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Find New Profit-sharing Ratio: - Accountancy

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प्रश्न

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.

योग

उत्तर

Old Ratio = A : B 
                 = 3 : 2
C admits for `1/5` share of profit

A's Sacrifice = C's share x `1/5`

                    = `1/5 xx 1/5 = 1/25`

B's Sacrifice = C's share x `4/5`

                    = `1/5 xx 4/5 = 4/25`

New Ratio = Old Ratio − Sacrificing Ratio

A's = `3/5 - 1/25 = 14/25`

B's = `2/5 - 4/25 = 6/25`

New Profit Sharing Ratio = A : B : C 
                                        = `14/25 : 6/25 : 1/5`

                                       = ` [ 14 : 6 : 5 ]/25`

                                       = 14 : 6 : 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 ८६]

APPEARS IN

टीएस ग्रेवाल Accountancy - Double Entry Book Keeping Volume 1 [English] Class 12
अध्याय 5 Admission of a Partner
Exercises | Q 9.3 | पृष्ठ ८६

संबंधित प्रश्न

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.


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 are partners sharing profits in 3:2:2 ratio. They admitted D as a new partner for 1/5 share which he acquired from A, B and C in 2:2:1 ratio respectively. Calculate new profit sharing ratio?


Singh, Gupta and Khan are partners in a firm sharing profits in 3:2:3 ratio. They admitted Jain as a new partner. Singh surrendered 1/3 of his share in favour of Jain: Gupta surrendered 1/4 of his share in favour of Jain and Khan surrendered 1/5 in favour of Jain. Calculate new profit sharing ratio?


A, B and C are partners sharing profits in the ratio of 3 : 2 : 1. B retired and the new profit-sharing ratio between A and C was 2 : 1. On B's retirement, the goodwill of the firm was valued at ₹ 90,000. Pass necessary Journal entry for the treatment of goodwill on B's retirement.


A, B and C were partners, sharing profits and losses in the ratio of 2 : 2 : 1. B decides to retire on 31st March, 2019. On the date of his retirement, some of the assets and liabilities appeared in the books as follows:
Creditors ₹ 70,000; Building ₹ 1,00,000; Plant and Machinery ₹ 40,000; Stock of Raw Materials ₹ 20,000; Stock of Finished Goods ₹ 30,000 and Debtors ₹ 20,000.
Following was agreed among the partners on B's retirement:
(a) Building to be appreciated by 20%.
(b) Plant and Machinery to be reduced by 10%.
(c) A Provision of 5% on Debtors to be created for Doubtful Debts.
(d) Stock of Raw Materials to be valued at ₹ 18,000 and Finished Goods at ₹ 35,000.
(e) An Old Computer previously written off was sold for ₹ 2,000 as scrap.
(f) Firm had to pay ₹ 5,000 to an injured employee.
Pass necessary Journal entries to record the above adjustments and prepare the Revaluation Account.


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. 


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.


X, Y and Z are partners sharing profits and losses in the ratio of 3 : 2 : 1. Balance Sheet of the firm as at 31st March, 2019 was as follows:
 

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

Capital A/cs:   Stock   30,000
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

 
Z retired on 1st April, 2019 on the following terms:
(a) Goodwill of the firm is to be valued at ₹ 34,800.
(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.
(g) Amount due to Z to be paid as follows: ₹ 5,067 immediately, 50% of the balance within one year and the balance by a draft for 3 Months.
Give necessary Journal entries for the treatment of goodwill, prepare Revaluation Account, Capital Accounts and the Balance Sheet of the new firm.


X, Y and Z were in partnership sharing profits and losses equally. 'Y' retires from the firm. After adjustments, his Capital Account shows a  credit balance of ₹ 3,00,000 as on 1st April, 2016. Balance due to 'Y' is to be paid in three equal annual instalments along with interest @ 10% p.a. Prepare Y's Loan Account until he is paid the amount due to him. The firm closes its books on 31st March every year.


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. 


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.


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 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.


