Question:
Which of the following is true? \[ \text{Quantity A: } x, \text{ where } x \text{ is 65\% of 408.} \] \[ \text{Quantity B: } y, \text{ where } y \text{ is 40\% of 663.} \]
Which of the following is true? \[ \text{Quantity A: } x, \text{ where } x \text{ is 65\% of 408.} \] \[ \text{Quantity B: } y, \text{ where } y \text{ is 40\% of 663.} \]
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When comparing percentages, always calculate the exact values and compare them to make a valid judgment.
Updated On: Sep 30, 2025
- Quantity A is greater.
- A comparison cannot be determined from the given information.
- The two quantities are equal.
- Quantity B is greater.
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The Correct Option is A
Solution and Explanation
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: \[ \boxed{\text{The two quantities are equal.}} \]
\[ x = 65% \text{ of } 408 = 0.65 \times 408 = 265.2 \]
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: \[ \boxed{\text{The two quantities are equal.}} \]
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