Question

If $A = x%$ of $y$ and $B = y%$ of $x$, then which of the following is true?

• A. $A>B$
• B. $B>A$
• C. $A = B$
• D. If $x>y$ then $A>B$

Hint:

$x%$ of $y$ is always equal to $y%$ of $x$.

Answer 1

The Correct Option is C

Concept: Convert percentages into fractions.
Step 1: Express $A$ and $B$.
\[ A = \frac{x}{100} \cdot y = \frac{xy}{100} \] \[ B = \frac{y}{100} \cdot x = \frac{xy}{100} \]
Step 2: Compare.
\[ A = B \]
Hence, both values are equal.