X & Y share profit in 5/9:4/9 ratio. Z is admitted. X gives 2/9 and Y gives 1/3 from their share. Calculate new ratio.
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Explanation:
Solution :
Old Ratio :
X : Y = 5:4
- X's Share = 5/9
- Y's Share = 4/9
Z is admitted,
- X gives = 2/9
- Y gives = 1/3
New share of X =
= 5/9 - 2/9 = 3/9
= 3/9
New Share of Y =
= 4/9 - 1/3 = 4/9 - 3/9
= 1/9
Share of Z =
2/9 + 3/9 = 5/9
= 5/9
New Ratio=
- X : Y : Z
- 3/9 : 1/9 : 5/9
= 3 : 1 : 5
Hence,
New Ratio of X : Y : Z = 3 : 1 : 5
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