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प्रश्न
Radha and Rukmani are partners in a firm sharing profits in 3:2 ratio. They admitted Gopi as a new partner. Radha surrendered 1/3 of her share in favour of Gopi and Rukmani surrendered 1/4 of her share in favour of Gopi. Calculate new profit sharing ratio?
उत्तर
Old Ratio = Radha : Rukmani
= 3 : 2
= `3/5 : 2/5`
Radha surrendered in favour of Gopi = ` 1/3` of his share
Rukmani surrendered in favour of Gopi = `1/4` of his share
Sacrificing Ratio = Old Ratio × Surrender Ratio
Radha = `3/5 xx 1/3`
`= cancel3/5 xx 1/cancel3`
`= 1/5`
Rukmani = `2/5 xx 1/4`
`= cancel(2)^1/5 xx 1/cancel(4)^2`
`= 1/(5 xx 2)`
`= 1/10`
New Ratio = Old Ratio − Sacrificing Ratio
Radha = `3/5 - 1/5 = 2/5`
Rukmani = `2/5 - 1/10 = [ 4 -1 ]/10 = 3/10`
Gopi’s Share = Radha’s Sacrificing Ratio + Rukmani’s Sacrificing Ratio
= `1/5 + 1/10 = [ 2 + 1 ]/10`
= `3/10`
New Ratio = Radha : Rukmani : Gopi
= `2/5 : 3/10 : 3/10`
= `[ 4 : 3 : 3 ]/10`
= ` 4 : 3 : 3`
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संबंधित प्रश्न
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.
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.
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.
X, Y and Z 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 X and Z after Y's retirement.
X, Y and Z are partners sharing profits in the ratio of 4 : 3 : 2. Their Balance Sheet as at 31st March, 2019 stood as follows:
Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
||
Creditors |
24,140 |
Cash at Bank | 3,300 | ||
Capital A/cs: |
|
Sundry Debtors |
3,045 |
|
|
X | 12,000 |
|
Less: Provision for Doubtful Debts |
105 |
2,940 |
Y |
9,000 |
|
Stock | 4,800 | |
Z | 6,000 | 27,000 | Plant and Machinery | 5,100 | |
|
Land and Building | 15,000 | |||
|
|
Y's Loan |
20,000 |
||
51,140 |
51,140 |
Y retired on 1st April, 2019 after giving due notice. Following adjustments in the books of the firm were agreed:
(a) Land and Building be appreciated by 10%.
(b) Provision for Doubtful Debts is no longer necessary since all the debtors are good.
(c) Stock be appreciated by 20%.
(d) Adjustment be made in the accounts to rectify a mistake previously committed whereby Y was credited in excess by ₹ 810, while X and Z were debited in excess of ₹ 420 and ₹ 390 respectively.
(e) Goodwill of the firm be valued at ₹ 5,400 and Y's share of the same be adjusted to that of X and Z who were going to share in the ratio of 2 : 1.
(f) It was decide by X and Y to settle Y's account immediately on his retirement.
Prepare: (i) Revaluation Account; (ii) Partner's Capital Accounts and (iii) Balance Sheet of the firm after Y'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 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 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.
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.
X, Y and Z are partners in a firm sharing profits in the ratio of 3 : 1 : 2. On 31st March, 2019, their Balance Sheet was:
Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
||
Bills Payable |
12,000 |
Freehold Premises | 40,000 | ||
Sundry Creditors | 28,000 | Machinery | 30,000 | ||
General Reserve | 12,000 | Furniture | 12,000 | ||
Capital A/cs: | Stock | 22,000 | |||
X | 30,000 | Sundry Debtors |
20,000 |
|
|
Y | 20,000 | Less: Provision for Doubtful Debts |
1,000 |
19,000 |
|
Z | 28,000 |
78,000 |
Cash |
7,000 |
|
1,30,000 |
1,30,000 |
Z retired on 1st April, 2019 from the business and the partners agree to the following:
(a) Freehold Premises and Stock are to be appreciated by 20% and 15% respectively.
(b) Machinery and Furniture are to be reduced by 10% and 7% respectively.
(c) Provision for Doubtful Debts is to be increased to ₹ 1,500.
(d) Goodwill of the firm is valued at ₹ 21,000 on Z's retirement.
(e) Continuing partners to adjust their capitals in their new profit-sharing ratio after retirement of Z. Surplus/deficit, if any, in their Capital Accounts will be adjusted through Current Accounts.
Prepare necessary Ledger Accounts and draw the Balance Sheet of the reconstituted firm.
