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प्रश्न
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.
उत्तर
Calculation of new profit sharing ratio
Case 1:
A : B : C = 5 : 4 : 1 (Old ratio)
C aquires `1/5 "th"` from A
A's sacrifice = `1/5`
C's gain = `1/5`
A = `5/10 - 1/5 = (5-2)/10 = 3/10`
B = `4/10`
C = `1/10 + 1/5 = (1=2)/10 = 3/10`
A : B : C = 3 : 4 : 3
Case 2:
A : B : C = 5 : 4 : 1 (Old ratio)
C aquires `1/5 "th"` share equally from A
A's sacrifice = `1/10`
B's sacrifice = `1/10`
C's gain = `1/5`
A = `5/10 - 1/10 = (5-1)/10 = 4/10`
B = `4/10 - 1/10 = (4-1)/10 = 3/10`
C = `1/10 + 1/5 = (1+2)/10 = 3/10`
A : B : C = 4 : 3 : 3
Case 3:
A : B : C = 5 : 4 : 1 (Old ratio)
A : B : C = 1 : 1 : 1 (New ratio)
A = `5/10 - 1/3 = (15-10)/30 = 5/30` (Sacrifice)
B = `4/10 - 1/3 = (12-10)/30 = 2/30` (sacrifice)
C = `1/10 - 1/3 = (3-10)/30 = -7/30` (gain)
Case 4:
A : B : C = 5 : 4 : 1 (Old ratio)
A's sacrifice to C = `5/10 xx 1/10 = 1/20`
B's sacrifice to C = `4/10 xx 1/2 = 4/20`
C's gain = `1/20 + 4/20 = 5/20`
A = `5/10 - 1/20 = (10-1)/20 = 9/20`
B = `4/10 - 4/20 = (8-4)/20 = 4/20`
C = `1/10 + 5/10 = (2+5)/20 = 7/20`
A : B : C = 9 : 4 : 7
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Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
||
General Reserve |
12,000 |
Bank | 7,600 | ||
Sundry Creditors |
15,000 |
Debtors |
6,000 |
|
|
Bills Payable |
12,000 |
Less: Provision for Doubtful Debts |
400 |
5,600 |
|
Outstanding Salary | 2,200 | Stock | 9,000 | ||
Provision for Legal Damages | 6,000 | Furniture | 41,000 | ||
Capital A/cs: | Premises | 80,000 | |||
Pankaj |
46,000 |
|
|||
Naresh | 30,000 | ||||
Saurabh |
20,000 |
96,000 |
|||
1,43,200 |
1,43,200 |
Additional Information:
(a) Premises have appreciated by 20%, stock depreciated by 10% and provision for doubtful debts was to be made 5% on debtors. Further, provision for legal damages is to be made for ₹ 1,200 and furniture to be brought up to ₹ 45,000.
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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 |
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(a) Goodwill of the firm is to be valued at ₹ 14,000.
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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.
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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 |
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(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.
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Liabilities | ₹ | Assets | ₹ | |
Sundry Creditors | 39,750 | Bank (Minimum Balance) | 15,000 | |
Employees' Provident Fund | 5,250 | Debtors | 97,500 | |
Workmen Compensation Reserve | 22,500 | Stock | 82,500 | |
Capital A/cs: | Fixed Assets | 1,87,500 | ||
X | 1,65,000 | |||
Y | 84,000 | |||
Z | 66,000 | 3,15,000 | ||
3,82,500 | 3,82,500 |
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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.
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(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.
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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 |
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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) 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.
A, B and C were partners in a firm sharing profits in the ratio of 5 : 3 : 2. On 31st March, 2018, their Balance Sheet was as follows:
Liabilities |
₹ |
Assets |
₹ |
||
Creditors |
11,000 |
Building |
20,000 |
||
Reserves |
6,000 |
Machinery |
30,000 |
||
A's Loan A/c | 5,000 | Stock | 10,000 | ||
Capital A/cs: |
Patents | 11,000 | |||
A |
25,000 |
Debtors | 8,000 | ||
B | 25,000 | Cash | 8,000 | ||
C |
15,000 |
65,000 |
|||
87,000 |
87,000 |
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(i) Goodwill to be valued at 212 years' purchase of the average profit of the previous 4 years, which were 2014-15: ₹ 13,000; 2015-16: ₹ 12,000; 2016-17: ₹ 20,000 and 2017-18: ₹ 15,000.
