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Question
A, B and C are partners sharing profits in 3:2:2 ratio. They admitted D as a new partner for 1/5 share which he acquired from A, B and C in 2:2:1 ratio respectively. Calculate new profit sharing ratio?
Solution
Old Ratio = A : B : C
= 3 : 2 : 2
= `3/7 : 2/7 : 2/7`
D admits for `1/5` share in the new firm which he takes `1/5` in the ratio 2:2:1 from A, B and C.
A’s sacrifice = D’s share × `2/5`
= `1/5 xx 2/5 = 2/25`
B’s sacrifice = D’s share × `2/5`
= `1/5 xx 2/5 = 2/25`
C’s sacrifice = D’s share × `1/5`
= `1/5 - 1/5 = 1/25`
New Ratio = Old Ratio − Sacrificing Ratio
A = `3/7 - 2/25`
= `[ 75 -14 ]/175 = 61/175`
B = `2/7 - 2/25`
= `[ 50 - 14]/175 = 36/175`
C = `2/7 - 1/25`
= `[ 50 -7]/175 = 43/175`
New Ratio = A : B : C : D
= `61/175 : 36/175 : 43/175 : 1/5`
= `[ 61 : 36 : 43 : 35 ]/175`
= `61 : 36 : 43 : 35`
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Liabilities |
Amount (₹) |
Assets |
Amount (₹) |
||
Sundry Creditors |
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Bank | 4,100 | ||
Provident Fund |
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|
|||
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|
|
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||
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||
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Liabilities |
₹ |
Assets |
₹ |
||
Creditors |
10,000 |
Plant and Machinery |
40,000 |
||
General Reserve |
30,000 |
Furniture |
15,000 |
||
Capital A/cs: |
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||
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||
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|||
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Liabilities | Amount (₹) |
Assets | Amount (₹) |
||
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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 |
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X |
7,00,000 |
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60,000 |
14,60,000 |
|||
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