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Calculate New Profit-sharing Ratio. - Accountancy

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Question

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.

Sum

Solution

Old Ratio = Ravi : Mukesh
                = `7/10 : 3/10`

A is admitted for `3/7` share of profit

Ravi sacrifices in favour of Ashok = `2/7`

Mukesh sacrifices in Favour of Ashok = `1/7`

New Ratio = Old Ratio - Sacrificing Ratio
Ravi's = `7/10 - 2/7 = 29/70`

Mukesh's = `3/10 - 1/7 = 11/70`

New Profit Sharing Ratio = Ravi : Mukesh : Ashok

                                        = `29/70 : 11/10 : 3/7` 

                                        = `[ 29 : 11 : 30 ]/70`

                                        = 29 : 11 : 30

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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 2 | Page 85

RELATED QUESTIONS

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?


From the following particulars, calculate new profit-sharing ratio of the partners:
(a) Shiv, Mohan and Hari were partners in a firm sharing profits in the ratio of 5 : 5 : 4. Mohan retired and his share was divided equally between Shiv and Hari.
(b) P, Q and R were partners sharing profits in the ratio of 5 : 4 : 1. P retires from the firm.


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.


P, Q, R and S were partners in a firm sharing profits in the ratio of 5 : 3 : 1 : 1. On 1st January, 2019, S retired from the firm. On S's retirement, goodwill of the firm was valued at ₹ 4,20,000. New profit-sharing ratio among P, Q and R will be 4 : 3 : 3.
Showing your working notes clearly, pass necessary Journal entry for the treatment of goodwill in the books of the firm on S's retirement.


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, C and D are partners in a firm sharing profits, in the ratio of 2 : 1 : 2 : 1. On the retirement of C, Goodwill was valued ₹ 1,80,000. A, B and D decide to share future profits equally. Pass the necessary Journal entry for the treatment of goodwill.


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.
(e) Unrecorded Investment worth ₹ 10,000.
(f) An item of ₹ 1,000 included in bills payable is not likely to be claimed, hence should be written back.
Pass necessary Journal entries.


X, Y and were partners in a firm sharing profits in the ratio of 2 : 2 : 1. Their Balance Sheet as at 31st March, 2019 was:

Liabilities Amount
(₹)
Assets Amount
​(₹)
Creditors 49,000 Cash 8,000
Reserve 18,500 Debtors                    19,000
Capital A/cs:   X 82,000   Stock 42,000
Y 60,000   Building 2,07,000
Z 75,500 2,17,500 Patents 9,000
  2,85,000   2,85,000

    
Y retired on 1st April, 2019 on the following terms:
(a) Goodwill of the firm was valued at ₹ 70,000 and was not to appear in the books.
(b) Bad Debts amounted to ₹ 2,000 were to be written off.
(c) Patents were considered as valueless.
Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of and Z 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.


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.


X, Y and Z are partners in a firm sharing profits in the ratio of 3 : 2 : 1. On 1st April, 2009, Y retires from the firm. X and Z agree that the capital of the new firm shall be fixed at ₹ 2,10,000 in the profit-sharing ratio. The Capital Accounts of X and Z  after all adjustments on the date of retirement showed balance of ₹ 1,45,000 and ₹ 63,000 respectively. State the amount of actual cash to be brought in or to be paid to the partners.


Following is the Balance Sheet of Kusum, Sneh and Usha as on 31st March, 2019, who have agreed to share profits and losses in proportion of their capitals:

Liabilities Assets
Capital A/cs:   Land and Building  4,00,000
Kusum 4,00,000   Machinery 6,00,000
Sneh 6,00,000   Closing Stock 2,00,000
Usha 4,00,000 14,00,000 Sundry Debtors 2,20,000  
Employees' Provident Fund 70,000 Less: Provision for Doubtful Debts 20,000  
Workmen Compensation Reserve             30,000 Cash at Bank   2,00,000
Sundry Creditors 1,00,000      2,00,000
  16,00,000    16,00,000

On 1st April, 2019, Kusum retired from the firm and the remaining partners decided to carry on the business. It was agreed to revalue the assets and reassess the liabilities on that date, on the following basis:
(a) Land and Building be appreciated by 30%.
(b) Machinery be depreciated by 30%.
(c) There were Bad Debts of ₹ 35,000.
(d) The claim against Workmen Compensation Reserve was estimated at ₹ 15,000.
(e) Goodwill of the firm was valued at ₹ 2,80,000 and Kusum's share of goodwill was adjusted against the Capital Accounts of the continuing partners Sneh and Usha who have decided to share future profits in the ratio of 3 : 4 respectively.
(f) Capital of the new firm in total will be the same as before the retirement of Kusum and will be in the new profit-sharing ratio of the continuing partners.
(g) Amount due to Kusum be settled by paying ₹ 1,00,000 in cash and balance by transferring to her Loan Account which will be paid later on.
Prepare Revaluation Account, Capital Accounts of Partners and Balance Sheet of the new firm after Kusum's retirement.