(ii) Patents be valued at ₹ 8,000; Machinery at ₹ 28,000; and Building at ₹ 25,000.
(iii) Profit for the year 2017-18 be taken as having accrued at the same rate as that of the previous year.
(iv) Interest on capital be provided @ 10% p.a.
(v) Half of the amount due to A to be paid immediately to the executors and the balance transferred to his (Executors') Loan Account.
Prepare A's Capital Account and A's Executors' Account as on 1st October, 2018.
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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.
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 |
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(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.
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Pass necessary Journal entries and prepare Sunil's Capital Account and Sunil's Executor Account.
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Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
||
Creditors |
2,00,000 |
Building |
2,00,000 |
||
Employees' Provident Fund |
1,50,000 |
Machinery |
3,00,000 |
||
General Reserve |
36,000 |
Furniture | 1,10,000 | ||
Investment Fluctuation Reserve | 14,000 | Investment (Market value ₹ 86,000) | 1,00,000 | ||
Capital A/cs: |
Debtors | 80,000 | |||
X |
3,00,000 |
Cash at Bank | 1,90,000 | ||
Y | 2,50,000 | Advertisement Suspense | 1,20,000 | ||
Z |
1,50,000 |
7,00,000 |
|||
11,00,000 |
11,00,000 |
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Year | 2014-15 | 2015-16 | 2016-17 | 2017-18 |
Profits (₹) | 1,70,000 | 1,80,000 | 1,90,000 | 1,80,000 |
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(v) Interest on Capital to be provided at 10% p.a.
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Liabilities | ₹ | Assets | ₹ |
Investments Fluctuation Reserve | 60,000 | Investments (At Cost) | 4,00,000 |
Pass the Journal entries in each of the following situations:
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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 .
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.
Following is the Balance Sheet of A and B, who shared Profits and Losses in the ratio of 2 : 1, as at 1st April, 2019:
BALANCE SHEET OF A AND B
as on 1st April, 2019
Liabilities | Amount (₹) |
Assets |
Amount (₹) |
|
Capital A/cs: | Land ad Building | 2,90,000 | ||
A | 3,00,000 | Furniture | 80,000 | |
B | 2,00,000 | 5,00,000 | Stock | 2,40,000 |
Reserve | 1,50,000 | Debtors | 1,50,000 | |
Creditors | 2,00,000 | Bank | 60,000 | |
Cash | 30,000 | |||
8,50,000 | 8,50,000 |
On the above date, the partners changed their profit-sharing ratio to 3 : 2. For this purpose, the goodwill of the firm was valued at ₹ 3,00,000. The partners also agreed for the following:
(a) The value of Land and Building will be ₹ 5,00,000;
(b) Reserve is to be maintained at ₹ 3,00,000.
(c) The total capital of the partners in the new firm will be ₹ 6,00,000, which will be shared by the partners in their new profit-sharing ratio.
Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of the reconstituted firm.
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.
The incoming partner cannot acquire his share of profits:
A and B share profits in the ratio of 2 : 1. C is admitted with `1/4` share in profits. C acquires `3/4` of his share from A and `1/4` of his share from B. The new ratio will be:
P and S are partners sharing profits in the ratio of 3 : 2. R is admitted with `1/5`th share and he brings in ₹ 84,000 as his share of goodwill which is credited to the capital accounts of P and S respectively with ₹ 63,000 and ₹ 21,000. New profit sharing ratio will be:
How is the new profit sharing ratio mathematically stated?
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 ______.
X, Y and Z were partners in a firm. The firm closes its books on 31st March every year. On 31st December 2021, X died. The partnership deed provided that the share of deceased partner in the profit of the firm till the date of his death will be calculated on the basis of last year's profit. The profit for the year ended 31.3.2021 was ₹ 6,00,000. Calculate X's share in the profit of the firm till the date of his death and pass the necessary journal entry for the same in the books of the firm.
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.