 was as follows:

Books of Suri, Narang and Bajaj
Balance Sheet as on April 1, 2015

Liabilities

Amt (Rs.)

Assets

Amt
(Rs.)

Bills Payable

12,000

Freehold Premises

40,000

Sundry Creditors

18,000

Machinery

30,000

Reserves

12,000

Furniture

12,000

Capital Accounts:

 

Stock

22,000

Narang

30,000

 

Sundry Debtors

20,000

 

Suri

20,000

 

Less: Reserve

1,000  

19,000

Bajaj

28,000

88,000

for Bad Debt

 

 

 

 

Cash

7,000

 

1,30,000

 

1,30,000

Bajaj retires from the business 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 depreciated by 10% and 7% respectively.
c) Bad Debts reserve is to be increased to Rs 1,500.
d) Goodwill is valued at Rs 21,000 on Bajaj’s retirement.
e) The continuing partners have decided to adjust their capitals in their new profit sharing ratio after retirement of Bajaj. 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.


P and Q are partners sharing profits in 2:1 ratio. They admitted R into partnership giving him 1/5 share which he acquired from P and Q in 1:2 ratio. Calculate new profit sharing ratio?


A, B, and C were partners in a firm sharing profits in the ratio of 8 : 4 : 3. B retires and his share is taken up equally by A and C. Find the new profit-sharing ratio.


A, B and C are partners in a firm sharing profits and losses in the ratio of 4 : 3 : 2. B decides to retire from the firm. Calculate new profit-sharing ratio of A and C in the following circumstances:
(a) If B gives his share to A and C in the original ratio of A and C.
(b) If B gives his share to A and C in equal proportion.
(c) If B gives his share to A and C in the ratio of 3 : 1.
(d) If B gives his share to A only.


Aparna, Manisha and Sonia are partners sharing profits in the ratio of 3 : 2 : 1. Manisha retired and goodwill of the firm is valued at ₹ 1,80,000. Aparna and Sonia decided to share future profits in the ratio of 3 : 2. Pass necessary Journal entries.


A, B and C were partners in a firm sharing profits in the ratio of 6 : 5 : 4. Their capitals were A − ₹ 1,00,000; B − ₹ 80,000 and C − ₹ 60,000 respectively. On 1st April, 2009, A retired from the firm and the new profit sharing ratio between B and C was decided as 1 : 4. On A's retirement, the goodwill of the firm was valued at ₹ 1,80,000. Showing your calculations clearly, pass the necessary Journal entry for the treatment of goodwill on A's retirement.


Ram, Laxman and Bharat are partners sharing profits in the ratio of 3 : 2 : 1. Goodwill is appearing in the books at a value of ₹ 1,80,000. Laxman retires and at the time of his retirement, goodwill is valued at ₹ 2,52,000. Ram and Bharat decided to share future profits in the ratio of 2 : 1. The Profit for the first year after Laxman's retirement amount to ₹ 1,20,000. Give the necessary Journal entries to record goodwill  and to distribute the profit. Show your calculations clearly. 


Kanika, Disha and Kabir Were Partners Sharing Profits in the Ratio of 2 : 1 : 1. on 31st March, 2016, Their Balance Sheet Was as Under:

Liabilities Amount
(₹)
Assets Amount
(₹)

Trade creditors

53,000 Bank 60,000
Employees' Provident Fund 47,000 Debtors 60,000
Kanika's Capital 2,00,000 Stock 1,00,000
Disha's Capital 1,00,000 Fixed assets 2,40,000
Kabir's Capital 80,000 Profit and Loss A/c 20,000
  4,80,000   4,80,000

Kanika retired on 1st April, 2016. For this purpose, the following adjustments were agreed upon:
(a) Goodwill of the firm was valued at 2 years' purchase of average profits of three completed years preceding the date of retirement. The profits for the year:
      2013-14 were ₹ 1,00,000 and for 2014-15 were ₹ 1,30,000.
(b) Fixed Assets were to be increased to ₹ 3,00,000.
(c) Stock was to be valued at 120%.
(d) The amount payable to Kanika was transferred to her Loan Account.
​Prepare Revaluation Account, Capital Accounts of the partners and the Balance Sheet of the reconstituted firm.  