A, B and C are partners in a firm sharing profits and losses in the ratio of 3 : 2 : 1. Their Balance Sheet as at 31st March, 2019 is:
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 |
|
Capital A/cs: | Stock | 18,000 | |||
A |
40,000 |
|
Furniture | 30,000 | |
B | 40,000 | Machinery | 70,000 | ||
C |
30,000 |
1,10,000 |
Goodwill |
10,000 |
|
1,68,000 |
1,68,000 |
B retires on 1st April, 2019 on the following terms:
(a) Provision for Doubtful Debts be raised by ₹ 1,000.
(b) Stock to be reduced by 10% and Furniture by 5%.
(c) Their is an outstanding claim of damages of ₹ 1,100 and it is to be provided for.
(d) Creditors will be written back by ₹ 6,000.
(e) Goodwill of the firm is valued at ₹ 22,000.
(f) B is paid in full with the cash brought in by A and C in such a manner that their capitals are in proportion to their profit-sharing ratio and Cash in Hand remains at ₹ 10,000.
Prepare Revaluation Account, Partners' Capital Accounts and the Balance Sheet of A and C.
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.
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X, Y and Z were partners in a firm sharing profit in 3 : 2 : 1. The firm closes its books on 31st March every year. Y died on 30th June, 2018. On Y's death goodwill of the firm was valued at ₹ 60,000. Y's share in the profit of the firm till the date of his death was to be calculated on the basis of previous year's profit which was ₹ 1,50,000.
Pass necessary Journal entries for goodwill and Y's share of profit at the time of his death.
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 |
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(a) Capital as per the last Balance Sheet.
(b) Interest on capital at 6% per annum till the date of her death.
(c) Her share of profit to the date of death calculated on the basis of average profit of last four years.
(d) Her share of goodwill to be determined on the basis of three years' purchase of the average profit of last four years. The profits of last four years were:
Year | 2010-11 | 2011-12 | 2012-13 | 2013-14 |
Profit (₹ ) | 30,000 | 50,000 | 40,000 | 60,000 |
The balance in Momita's Capital Account on 31st March, 2014 was ₹ 60,000 and she had withdrawn ₹ 10,000 till date of her death. Interest on her drawings was ₹ 300.
Prepare Momita's Capital Account to be presented to her executors.
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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.
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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.
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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 |
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(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.
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(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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Find New Profit-sharing Ratio:
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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.
X, Y and Z are partners sharing profits and losses in the ratio of 5 : 3 : 2, decided to share future profits and losses equally with effect from 1st April, 2019. On that date, the goodwill appeared in the books at ₹ 12,000. But it was revalued at ₹ 30,000. Pass Journal entries assuming that goodwill will not appear in the books of account.
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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:
(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;
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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, B and C are partners sharing profits and losses in the ratio of 5 : 3 : 2. Their Balance Sheet as at 31st March, 2019 stood as follows:
Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
|
Capital A/cs: | Land and Building | 3,50,000 | ||
A | 2,50,000 | Machinery | 2,40,000 | |
B | 2,50,000 | Computers | 70,000 | |
C | 2,00,000 | 7,00,000 | Investments (Market value ₹ 90,000) | 1,00,000 |
General Reserve | 60,000 | Sundry Debtors | 50,000 | |
Investments Fluctuation Reserve | 30,000 | Cash in Hand | 10,000 | |
Sundry Creditors | 90,000 | Cash at Bank | 55,000 | |
Advertisement Suspense | 5,000 | |||
8,80,000 | 8,80,000 |
They decided to share profits equally w.e.f. 1st April, 2019. They also agreed that:
(i) Value of Land and Building be decreased by 5%.
(ii) Value of Machinery be increased by 5%.
(iii) A Provision for Doubtful Debts be created @ 5% on Sundry Debtors.
(iv) A Motor Cycle valued at ₹ 20,000 was unrecorded and is now to be recorded in the books.
(v) Out of Sundry Creditors, ₹ 10,000 is not payable.
(vi) Goodwill is to be valued at 2 years' purchase of last 3 years profits. Profits being for 2018-19 − ₹ 50,000 (Loss); 2017-18 − ₹ 2,50,000 and 2016-17 − ₹ 2,50,000.
(vii) C was to carry out the work for reconstituting the firm at a remuneration (including expenses) of ₹ 5,000. Expenses came to ₹ 3,000.
Pass Journal entries and prepare Revaluation Account.
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:
A, B and C are partners sharing profit in the ratio of 2 : 2 : 1. C retired. The new Profit Sharing ratio between A and B will be:
A, B and C are three partners sharing profit and loss in the ratio of 3:2:1. B retires from the firm. Suppose A and C purchase the share of retiring partners equally. What is the new profit sharing ratio?