Discussion
(x % of y) + (y % of x) is equivalent to ______.
Answer: A
The sum is 2 % of xy.
Write each percentage as a fraction of 100:
\[ \begin{aligned} \frac{x}{100}y + \frac{y}{100}x &= \frac{2xy}{100} \\ &= 2\% \text{ of } xy \end{aligned} \]
'2 % of (xy/100)' divides by 100 a second time, giving \(2xy/10^{4}\). 'xy % of 100' equals \(xy\), and '100 % of xy' is also \(xy\); both are 50 times too large. A quick check with \(x = y = 10\): 10% of 10 plus 10% of 10 is 2, and 2% of 100 is 2.
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