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X, Y And Z Are Sharing Profits and Losses in the Ratio of 5 : 3 : 2. with Effect from 1st April, 2019, - Accountancy

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Question

X, Y and Z are sharing profits and losses in the ratio of 5 : 3 : 2. With effect from 1st April, 2019, they decide to share profits and losses equally. Calculate each partner's gain or sacrifice due to the change in ratio.

Numerical

Solution

Old Ratio (X, Y and Z) = 5 : 3 : 2

New Ratio (X, Y and Z) = 1 : 1 : 1

Sacrificing (or Gaining) Ratio = Old Ratio − New Ratio

X's share = `5/10 - 1/3 = (15-10)/30 = 5/30` (sacrifice)

Y's share = `3/10 - 1/3 = (9-10)/30 = (-1)/30` (gain)

Z's share = `2/10 - 1/3 = (6-10)/30 = (-4)/30` (gain)

∴ Y’s Gain = 1/30

Z’s Gain = 4/30

X’s Sacrifice = 5/30

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Retirement and Death of a Partner - Calculation of New Profit Sharing Ratio
  Is there an error in this question or solution?
Chapter 4: Change in Profit-Sharing Ratio Among the Existing Partners - Exercises [Page 37]

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TS Grewal Accountancy - Double Entry Book Keeping Volume 1 [English] Class 12
Chapter 4 Change in Profit-Sharing Ratio Among the Existing Partners
Exercises | Q 3 | Page 37

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:

(a) Paresh's share in the profits of the firm for the year 2016-17 was Rs. 20,000.

(b) Goodwill of the firm was valued at Rs. 24,000.

(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.

You are required to prepare:

(i) Paresh's Capital Account.

(ii) Paresh's Loan Account till it is finally closed.


Discuss the various methods of computing the share in profits in the event of death of a partner.


From the following particulars, calculate new profit-sharing ratio of the partners:
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(b) P, Q and R were partners sharing profits in the ratio of 5 : 4 : 1. P retires from the firm.


Hanny, Pammy and Sunny are partners sharing profits in the ratio of 3 : 2 : 1. Goodwill is appearing in the books at a value of ​₹ 60,000. Pammy retires and at the time of Pammy's retirement, goodwill is valued at ₹ 84,000. Hanny and Sunny decided to share future profits in the ratio of 2 : 1. Record the necessary Journal entries. 


X, Y and Z are partners sharing profits and losses in the ratio of 5 : 3 : 2. Z retired and on the date of his retirement, following adjustments were agreed upon:
(a) The value of Furniture is to be increased by ₹ 12,000.
(b) The value of stock to be decreased by ₹ 10,000.
(c) Machinery of the book value of ₹ 50,000 is to be depreciated by 10%.
(d) A Provision for Doubtful Debts @ 5% is to be created on debtors of book value of ₹ 40,000.
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Pass necessary Journal entries.


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. 


Pankaj, Naresh and Saurabh are partners sharing profits in the ratio of 3 : 2 : 1. On 1st April, 2019, Naresh retired on that date, Balance Sheet of the firm was as follows:
 

Liabilities

Amount

(₹)

Assets

Amount

(₹)

General Reserve

12,000

Bank 7,600
Sundry Creditors

15,000

Debtors

6,000

 

Bills Payable

12,000

Less: Provision for Doubtful Debts

400

5,600

Outstanding Salary 2,200 Stock   9,000
Provision for Legal Damages 6,000 Furniture   41,000
Capital A/cs:   Premises   80,000
Pankaj

46,000

 

   
Naresh 30,000      
Saurabh

20,000

96,000

   
 

1,43,200

 

1,43,200

 
Additional Information:
(a) Premises have appreciated by 20%, stock depreciated by 10% and provision for doubtful debts was to be made 5% on debtors. Further, provision for legal damages is to be made for ₹ 1,200 and furniture to be brought up to ₹ 45,000. 
(b) Goodwill of the firm be valued at ₹ 42,000.
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Give the necessary Ledger Accounts and Balance Sheet of the firm after Naresh's retirement.


