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Question
R and S are partners sharing profits in the ratio of 5 : 3. T joins the firm as a new partner. R gives 1/4th of his share and S gives 1/5th of his share to the new partner. Find out new profit-sharing ratio.
Solution
Old Ratio = R : S
= 5 : 3
Sacrificing Ratio = Old Ratio × Surrender Ratio
R's = `5/8 xx 1/4 = 5/32`
S's = `3/8 xx 1/5 = 3/40`
New Ratio = Old Ratio − Sacrificing Ratio
R's = `5/8 - 5/32 = 15/32`
S's = `3/8 - 3/40 = 12/40`
T's share = R's sacrifice + S's Sacrifice
= `5/32 + 3/40 = [ 25 + 12 ]/160 = 37/160`
New Profit Sharing Ratio = R : S : T
= `15/32 : 12/40 : 37/160`
= `[ 75 : 48 : 37]/160`
∴New Profit Sharing Ratio = 75 : 48 : 37
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Liabilities |
Amount (₹) |
Assets |
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Bank | 7,600 | ||
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|||
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Liabilities |
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Assets |
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|
Liabilities |
₹ |
Assets |
₹ |
||
|
Sundry Creditors |
40,000 |
Goodwill |
25,000 |
||
|
Bills Payable |
15,000 |
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1,00,000 |
||
|
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30,000 |
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|
Capital A/cs: |
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| S |
1,25,000 |
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| T |
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|
4,35,000 |
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||||
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|
Liabilities |
Amount |
Assets |
Amount |
|
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||
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Amount (₹) |
Assets |
Amount (₹) |
|
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