If X% of Y is 100 and Y% of Z is 200, find a relation between X and Z.Z=X/2Z=2XX=Z/4Z=4X
Question
If X% of Y is 100 and Y% of Z is 200, find a relation between X and Z.
Z = X / 2
Z = 2X
X = Z / 4
Z = 4X
Solution
From the given, we have two equations:
-
X% of Y = 100, which can be written as (X/100)*Y = 100. Simplifying this, we get X = 10000/Y.
-
Y% of Z = 200, which can be written as (Y/100)*Z = 200. Simplifying this, we get Y = 20000/Z.
Substituting the value of Y from equation 2 into equation 1, we get X = 10000/(20000/Z), which simplifies to X = Z/2.
So, the relation between X and Z is X = Z/2 or Z = 2X.
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