X, Y and Z are partners sharing profits in the ratio of 4 : 3 : 2. Their Balance Sheet as at 31st March, 2019 stood as follows:
 

Liabilities

Amount

(₹)

Assets

Amount

(₹)

Creditors

24,140

Cash at Bank 3,300
Capital A/cs:

 

Sundry Debtors

3,045

 

 X 12,000

 

Less: Provision for Doubtful Debts

105

2,940

 Y

9,000

 

Stock 4,800
 Z 6,000 27,000 Plant and Machinery 5,100
   

 

Land and Building 15,000
 

 

 

Y's Loan

20,000

 

51,140

 

51,140

 
Y retired on 1st April, 2019 after giving due notice. Following adjustments in the books of the firm were agreed:
(a) Land and Building be appreciated by 10%.
(b) Provision for Doubtful Debts is no longer necessary since all the debtors are good.
(c) Stock be appreciated by 20%.
(d) Adjustment be made in the accounts to rectify a mistake previously committed whereby Y was credited in excess by ₹ 810, while X and Z were debited in excess of ₹ 420 and ₹ 390 respectively.
(e) Goodwill of the firm be valued at ₹ 5,400 and Y's share of the same be adjusted to that of X and Z who were going to share in the ratio of 2 : 1.
(f) It was decide by X and Y to settle Y's account immediately on his retirement.
Prepare: (i) Revaluation Account; (ii) Partner's Capital Accounts and (iii) Balance Sheet of the firm after Y's retirement.


A, B and C are partners sharing profits and losses in the ratio of 4 : 3 : 3. Their Balance Sheet as at 31st March, 2019 is:

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
Capital A/cs:   Stock 20,000
A 32,000

 

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


On 1st April, 2019, B retired from the firm on the following terms:
(a) Goodwill of the firm is to be valued at ₹ 14,000.
(b) Stock, Land and Building are to be appreciated by 10%.
(c) Plant and Machinery and Computer Printer are to be reduced by 10%.
(d) Sundry Debtors are considered to be good.
(e) There is a liability of ₹ 2,000 for the payment of outstanding salary to the employees of the firm. This liability was not provided in the Balance Sheet but the same is to be recorded now.
(f) Amount payable to B is to be transferred to his Loan Account.
Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of A and C after B's retirement.


Following is the Balance Sheet of X, Y and Z as at 31st March, 2019. They shared profits in the ratio of 3 : 3 : 2:
 

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
Capital A/cs:   Fixed Assets   3,00,000
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

 
 On 1st April, 2019, Y decided to retire from the firm on the following terms:
(a) Stock to be reduced by ₹ 12,000.
(b) Advertisement Suspense Account to be written off. 
(c) Provision for Doubtful Debts to be increased to ₹ 6,000.
(d) Fixed Assets be appreciated by 10%.
(e) Goodwill of the firm, valued at ₹ 80,000 and the amount due to the retiring partners be adjusted in X's and Z's Capital Accounts.
Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet to give effect to the above.


On 31st March, 2019, the Balance Sheet of A, B and C who were sharing profits and losses in proportion to their capitals stood as:

Liabilities

Amount

(₹)

Assets

Amount

(₹)

Creditors

10,800

Cash at Bank 13,000
Bills Payable

5,000

Debtors

10,000

 

Capital A/cs:

 

Less: Provision for Doubtful Debts

200

9,800

A 45,000   Stock 9,000
B

30,000

 

Machinery 24,000
C

15,000

90,000

Freehold Premises

50,000

 

1,05,800

 

1,05,800


B retired and following adjustments were agreed to determine the amount payable to B:
(a) Out of the amount of insurance premium debited to Profit and Loss Account, ₹ 1,000 be carried forward as prepaid Insurance.
(b) Freehold Premises be appreciated by 10%.
(c) Provision for Doubtful Debts is brought up to 5% on Debtors.
(d) Machinery be reduced by 5%.
(e) Liability for Workmen Compensation to the extent of ₹ 1,500 would be created.
(f) Goodwill of the firm be fixed at ₹ 18,000 and B's share of the same be adjusted into the accounts of A and C who will share future profits in the ratio of 3/4th and 1/4th.
(g) Total capital of the firm as newly constituted be fixed at ₹ 60,000 between A and C in the proportion of 3/4th and 1/4th after passing entries in their accounts for adjustments, i.e., actual cash to be paid or to be brought in by continuing partners as the case may be.
(h) B be paid ₹ 5,000 in cash and the balance be transferred to his Loan Account.
Prepare Capital Accounts of Partners and the Balance Sheet of the firm of A and C. 


