This question requires simplifying a mathematical expression involving percentages.

Simplify Percentage Expression

The expression given is $(x\% \text{ of } y) + (y \% \text{ of } x)$. Let's break it down step-by-step:

Step 1: Convert Percentages to Fractions

Recall that $a\%$ is equivalent to $\frac{a}{100}$. Applying this:

• $x\% \text{ of } y = \frac{x}{100} \times y = \frac{xy}{100}$
• $y\% \text{ of } x = \frac{y}{100} \times x = \frac{yx}{100} = \frac{xy}{100}$

Step 2: Add the Terms

Now, add the results from Step 1:

$ \frac{xy}{100} + \frac{xy}{100} $

Step 3: Combine and Simplify

Adding the two fractions gives:

$ \frac{xy + xy}{100} = \frac{2xy}{100} $

Step 4: Express as a Percentage

The simplified term $\frac{2xy}{100}$ can be written back in percentage form. This is equivalent to $2\%$ of $xy$, because:

$ 2\% \text{ of } xy = \frac{2}{100} \times xy = \frac{2xy}{100} $

Thus, the original expression is equivalent to $2\%$ of $xy$.