Question

Which of the following is true? \[ \text{Quantity A: } x, \text{ where } x \text{ is 65\% of 408.} \] \[ \text{Quantity B: } y, \text{ where } y \text{ is 40\% of 663.} \]

• A. Quantity A is greater.
• B. A comparison cannot be determined from the given information.
• C. The two quantities are equal.
• D. Quantity B is greater.

Hint:

When comparing percentages, always calculate the exact values and compare them to make a valid judgment.

Answer 1

The Correct Option is A

Step 1: Calculate Quantity A.
\[ x = 65% \text{ of } 408 = 0.65 \times 408 = 265.2 \]
Step 2: Calculate Quantity B.
\[ y = 40% \text{ of } 663 = 0.40 \times 663 = 265.2 \]
Step 3: Comparison.
Since both quantities are equal, the correct answer is:

Final Answer: \[ \boxed{\text{The two quantities are equal.}} \]