Balance Sheet of X, Y and Z who shared profits in the ratio of 5 : 3 : 2, as on 31st March, 2019 was as follows:

Liabilities Assets
Sundry Creditors 39,750 Bank (Minimum Balance) 15,000
Employees' Provident Fund 5,250 Debtors 97,500
Workmen Compensation Reserve 22,500 Stock 82,500
Capital A/cs:   Fixed Assets 1,87,500
1,65,000      
Y 84,000      
Z 66,000 3,15,000    
  3,82,500   3,82,500

    
Y retired on 1st April, 2019 and it was agreed that:
(i) Goodwill of the firm is valued at ₹ 1,12,500 and Y's share of it be adjusted into the accounts of X and Z who are going to share future profits in the ratio of 3 : 2.
(ii) Fixed Assets be appreciated by 20%.
(iii) Stock be reduced to ₹ 75,000.
(iv) Y be paid amount brought in by X and Z so as to make their capitals proportionate to their new profit-sharing ratio.
Prepare Revaluation Account, Capital Accounts of all partners and the Balance Sheet of the New Firm.


X, Y and Z are partners sharing profits in the ratio of 5 : 3 : 2. Y retires on 1st April, 2019 from the firm, on which date capitals of X, Y and Z after all adjustments are ₹ 1,03,680, ₹ 87,840 and ₹ 26,880 respectively. The Cash and Bank Balance on that date was ₹ 9,600. Y is to be paid through amount brought in by X and Z in such a way as to make their capitals proportionate to their new profit-sharing ratio which will be X 3/5 and Z 2/5. Calculate the amount to be paid or to be brought in by the continuing partners assuming that a minimum Cash and Bank balance of ₹ 7,200 was to be maintained and pass the necessary Journal entries.


X, Y and Z were partners sharing profits and losses in the ratio of 3 : 2 : 1. Y died on 30th June, 2018. Profit from 1st April, 2018 to 30th June, 2018 was ₹ 3,60,000. X and Z decided to share the future profits in the ratio of 3 : 2 respectively with effect  from 1st July, 2018. Pass the necessary Journal entries to record Y's share of profit up to the date of death.


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.


Vikas, Gagan and Momita were partners in a firm sharing profits in the ratio of 2 : 2 : 1. The firm closes its books on 31st March every year. On 30th September, 2014 Momita died. According to the provisions of Partnership Deed the legal representatives of a deceased partner are entitled for the following in the event of his/her death:
(a) Capital as per the last Balance Sheet.
(b) Interest on capital at 6% per annum till the date of her death.
(c) Her share of profit to the date of death calculated on the basis of average profit of last four years.
(d) Her share of goodwill to be determined on the basis of three years' purchase of the average profit of last four years. The profits of last four years were:

Year 2010-11 2011-12 2012-13 2013-14
Profit (₹ ) 30,000 50,000 40,000 60,000
 

The balance in Momita's Capital Account on 31st March, 2014 was ₹ 60,000 and she had withdrawn ₹ 10,000 till date of her death. Interest on her drawings was ₹ 300.
Prepare Momita's Capital Account to be presented to her executors.


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


​Virad died on 1st October, 2013. It was agreed between his executors and the remaining partners that:
(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.


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.


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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. 


A and B are in partnership sharing profits and losses in the ratio of 5 : 3. C is admitted as a partner who pays ₹ 40,000 as capital and the necessary amount of goodwill which is valued at ₹ 60,000 for the firm. His share of profits will be 1/5th which he takes 1/10th from A and 1/10th from B.
Give Journal entries and also calculate future profit-sharing ratio of the partners.


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. 


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.


Find New Profit-sharing Ratio:
A and B are partners sharing profits and losses in the ratio of 3 : 2. They admit C for 1/5th share in the profit. C acquires 1/5th of his share from A and 4/5th share from B.


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.


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.


A and B are partners in a firm sharing profits in the ratio of 4 : 1. They decided to share future profits in the ratio of 3 : 2 w.e.f. 1st April, 2019. On that day, Profit and Loss Account showed a debit balance of ₹ 1,00,000. Pass Journal entry to give effect to the above.


X, Y and Z 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 'Workmen Compensation Reserve' of ₹ 1,20,000 at the time of change in profit-sharing ratio, when there is a claim of ₹ 80,000 against it.


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 . 


​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.


Choose the appropriate alternative from the given options:
Harit and Leela are partners in firm sharing profits and losses in the ratio of 2 : 3. Yash was admitted as a new partner for 1/5th share in the profits of the firm. Yash acquires his share from Leela. The new profit sharing ratio of Harit, Leela, and Yash will be :


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.


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 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:


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