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Find New Profit-sharing Ratio: - Accountancy

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Question

Find New Profit-sharing Ratio:
 A and B are partners sharing profits/losses in the ratio of 3 : 2 . C is admitted for 1/4th share. A and B decide to share equally in future.

Sum

Solution

Old Ratio = A : B = 3 : 2.

C admits for `1/4` share of profit
Let the combined share of all partners after C’s admission be = 1
Combined share of A and B after C’s admission = 1 - C's share
= 1 - `1/4  = 3/4`

New Ratio of A and B each = Combined share of A and B x `1/2`
= `3/4 xx 1/2 = 3/8` each

New Profit Sharing Ratio = `3/8 : 3/8 : 1/4`

                                         = `[ 3 : 3 : 2]/8` 
                                         =   3 : 3 : 2

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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 86]

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TS Grewal Accountancy - Double Entry Book Keeping Volume 1 [English] Class 12
Chapter 5 Admission of a Partner
Exercises | Q 9.6 | Page 86

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.


Sangeeta, Saroj and Shanti are partners sharing profits in the ratio of 2:3:5. Goodwill is appearing in the books at a value of Rs 60,000. Sangeeta retires and goodwill is valued at Rs 90,000. Saroj and Shanti decided to share future profits equally. Record necessary Journal entries.


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A, B and C were partners in a firm sharing profits in 3:3:2 ratio. They admitted D as a new partner for 4/7 profit. D acquired his share 2/7 from A. 1/7 from B and 1/7 from C. 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.


X, Y and Z are partners sharing profits in the ratio of 3 : 2 : 1. Goodwill is appearing in the books at a value of ₹ 60,000. Y retires and at the time of Y's retirement, goodwill is valued at ₹ 84,000. X and Z decided to share future profits in the ratio of 2 : 1. Pass the necessary Journal entries through Goodwill Account.


A, B and C were partners in a firm sharing profits in the ratio of 6 : 5 : 4. Their capitals were A − ₹ 1,00,000; B − ₹ 80,000 and C − ₹ 60,000 respectively. On 1st April, 2009, A retired from the firm and the new profit sharing ratio between B and C was decided as 1 : 4. On A's retirement, the goodwill of the firm was valued at ₹ 1,80,000. Showing your calculations clearly, pass the necessary Journal entry for the treatment of goodwill on A's retirement.


Ramesh wants to retire from the firm. The gain (profit) on revaluation on that date was ₹ 12,000. Mohan and Rahul want to share this in their new profit-sharing ratio of 3 : 2. Ramesh wants this to be shared equally. How is the profit to be shared? Give reasons.


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%.
(d) The amount payable to Kanika was transferred to her Loan Account.
​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.


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. 


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.


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.


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 and Y are partners. The Partnership Deed provides inter alia:
(a) That the Accounts be balanced on 31st March every year.
(b) That the profits be divided as: X one-half, Y one-third and carried to a Reserve one-sixth.
(c) That in the event of the death of a partner, his Executors be entitled to be paid:
    (i) The Capital to his credit till the date of death.
    (ii) His proportion of profits till the date of death based on the average profits of the last three completed years.
    (iii) By way of Goodwill, his proportion of the total profits for the three preceding years.
(d)

BALANCE SHEET as at 31st March, 2019
Liabilities Assets
Capital A/cs:   Sundry Assets 21,000
 X 9,000      
 Y      6,000  15,000      
Reserve   3,000      
Creditors 3,000    
  21,000   21,000


Profits for three years were: 2016-17 − ₹ 4,200; 2017-18 − ₹ 3,900; 2018-19 − ₹ 4,500. Y died on 1st August, 2019. Prepare necessary accounts.


, Q and R were partners in a firm sharing profits in 2 : 2 : 1 ratio. The Partnership Deed provided that on the death of a partner his executors will be entitled to the following:
(a) Interest on Capital @ 12% p.a.
(b) Interest on Drawings @ 18% p.a.
(c) Salary of ₹ 12,000 p.a.
(d) Share in the profit of the firm (up to the date of death) on the basis of previous year's profit.
P died on 31st May, 2018. His capital was ₹ 80,000. He had withdrawn ₹ 15,000 and interest on his drawings was calculated as ₹ 1,200. Profit of the firm for the previous year ended 31st March, 2018 was ₹ 30,000.
Prepare P's Capital Account to be rendered to his executors.


​​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. 


