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Question
P and Q are partners sharing profits in 2:1 ratio. They admitted R into partnership giving him 1/5 share which he acquired from P and Q in 1:2 ratio. Calculate new profit sharing ratio?
Solution
Old Ratio = P : Q
= 2 : 1
= `2/3 : 1/3`
R admits for `1/5` share in the new firm which he takes from `1/3` from P and `2/3` from Q.
P’s sacrifice = R’s share × `1/3`
= `1/5 xx 1/3 = 1/15`
Q’s sacrifice = R’s share × `2/3`
= `1/5 xx 2/3 = 2/15`
New Ratio = Old Ratio − Sacrificing Ratio
P = `2/3 - 1/15`
= `[10 -1]/15 = 9/15`
Q = `1/3 - 2/15`
= `[5 - 2]/15 = 3/15`
New Ratio = P : Q : R
= `9/15 : 3/15 : 1/5`
= ` [ 9 : 3 : 3]/15`
= `3 : 1 : 1`
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|
Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
|||
| Creditors |
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Cash | 1,20,000 | |||
| General Reserve | 90,000 | Debtors | 1,35,000 | |||
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10,50,000 |
Patents |
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||
| Building | 3,00,000 | |||||
|
|
|
Profit and Loss Account |
75,000 |
|||
|
13,05,000 |
13,05,000 |
|||||
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|
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 |
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|
Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
||
| Creditors |
10,800 |
Cash at Bank | 13,000 | ||
| Bills Payable |
5,000 |
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|
|
| Capital A/cs: |
|
Less: Provision for Doubtful Debts |
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| B |
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90,000 |
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|
|
1,05,800 |
1,05,800 |
||||
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|
Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
||
|
Sundry Creditors |
2,50,000 |
Building |
2,60,000 |
||
|
Reserve Fund |
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||
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|
8,00,000 |
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||||
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|
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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|
Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
||
|
Sundry Creditors |
2,70,000 |
Cash in Hand |
42,500 |
||
|
General Reserve |
1,20,000 |
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2,14,500 |
||
|
Capital A/cs: |
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| A |
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4,00,000 |
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|
7,90,000 |
7,90,000 |
||||
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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 | ||
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|
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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BALANCE SHEET as at 31st March, 2018
| Liabilities | Amount (₹) |
Assets | Amount (₹) |
||
| X's Capital A/c | 2,40,000 |
Machinery |
2,40,000 | ||
| Y's Capital A/c | 1,60,000 | Furniture | 1,50,000 | ||
|
Z's Capital A/c |
80,000 | 4,80,000 | Investments | 40,000 | |
| X's Current A/c | 16,000 | Stock | 64,000 | ||
| Y's Current A/c | 5,000 | Sundry Debtors | 50,000 | ||
| Reserve | 60,000 | Bills Receivable | 22,000 | ||
| Bills Payable | 34,000 | Cash at Bank | 37,000 | ||
| Sundry Creditors | 40,000 | Cash in Hand | 22,000 | ||
| Z's Current A/c | 10,000 | ||||
| 6,35,000 | 6,35,000 | ||||
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|
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