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प्रश्न
X, Y and Z were partners sharing profits in the ratio of 4/9 : 3/9 : 2/9. X retires and his share was taken up by Y and Z in the ratio of 2 : 1. Find out the new ratio.
संख्यात्मक
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उत्तर
1. Calculate the share gained by remaining partners:
X's retiring share = `4/9`
Share taken by Y = `4/9 xx 2/3 = 8/27`
Share taken by Z = `4/9 xx 1/3 = 4/27`
2. Calculate the new share of Y and Z:
Y's New Share = Old Share + Gained Share
`3/9 + 8/27 = 9/27 + 8/27 = 17/27`
Z's New Share = Old Share + Gained Share
`2/9 + 4/27 = 6/27 = 4/27 = 10/27`
New Ratio = 17 : 10
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