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Calculate New Profit-sharing Ratio. - Accountancy

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Question

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.

Sum

Solution

Old Profit Sharing Ratio amongst Partners (X and Y) is 3 : 2
Z is admitted for `1/4`th Share in Profits
Sacrificing Ratio of X and Y is 2 : 1

Z acquired = `2/3 xx 1/4 = 2/12`               - (From X)

Z acquired = `1/3 xx 1/4 = 1/12`               - (From Y)

New Ratio = Old Ratio - Sacrificing Ratio

X's new share = `3/5 - 2/12 = [ 36 - 10 ]/60 = 26/60`

Y's new share = `2/5 - 1/12 = [ 24 - 5 ]/60 = 19/60`

Z's share = `1/4 = 15/60`

∴ New Ratio = 26 : 19 : 15

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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 6 | Page 85

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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%.
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​Prepare Revaluation Account, Capital Accounts of the partners and the Balance Sheet of the reconstituted firm.  


X, Y and Z were in partnership sharing profits and losses in the proportions of 3 : 2 : 1. On 1st April, 2019, Y retired from the firm. On that date, their Balance Sheet was:

Liabilities Amount
(₹)
Assets Amount
(₹)
Trade Creditors 30,000 Cash in Hand 15,000
Bills Payable 45,000 Cash at Bank 75,000
Expenses Owing 45,000 Debtors 1,50,000
General Reserve 1,35,000 Stock 1,20,000
Capital A/cs:      Factory Premises          2,25,000

X

1,50,000   Machinery 80,000

Y

1,50,000   Loose Tools 40,000

Z

1,50,000 4,50,000    
  7,05,000   7,05,000

   
The terms were:
(a) Goodwill of the firm was valued at ₹ 1,35,000 and adjustment in this respect was to be made in the continuing Partners' Capital Accounts without raising Goodwill Account.
(b) Expenses Owing to be brought down to ₹ 37,500.
(c) Machinery and Loose Tools are to be valued @ 10% less than their book value.
(d) Factory Premises are to be revalued at ₹ 2,43,000.
Show Revaluation Account, Partners' Capital Accounts and prepare the Balance Sheet of the firm after the retirement of Y.


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.


J, H and K were partners in a firm sharing profits in the ratio of 5 : 3 : 2. On 31st March, 2015, their Balance Sheet was as follows:
 

Liabilities

Amount

(₹)

Assets

Amount

(₹)

Creditors

42,000

Land and Building 1,24,000
Investment Fluctuation Fund 20,000 Motor Vans 40,000
Profit and Loss Account 80,000 Investments 38,000
Capital A/cs: J 1,00,000   Machinery   24,000
                     H 80,000   Stock

 

30,000

                     K 40,000

2,20,000

Debtors 80,000

 

      Less: Provision

6,000

74,000

 

 

 

Cash

32,000

 

3,62,000

 

3,62,000


On the above date, H retired and J and K agreed to continue the business on the following terms:
(i) Goodwill of the firm was valued at ₹ 1,02,000.
(ii) There was a claim of ₹ 8,000 for workmen's compensation.
(iii) Provision for bad debts was to be reduced by ₹ 2,000. 
(iv) H will be paid ₹ 14,000 in cash and balance will be transferred in his Loan Account which will be paid in four equal yearly instalments together with interest @ 10% p.a.
(v) The new profit-sharing ratio between J and K will be 3 : 2 and their capitals will be in their new profit-sharing ratio. The capital adjustments will be done by opening Current Accounts.
Prepare Revaluation Account, Partners' Capital Accounts and Balance Sheet of the new firm.


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.


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.


P, R and S are in partnership sharing profits 4/8, 3/8 and 1/8 respectively. It is provided in the Partnership Deed that on the death of any partner his share of goodwill is to be valued at one-half of the net profit credited to his account during the last four completed years.
R died on 1st January, 2018. The firm's profits for the last four years ended 31st December, were as: 
2014 − ₹ 1,20,000; 2015 − ₹ 80,000; 2016 − ₹ 40,000; 2017 − ₹ 80,000.
(a) Determine the amount that should be credited to R in respect of his share of Goodwill.
(b) Pass Journal entry without raising Goodwill Account for its adjustment.


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.