The Balance Sheet of X, Y and Z as at 31st March, 2018 was:
 

Liabilities

Amount

(₹)

Assets

Amount

(₹)

Bills Payable

2,000

Cash at Bank

5,800

Employees' Provident Fund

5,000

Bills Receivable

800

Workmen Compensation Reserve

6,000

Stock 9,000
General Reserve 6,000 Sundry Debtors 16,000
Loans 7,100 Furniture 2,000

Capital A/cs:

  Plant and Machinery 6,500
X 22,750   Building 30,000
Y

15,250

  Advertising Suspense 6,000
Z

12,000

50,000

   
 

76,100

 

76,100

   
The profit-sharing ratio was 3 : 2 : 1. Z died on 31st July, 2018. The Partnership Deed provides that:
(a) Goodwill is to be calculated on the basis of three years' purchase of the five years' average profit. The profits were: 2017-18: ₹ 24,000; 2016-17: ₹ 16,000; 2015-16: ₹ 20,000 and 2014-15: ₹ 10,000 and 2013-14: ₹ 5,000.
(b) The deceased partner to be given share of profits till the date of death on the basis of profits for the previous year.
(c) The Assets have been revalued as: Stock ₹ 10,000; Debtors ₹ 15,000; Furniture ₹ 1,500; Plant and Machinery ₹ 5,000; Building ₹ 35,000. A Bill Receivable for ₹ 600 was found worthless.
(d) A Sum of ₹ 12,233 was paid immediately to Z's Executors and the balance to be paid in two equal annual instalments together with interest @ 10% p.a. on the amount outstanding.
Give Journal entries and show the Z's Executors' Account till it is finally settled.


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.


Ravi and Mukesh are sharing profits in the ratio of 7 : 3. They admit Ashok for 3/7th share in the firm which he takes 2/7th from Ravi and 1/7th from Mukesh. Calculate new profit-sharing ratio.


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 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.


R and S are partners sharing profits in the ratio of 5 : 3. T joins the firm as a new partner. R gives 1/4th of his share and S gives 1/5th of his share to the new partner. Find out new profit-sharing ratio.


Find New Profit-sharing Ratio:
R and T are partners in a firm sharing profits in the ratio of 3 : 2. S joins the firm. R surrenders 1/4th of his share and T 1/5th of his share in favour of S.


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.


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.


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 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 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. 


X and Y are partners sharing profits in the ratio of 2 : 1. On 31st March, 2019, their Balance Sheet showed General Reserve of ₹ 60,000. It was decided that in future they will share profits and losses in the ratio of 3 : 2. Pass necessary Journal entry in each of the following alternative cases:
(i) When General Reserve is not to be shown in the new Balance Sheet.
(ii) When General Reserve is to be shown in the new Balance Sheet.


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.


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

Liabilities Amount
(₹)
Assets Amount
(₹)
Sundry Creditors 28,000 Cash  20,000
Reserve 42,000 Sundry Debtors 1,20,000
Capital A/cs:   Stock 1,40,000
 A 2,40,000   Fixed Assets 1,50,000
 B 1,20,000 3,60,000    
  4,30,000   4,30,000

They decided that with effect from 1st April, 2019, they will share profits and losses in the ratio of 2 : 1. For this purpose they decided that:
(i) Fixed Assets are to be reduced by 10%.
(ii) A Provision for Doubtful Debts of 6% be made on Sundry Debtors.
(iii) Stock be valued at ₹ 1,90,000.
(iv) An amount of ₹ 3,700 included in Creditors is not likely to be claimed .
Partners decided to record the revised values in the books. However, they do not want to disturb the Reserve. You are required to pass Journal entries, prepare Capital Accounts of Partners and the revised Balance Sheet.


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 :


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 ______.


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.


A & B are partners sharing profits and losses in the ratio of 3 : 2. C is admitted for ¼ and for which ₹ 30,000 and ₹ 10,000 are credited as a premium for goodwill to A and B respectively. The new profit sharing ratio of A : B : C will be ______.


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