GMATPrepNow wrote:

x, y and z are positive. If x percent of y is z, and z percent of x is y, then what is x² percent of 1/10?

A) 1/100

B) 1/10

C) 1

D) 10

E) 100

*Kudos for all correct solutions

\(x\) percent of \(y\) is \(z\) translates to \(\frac{x}{100} * y = z\) -> \(xy = 100z\)

Similarly, \(z\) percent of \(x\) is \(y\). This translates to \(\frac{z}{100} * x = y\) -> \(xz = 100y\)

This is only possible when x=100 and y=z.

Therefore, \(x^2\) percent is 10000th percent of \(\frac{1}{10}\), which is \(\frac{10000}{100} * \frac{1}{10}\) =

10(Option D)
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