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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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Liabilities | Amount (₹) |
Amount (₹) |
Assets | Amount (₹) |
Amount (₹) |
Creditors | 49,000 | Cash | 8,000 | ||
Reserve | 18,500 | Debtors | 19,000 | ||
Capital A/cs: | Stock | 42,000 | |||
X | 82,000 | 2,17,500 | Building | 2,07,000 | |
Y | 60,000 | Patents | 9,000 | ||
Z | 75,500 | ||||
2,85,000 | 2,85,000 |
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Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
|||
Creditors |
1,65,000 |
Cash | 1,20,000 | |||
General Reserve | 90,000 | Debtors | 1,35,000 | |||
Capitals: | Less: Provision | 15,000 | 1,20,000 | |||
N | 2,25,000 | Stock | 1,50,000 | |||
S | 3,75,000 | Machinery | 4,50,000 | |||
G |
4,50,000 |
10,50,000 |
Patents |
90,000 |
||
Building | 3,00,000 | |||||
|
|
Profit and Loss Account |
75,000 |
|||
13,05,000 |
13,05,000 |
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Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
||
Sundry Creditors |
12,600 |
Bank | 4,100 | ||
Provident Fund |
3,000 |
Debtors |
30,000 |
|
|
General Reserve |
9,000 |
Less: Provision |
1,000 |
29,000 |
|
Capital A/cs: |
|
|
|||
Amit |
40,000 | Stock | 25,000 | ||
Balan |
36,500 | Investments | 10,000 | ||
Chander |
20,000 |
96,500 |
Patents |
5,000 |
|
|
|
Machinery |
48,000 |
||
1,21,100 |
1,21,100 |
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Year | 2015-16 | 2016-17 | 2017-18 | 2018-19 |
Profit (₹) | 1,50,000 | 1,00,000 | 50,000 |
1,00,000
|
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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 |
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 |
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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 | ||
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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 |
Debtors | 40,000 | ||
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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(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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