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Question
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?
Solution
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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|
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 |
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|
|
| X |
50,000 |
Less: Provision for Doubtful Debts |
4,000 |
76,000 |
|
| Y | 40,000 | Stock | 1,24,000 | ||
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| X | 1,00,000 | Advertisement Suspense A/c | 16,000 | ||
| Y |
60,000 |
|
Profit and Loss A/c | 4,000 | |
| Z |
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2,10,000 |
|
||
|
6,30,000 |
6,30,000 |
||||
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| 8,70,000 | 8,70,000 | ||||
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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 |
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| B | 1,20,000 | Investment | 1,32,500 | ||
| C |
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4,00,000 |
Building | 2,10,000 | |
| B's Loan | 10,000 | ||||
|
7,90,000 |
7,90,000 |
||||
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|
Liabilities |
₹ |
Assets |
₹ |
||
|
Creditors |
10,000 |
Plant and Machinery |
40,000 |
||
|
General Reserve |
30,000 |
Furniture |
15,000 |
||
|
Capital A/cs: |
Investments | 20,000 | |||
| Sunny |
30,000 |
Debtors | 20,000 | ||
| Honey | 30,000 | Stock | 20,000 | ||
| Rupesh |
20,000 |
80,000 |
25,000 | ||
|
1,20,000 |
1,20,000 |
||||
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|
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 |
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| T |
75,000 |
3,50,000 |
Cash at Bank | 40,000 | |
|
4,35,000 |
4,35,000 |
||||
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|
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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|
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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| Liabilities | Amount (₹) |
Assets | Amount (₹) |
||
| X's Capital A/c | 2,40,000 |
Machinery |
2,40,000 | ||
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|
Z's Capital A/c |
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| Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
|
| Creditors | 50,000 | Land | 50,000 | |
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