Akhil, Nikhil and Sunil were partners sharing profits and losses equally. Following was their Balance Sheet as at 31st March, 2018:
 

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
 Akhil

1,95,000

  Debtors 80,000
 Nikhil 1,20,000   Cash at Bank 85,000
 Sunil

80,000

3,95,000

   
 

4,80,000

 

4,80,000

   
Sunil died on 1st August, 2018. The Partnership Deed provided that the executor of a deceased partner was entitled to:
(a) Balance of Partners' Capital Account and his share of accumulated reserve.
(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.
(e) ₹ 50,000 to be paid to deceased's executor immediately and the balance to remain in his Loan Account.
Profits and Losses for the preceding years were: 2014-15 − ₹ 80,000 Profit; 2015-16 − ₹ 1,00,000 Loss; 2016-17 − ₹ 1,20,000 Profit; 2017-18 − ₹ 1,80,000 Profit.
Pass necessary Journal entries and prepare Sunil's Capital Account and Sunil's Executor 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 and B are partners sharing profits and losses in the proportion of 7 : 5. They agree to admit C, their manager, into partnership who is to get 1/6th share in the profits. He acquires this share as 1/24th from A and 1/8th from B. Calculate new profit-sharing 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:
X, Y and Z are partners in the ratio of 3 : 2 : 1. W joins the firm as a new partner for 1/6th share in profits. Z would retain his original share


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.


A and B are partners in a firm sharing profits in the ratio of 2 : 1. They decided with effect from 1st April, 2018, that they would share profits in the ratio of 3 : 2. But, this decision was taken after the profit for the year ended 31st March, 2019 of ₹ 90,000 was distributed in the old ratio.
The profits for the year ended 31st March, 2017 and 2018 were ₹ 60,000 and ₹ 75,000 respectively. It was decided that Goodwill Account will not be opened in the books of the firm and necessary adjustment be made through Capital Accounts which on 31st March, 2019 stood at ₹ 1,50,000 for A and ₹ 90,000 for B.
Pass necessary Journal entries and prepare Capital Accounts. 


X and Y are partners in a firm sharing profits and losses in the ratio of 3 : 2. With effect from 1st April, 2019, they decided to share future profits equally. On the date of change in the profit-sharing ratio, the Profit and Loss Account showed a credit balance of ₹ 1,50,000. Record the necessary Journal entry for the distribution of the balance in the Profit and Loss Account immediately before the change in the profit-sharing ratio. 


Nitin, Tarun and Amar are partners sharing profits equally and decide to share profits in the ratio of 2 : 2 : 1 w.e.f. 1st April, 2019. The extract of their Balance Sheet as at 31st March, 2019 is as follows:

Liabilities ₹   Assets ₹ 
Investments Fluctuation Reserve 60,000 Investments (At Cost) 4,00,000

Pass the Journal entries in each of the following situations:
(i) When its Market Value is not given;
(ii) When its Market Value is ₹ 4,00,000;
(iii) When its Market Value is ₹ 4,24,000;
(iv) When its Market Value is ₹ 3,70,000;
(v) When its Market Value is ₹ 3,10,000.


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.


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.


XY and Z are partners sharing profits and losses in the ratio of 7 : 5 : 4. Their Balance Sheet as at 31st March, 2019 stood as:

Liabilities Amount (₹) Assets Amount (₹)
Capital A/cs:   Sundry Assets 7,00,000
 X 2,10,000      
 Y 1,50,000      
 Z 1,20,000 4,80,000    
General Reserve   65,000    
Profit and Loss A/c   25,000    
Creditors   1,30,000    
    7,00,000   7,00,000


Partners decided that with effect from 1st April, 2019, they will share profits and losses in the ratio of 3 : 2 : 1. For this purpose, goodwill of the firm was valued at ₹ 1,50,000. The partners neither want to record the goodwill nor want to distribute the General Reserve and profits.
Pass a Journal entry to record the change and prepare Balance Sheet of the constituted firm.


A and B were partners. They shared profits as A-`1/2`, B-`1/3` and carried to reserve `1/6`. B died. The balance of reserve on the date of B's death was ₹ 30,000. B's share of a reserve will be:


Some adjustments are to be made at the time of the retiring partner.

(i) New profit sharing ratio of continuing partners

(ii) Accounting treatment of Goodwill

(iii) Sacrificing ratio of continuing partners

(iv) Accounting treatment of joint life policy.

Which of the above adjustments are to be done?


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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