The Balance Sheet of X, Y and Z who were sharing profits in ratio of their capitals stood as follows at 31st March, 2019:
 

Liabilities

Amount

(₹)

Assets

Amount

(₹)

Sundry Creditors

13,800

Cash at Bank 11,000
Capital A/cs:   Sundry Debtors 10,000  
  X

45,000

 

Less: Provision for Doubtful Debts 200 9,800
  Y 30,000   Stock 16,000
  Z

15,000

90,000

Plant and Machinery

17,000

 

 

 

Land and Building

50,000

 

1,03,800

 

1,03,800


Y retired on 1st April, 2019 and the following terms:
(a) Out of the insurance premium debited to Profit and Loss Account, ₹ 1,500 to be carried forward as Prepaid Insurance.
(b) Provision for Doubtful Debts to be brought up to 5% of Sundry Debtors.
(c) Land and Building to be appreciated by 20%.
(d) A provision of ₹ 4,000 be made in respect of outstanding bills for repairs.
(e) Goodwill of the firm was determined at ₹ 21,600.
Y's share of goodwill be adjusted to that of X and Z who will share profits in future in the ratio of 3 : 1. 
Pass necessary Journal entries and give the Balance Sheet after Y's retirement.


N, S and G were partners in a firm sharing profits and losses in the ratio of 2 : 3 : 5. On 31st March, 2016 their Balance Sheet was as under:

Liabilities

Amount

(₹)

Assets

Amount

(₹)

Creditors

1,65,000

Cash 1,20,000
General Reserve 90,000  Debtors 1,35,000  
Capitals:    Less: Provision 15,000 1,20,000
 N 2,25,000   Stock 1,50,000
 S 3,75,000   Machinery 4,50,000
 G

4,50,000

10,50,000

Patents

90,000

      Building 3,00,000
 

 

 

Profit and Loss Account

75,000

 

13,05,000

 

13,05,000


G retired on the above date and it was agreed that:
(a) Debtors of ₹ 6,000 will be written off as bad debts and a provision of 5% on debtors for bad and doubtful debts will be maintained.
(b) Patents will be completely written off and stock, machinery and building will be depreciated by 5%. 
(c) An unrecorded creditor of ₹ 30,000 will be taken into account. 
(d) N and S will share the future profits in 2 : 3 ratio.
(e) Goodwill of the firm on G's retirement was valued at ₹ 90,000.
Pass necessary Journal entries for the above transactions in the books of the firm on G's retirement.


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. 


X, Y and Z are partners in a firm sharing profits in the ratio of 3 : 1 : 2. On 31st March, 2019, their Balance Sheet was:
 

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
Capital A/cs:   Stock 22,000
  X 30,000   Sundry Debtors

20,000

 

  Y 20,000     Less: Provision for Doubtful Debts

1,000

19,000

  Z 28,000

78,000

Cash

7,000

 

1,30,000

 

1,30,000

 
Z retired on 1st April, 2019 from the business 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 Z's retirement.
(e) Continuing partners to adjust their capitals in their new profit-sharing ratio after retirement of Z. 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.


A, B and C are partners sharing profits in the ratio of 5 : 3 : 2. Their Balance Sheet as on 31st March, 2018 is given below:

Liabilities Assets
Capital A/cs:   Building 18,00,000
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


C retires on 30th June, 2018 and it was mutually agreed that:
(a) Building be valued at ₹ 22,00,000.
(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
Profits (₹) 4,00,000 5,00,000 6,00,000 8,00,000 7,00,000

(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.


Kavita, Leena and Monica are partners in firm sharing profits in the ratio of 1 : 1 : 3 respectively. Their Capital Accounts showed the following balances on 31st March, 2012: Kavita ₹ 70,000; Leena ₹ 65,000 and Monica ₹ 2,10,000. Firm closes its accounts every year on 31st March. Kavita died on 30th September, 2012. 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 deceased partner's share in the goodwill of the firm will be calculated on the basis of 2 years' purchase of the average profit of last three years. The profits of the firm for the last three years were ₹ 90,000; ₹ 1,00,000 and ₹ 1,10,000 respectively.
(c) Her share in the Reserve Fund of the firm will be paid. The Reserve Fund of the firm was ₹ 60,000 at the time of Kavita's death.
(d) Her 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 ₹ 20,00,000. The sales from 1st April, 2012 to 30th September, 2012 were ₹ 4,00,000. The profit of the firm for the year ending 31st March, 2012 was ₹ 2,00,000.
Prepare Kavita's Capital Account to be presented to his legal representative.


