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May 29, 2023

Which of the following is equal to $(x % + y %) \times z %$ ?

$\frac{z x + z y}{100}$

$\frac{x + y + z}{100}$

$\frac{x + y + z}{10, 000}$

$\frac{x + z y}{10, 000}$

$\frac{z x + z y}{10, 000}$

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Scott Woodbury-Stewart Founder and Expert GMAT Instructor

Text Solution:

Since we see that the answer choices are in fraction form, we know to convert our percents to fractions and then combine. Thus, we have:

$\begin{array}{l} \Rightarrow (x % + y %) \times z % \\ \Rightarrow (\frac{x}{100} + \frac{y}{100}) \times \frac{z}{100} \\ \Rightarrow \frac{x + y}{100} \times \frac{z}{100} \\ \Rightarrow \frac{z x + z y}{10, 000} \end{array}$

Correct answer: E

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