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      
          Z 33,000 1,35,000    
  2,80,000   2,80,000

    
X retired on 1st April, 2019 and Y and Z decided to share profits in future in the ratio of 3 : 2 respectively.
The other terms on retirement were:
(a) Goodwill of the firm is to be valued at ₹ 80,000.
(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.


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.


A, B and C are partners sharing profits and losses in the ratio of 3 : 2 : 1. B died on 30th June, 2018. For the year ended 31st March, 2019, proportionate profit of 2018 is to be taken into consideration. During the year ended 31st March, 2018, bad debts of ₹ 2,000 had to be adjusted. Profit for the year ended 31st March, 2018 was ₹ 14,000 before adjustment of bad debts. Calculate B's share of profit till the date of his death.


On 31st March, 2014, the Balance Sheet of Pooja, Qureshi and Ross, who were partners in a firm was as under:

Liabilities

Amount (₹)

Assets

Amount (₹)

Sundry Creditors

2,50,000

Building

2,60,000

Reserve Fund

2,00,000

Investment

1,10,000

Capital A/cs:      Qureshi's Loan 1,00,000
Pooja 1,50,000   Debtors 1,50,000
Qureshi 1,00,000 3,50,000 Stock 1,20,000
Ross 1,00,000   Cash 60,000
 

8,00,000

 

8,00,000

   
Qureshi died on 1st July, 2014. The profit-sharing ratio of the partners was 2 : 1 : 1. On the death of a partner, the partnership deed provided for the following:
(i) His share in the profits of the firm till the date of his death will be calculated on the basis of average profits of last three completed years.
(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.
(iv) Profits for the last three years were ₹ 45,000; ₹ 48,000 and ₹ 33,000.
Prepare Qureshi's Capital Account to be rendered to his executors.


Iqbal and Kapoor are in partnership sharing profits and losses in 3 : 2. Kapoor died three months after the date of the last Balance Sheet. According to the Partnership Deed, the legal heir is entitled to the following:
(a) His capital as per the last Balance Sheet.
(b) Interest on above capital @ 3% p.a. till the date of death.
(c) His share of profits till the date of death calculated on the basis of last year's profits.
His drawings are to bear interest at an average rate of 2% on the amount irrespective of the period.
The net profits for the last three years, after charging insurance premium, were ₹ 20,000; ₹ 25,000 and ₹ 30,000 respectively. Kapoor's capital as per Balance Sheet was ₹ 40,000 and his drawings till the date of death were ₹ 5,000.
Draw Kapoor's Capital Account to be rendered to his representatives.


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.


​​R, S and T were partners sharing profits and losses in the ratio of 5 : 3 : 2 respectively. On 31st March, 2018, their Balance Sheet stood as:

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, 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. 


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.


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.


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.


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.


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.


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.


AB and C were partners in a firm sharing profits in the ratio of 3 : 2 : 1. Their Balance Sheet as on 31st March, 2015 was as follows:

Liabilities

Amount

(₹)

Assets

Amount

​(₹)

Creditors 50,000 Land 50,000
Bills Payable 20,000 Building 50,000
General Reserve 30,000 Plant 1,00,000
Capital A/cs:   Stock 40,000
 A 1,00,000   Debtors 30,000
 B 50,000   Bank 5,000
 C  25,000 1,75,000    
  2,75,000   2,75,000


​ From 1st April, 2015, AB and decided to share profits equally. For this it was agreed that:
(i) Goodwill of the firm will be valued at ₹ 1,50,000.
(ii) Land will be revalued at ₹ 80,000 and building be depreciated by 6%.
(iii) Creditors of ₹ 6,000 were not likely to be claimed and hence should be written off.
Prepare Revaluation Account, Partners' Capital Accounts and Balance Sheet of the reconstituted firm.


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 :


Atul and Neera were partners in firm sharing profits in the ratio of 3: 2. They admitted Mitali as a new partner. Goodwill of the firm was valued at ₹ 2,00,000. Mitali brings her share of a goodwill premium of ₹ 20,000 in cash, which is entirely credited to Atul's Capital Account. Calculate the new profit sharing ratio.


At the time of admission of a new partner, Which adjustments are required:


Bakul, Champak and Darshan were partners in the firm sharing profits in the ratio of 5:4:1. The profit of the firm for the year ending on March 31, 2019, was Rs. 1,00,000. Champak dies on June 30, 2019. What is Champak's share of profit for the period from April 1 to June 30, 2019?


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.


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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