1. X & Y share profit in 5/9:4/9 ratio. Z is admitted. X gives 2/9 and Y gives 3 1/3 from their share. Calculate new ratio.
Answers
Answered by
5
Solution :
X's old share= 3/5
Y's old share= 2/5
Z is admitted for 1/4th share
Sacrificing ratio is 2:1
Z acquired 2/3 * 1/4 = 2/12 from X
Z acquired 1/3 * 1/4 = 1/12 from Y
Hence,
X's new ratio= 3/5-2/12
= 26/60
Y's new ratio= 2/5-1/12
= 19/60
Z's share= 15/60
New Profit sharing ratio= 26:19:15
Answered by
5
Explanation:
Correct Question :
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.
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= X : Y : Z = 3 : 1 : 5
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