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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. - Accountancy

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प्रश्न

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.

योग

उत्तर

Old Ratio = X : Y : Z
                = 5 : 3 : 2
A is admitted for `1/5` share of profit
Let the combined share of profit for all partners after A's admission be = 1
Combined share of X,Y and Z after A's admission = 1 - A's share
= 1 - `1/5`
= `4/5`
New Ratio = Old Ratio × Combined share of X, Y and Z
X's = `5/10 xx 4/5 = 20/50`

Y's = `3/10 xx 4/5 = 12/50`

Z's = `2/10 xx 4/5 = 8/50`

New Profit Sharing Ratio = X : Y : Z : A

                                        = `20/50 : 12/50 : 8/50 : 1/5`

                                        = `[ 20 : 12 : 8 : 10]/50`

                                        = 10 : 6 : 4 : 5                 

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Retirement and Death of a Partner - Calculation of New Profit Sharing Ratio
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Admission of a Partner - Exercises [पृष्ठ ८५]

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टीएस ग्रेवाल Accountancy - Double Entry Book Keeping Volume 1 [English] Class 12
अध्याय 5 Admission of a Partner
Exercises | Q 1 | पृष्ठ ८५

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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
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Kabir's Capital 80,000 Profit and Loss A/c 20,000
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Kanika retired on 1st April, 2016. For this purpose, the following adjustments were agreed upon:
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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
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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

   
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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
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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


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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

 
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(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%.
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Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet to give effect to the above.


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Liabilities

Amount

(₹)

Assets

Amount

(₹)

Creditors

21,000

Cash at Bank 5,750
Workmen Compensation Reserve

12,000

Debtors

40,000

 

Investments Fluctuation Reserve

6,000

Less: Provision for Doubtful Debts

2,000

38,000

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X 68,000   Investment (Market Value ₹ 17,600) 15,000
Y

32,000

 

Patents 10,000
Z

21,000

1,21,000

Machinery

50,000

    Goodwill 6,000
    Advertisement Expenditure 5,250
 

1,60,000

 

1,60,000

 
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(b) Value of Patents is to be reduced by 20% and that of machinery to 90%.
(c) Provision for doubtful debts is to be created @ 6% on debtors.
(d) Z took over the investment at market value.
(e) Liability for Workmen Compensation to the extent of ₹ 750 is to be created.
(f) A liability of ₹ 4,000 included in creditors is not to be paid.
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Give necessary Journal entries for the treatment of goodwill, prepare Revaluation Account, Capital Accounts and the Balance Sheet of the new firm.


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Liabilities

Amount

(₹)

Assets

Amount

(₹)

Creditors

30,000

Cash in Hand 18,000
Bills Payable

16,000

Debtors

25,000

 

General Reserve

12,000

Less: Provision for Doubtful Debts

3,000

22,000

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 A

40,000

 

Furniture 30,000
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 C

30,000

1,10,000

Goodwill

10,000

 

1,68,000

 

1,68,000


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The Balance Sheet of X, Y and Z who were sharing profits in the ratio of 5 : 3 : 2 as at 31st March, 2019 is as follows:

Liabilities Assets
Creditors 50,000 Cash at Bank 40,000
Employees' Provident Fund 10,000 Sundry Debtors 1,00,000
Profit and Loss A/c 85,000 Stock 80,000
Capital A/cs:   Fixed Assets 60,000
40,000      
          Y 62,000      
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  2,80,000   2,80,000

    
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(b) Fixed Assets are to be depreciated to ₹ 57,500.
(c) Make a Provision for Doubtful Debts at 5% on Debtors.
(d) A liability for claim, included in Creditors for ₹ 10,000, is settled at ₹ 8,000.
The amount to be paid to X by Y and Z in such a way that their Capitals are proportionate to their profit-sharing ratio and leave a balance of ₹ 15,000 in the Bank Account.
Prepare Profit and Loss Adjustment Account and Partners' Capital Accounts.


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A, B and C were partners sharing profits and losses in the ratio of 2 : 2 : 1. C died on 30th June, 2018. Profit and Sales for the year ended 31st March, 2018 were ₹ 1,00,000 and ₹ 10,00,000 respectively. Sales during April to June, 2018 were ₹ 1,50,000. You are required to calculate share of profit of C up to the date of his death.


X, Y and Z were partners in a firm Z died on 31st May, 2021. His share of profit from the closure of the last accounting year till the date of death was to be calculated on the basis of the average of three completed years of profits before death. Profits for the years ended 31st March, 2019, 2020 and 2021 were ₹18,000 ₹ 19,000 and ₹ 17,000 respectively. Calculate Z's share of profit till his death and pass necessary Journal entry for the same when:
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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: 
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(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.


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Liabilities

Amount (₹)

Assets

Amount (₹)

Sundry Creditors

2,50,000

Building

2,60,000

Reserve Fund

2,00,000

Investment

1,10,000

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Qureshi 1,00,000 3,50,000 Stock 1,20,000
Ross 1,00,000   Cash 60,000
 

8,00,000

 

8,00,000

   
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(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.
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Prepare Qureshi's Capital Account to be rendered to his executors.


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.
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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.
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Prepare Chetan's Capital Account to be presented to his executor.


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Liabilities

 

Assets

Trade Creditors

40,000

Building

2,00,000

General Reserve

45,000

Plant and Machinery

80,000

Capital A/cs:

  Stock 35,000
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1,95,000

  Debtors 80,000
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80,000

3,95,000

   
 

4,80,000

 

4,80,000

   
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(b) Share of profits from the closure of the last accounting year till the date of death on the basis of the profit of the preceding completed year before death.
(c) Share of goodwill calculated on the basis of three times the average profit of the last four years.
(d) Interest on deceased partner's capital @ 6% p.a.
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Pass necessary Journal entries and prepare Sunil's Capital Account and Sunil's Executor Account. 


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

 
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(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.


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.


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:
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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 and B are partners in a firm sharing profits and losses in the ratio of 3 : 2. A new partner C is admitted. A surrenders 1/5th of his share and B surrenders 2/5th of his share and B surrenders 2/5th of his share in favour of C. For the purpose of C's admission, goodwill of the firm is valued at ₹ 75,000 and C brings in his share of goodwill in cash which is retained in the firm's books. Journalise the above transactions.


A and B are partners sharing profits and losses in the ratio of 2 : 5. They admit C on the condition that he will bring ₹ 14,000 as his share of goodwill to be distributed between A and B. C's share in the future profits or losses will be 1/4th. What will be the new profit-sharing ratio and what amount of goodwill brought in by C will be received by A and B? 


X, Y and Z who are sharing profits in the ratio of 5 : 3 : 2, decide to share profits in the ratio of 2 : 3 : 5 with effect from 1st April, 2019. Workmen Compensation Reserve appears at ₹ 1,20,000 in the Balance Sheet as at 31st March, 2019 and Workmen Compensation Claim is estimated at ₹ 1,50,000. Pass Journal entries for the accounting treatment of Workmen Compensation Reserve. 


A and B are partners sharing profit or loss in the ratio of 4 : 1. A surrenders `1/4` of his share and B surrenders 112 of his share in favour of C, a new partner. What will be the C’s share?


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