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.


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.

 


X,Y and Z are partners sharing profits and losses in the ratio of 5 : 3 : 2. They admit A into partnership and give him 1/5th share of profits. Find the new profit-sharing ratio.


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
Capital A/cs:     Investment 6,000
 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:
X, Y and Z are partners in the ratio of 3 : 2 : 1. W joins the firm as a new partner for 1/6th share in profits. Z would retain his original share


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.


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, 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.


Give Journal entries to record the following arrangements in the books of the firm:
(a) B and C are partners sharing profits in the ratio of 3 : 2. D is admitted paying a premium (goodwill) of ₹ 2,000 for 1/4th share of the profits, shares shares of B and C remain as before.
(b) B and C are partners sharing profits in the ratio of 3 : 2. D is admitted paying a premium of ₹ 2,100 for 1/4th share of profits which he acquires 1/6th from B and 1/12th from C.


B and C are in partnership sharing profits and losses as 3 : 1. They admit D into the firm, D pays premium of ₹ 15,000 for 1/3rd share of the profits. As between themselves, B and C agree to share future profits and losses equally. Draft Journal entries showing appropriations of the premium money.


X, Y and Z share profits as 5 : 3 : 2. They decide to share their future profits as 4 : 3 : 3 with effect from 1st April, 2019. On this date the following revaluations have taken place:

   Book Values (₹) Revised Values (₹)
Investments  22,000 25,000
Plant and Machinery  25,000 20,000
Land and Building  40,000 50,000
Outstanding Expenses  5,600 6,000
Sundry Debtors  60,000 50,000
Trade Creditors  70,000 60,000

Pass necessary adjustment entry to be made because of the above changes in the values of assets and liabilities. However, old values will continue in the books . 


Ashish, Aakash and Amit are partners sharing profits and losses equally. The Balance Sheet as at 31st March, 2019 was as follows:

Liabilities

Amount
(₹)

Assets

Amount
(₹)

Sundry Creditors 75,000 Cash in Hand 24,000
General Reserve 90,000 Cash at Bank 1,40,000
Capital A/cs:   Sundry Debtors

80,000

  Ashish

3,00,000

  Stock 1,40,000
  Aakash 3,00,000   Land and Building 4,00,000
  Amit

2,75,000

8,75,000 Machinery 2,50,000
      Advertisement Suspense 6,000
    10,40,000   10,40,000


​The partners decided to share profits in the ratio of 2 : 2 : 1 w.e.f. 1st April, 2019. They also decided that:
(i) Value of stock to be reduced to ₹ 1,25,000.
(ii) Value of machinery to be decreased by 10%.
(iii) Land and Building to be appreciated by ₹ 62,000.
(iv) Provision for Doubtful Debts to be made @ 5% on Sundry Debtors.
(v) Aakash was to carry out reconstitution of the firm at a remuneration of ₹ 10,000. 
Pass necessary Journal entries to give effect to the above.


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:


P and S are partners sharing profits in the ratio of 3 : 2. R is admitted with `1/5`th share and he brings in ₹ 84,000 as his share of goodwill which is credited to the capital accounts of P and S respectively with ₹ 63,000 and ₹ 21,000. New profit sharing ratio will be:


On retirement/death of a partner, the remaining partner(s) who have gained due to change in profit sharing ratio should compensate the ______


How is the new profit sharing ratio mathematically stated?


At the time of retirement, the amount remaining in Investment Fluctuation Reserve after meeting the fall in the value of Investments is:


A, B and C are partners sharing profit in the ratio of 2 : 2 : 1. C retired. The new Profit Sharing ratio between A and B will be:


A, B and C are three partners sharing profit and loss in the ratio of 3:2:1. B retires from the firm. Suppose A and C purchase the share of retiring partners equally. What is the new profit sharing ratio?


Some adjustments are to be made at the time of the retiring partner.

(i) New profit sharing ratio of continuing partners

(ii) Accounting treatment of Goodwill

(iii) Sacrificing ratio of continuing partners

(iv) Accounting treatment of joint life policy.

Which of the above adjustments are to be done?


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.


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.


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