X, Y, and Z were partners in a firm sharing profits in the ratio of 4 : 3 : 1. The firm closes its books on 31st March every year. On 1st February, 2020, Y died and it was decided that the new profit-sharing ratio between X and Z will be equal. Partnership Deed provided for the following on the death of a partner:
(a) His share of goodwill be calculated on the basis of half of the profits credited to his account during the previous four completed years. The firm's profits for the last four years were:

Year 2015-16 2016-17 2017-18 2018-19
Profit (₹)  1,50,000 1,00,000 50,000
1,00,000

(b) His share of profit in the year of his death was to be computed on the basis of average profit of past two years.
Pass necessary Journal entries relating to goodwill and profit to be transferred to Y's Capital Account.


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.


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.


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.


Find New Profit-sharing Ratio:
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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.


A, B and C are partners sharing profits and losses in the ratio of 5 : 4 : 1. Calculate new profit-sharing ratio, sacrificing ratio and gaining ratio in each of the following cases:
Case 1. C acquires 1/5th share from A.
Case 2. C acquires 1/5th share equally form A and B.
Case 3. A, B and C will share future profits and losses equally.
Case 4. C acquires 1/10th share of A and 1/2 share of B.


A, B and C shared profits and losses in the ratio of 3 : 2 : 1 respectively. With effect from 1st April, 2019, they agreed to share profits equally. The goodwill of the firm was valued at ₹ 18,000. Pass necessary Journal entries when: (a) Goodwill is adjusted through Partners' Capital Accounts; and (b) Goodwill is raised and written off.


Give Journal entries to record the following arrangements in the books of the firm:
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   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 . 


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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.


A, B and C are sharing profits and losses in the ratio of 2 : 2 : 1. They decided to share profit w.e.f. 1st April, 2019 in the ratio of 5 : 3 : 2. They also decided not to change the values of assets and liabilities in the books of account. The book values and revised values of assets and liabilities as on the date of change were as follows:​

  Book values (₹)  Revised values (₹)
Machinery 2,50,000 3,00,000
Computers 2,00,000 1,75,000
Sundry Creditors 90,000 75,000
Outstanding Expenses 15,000 25,000

Pass an adjustment entry.


X, Y and Z are partners in a firm sharing profits and losses as 5 : 4 : 3. Their Balance Sheet as at 31st March, 2019 was:

Liabilities Amount
​(₹)
Assets Amount
​(₹)
Sundry Creditors 40,000 Cash at Bank 40,000
Outstanding Expenses 15,000 Sundry Debtors 2,10,000
General Reserve 75,000 Stock 3,00,000
Capital A/cs:   Furniture 60,000
 X  4,00,000   Plant and Machinery 4,20,000
 Y 3,00,000      
 Z 2,00,000 9,00,000    
  10,30,000   10,30,000


From 1st April, 2019, they agree to alter their profit-sharing ratio as 4 : 3 : 2. It is also decided that:
(a) Furniture be taken at 80% of its value.
(b) Stock be appreciated by 20%.
(c) Plant and Machinery be valued at ₹ 4,00,000.
(d) Outstanding Expenses be increased by ₹ 13,000.
Partners agreed that altered values are not to be recorded in the books and they also do not want to distribute the General Reserve.
You are required to pass a single Journal entry to give effect to the above. Also, prepare Balance Sheet of the new firm.


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.


Suresh, Ramesh, Mahesh and Ganesh  were partners in a firm sharing profits in the ratio of 2 : 2 : 3 : 3. On 1st April, 2016, their Balance Sheet was as follows:

 

BALANCE SHEET OF SURESH, RAMESH, MAHESH AND Ganesh

as on 1st April, 2016

Liabilities Amount
(₹)
Assets Amount
(₹)
Capital A/cs:   Fixed Assets 6,00,000
 Suresh 1,00,000   Current Assets 3,45,000
 Ramesh     1,50,000      
 Mahesh 2,00,000      
 Ganesh   2,50,000 7,00,000    
Sundry Creditors   1,70,000    
Workmen Compensation Reserve   75,000    
    9,45,000   9,45,000

From the above date, the partners decided to share the future profits equally. For this purpose the goodwill of the firm was valued at ₹ 90,000. It was also agreed that:
(a) Claim against Workmen Compensation Reserve will be estimated at ₹ 1,00,000 and fixed assets will be depreciated by 10%.
(b) The Capitals of the partners will be adjusted according to the new profit-sharing ratio. For this, necessary cash will be brought or paid by the partners as the case may be.
Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of the reconstituted firm.

 


A, B, C, D are in partnership sharing profits and losses in the ratio of 9 : 6 : 5 : 5. E joins the partnership for 20% share. A. B, C and D would in future share profits among themselves as `3/10 : 4/10 : 2/10 : 1/10`. The new profit sharing ratio will be:


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 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?


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