Question:
• Quantity A: 54% of 360
• Quantity B: 150
• Quantity A: 54% of 360
• Quantity B: 150
• Quantity B: 150
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For comparison questions, estimation is often faster than exact calculation. Relating the percentage to benchmark values like 10%, 25%, or 50% can save valuable time.
Updated On: Oct 4, 2025
- Quantity A is greater.
- Quantity B is greater.
- The two quantities are equal.
- The relationship cannot be determined from the information given.
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
This question requires comparing a percentage of a number with another number. We can either calculate the exact value or use estimation.
Step 2: Key Formula or Approach:
To find the percentage of a number, we can use the formula:
\[ \text{Percentage Value} = \frac{\text{Percentage}}{100} \times \text{Total Value} \] Alternatively, we can use estimation. Notice that 54% is slightly more than 50% (which is half).
Step 3: Detailed Explanation:
Method 1: Estimation
We know that 50% of 360 is half of 360.
\[ 50% \text{ of } 360 = \frac{1}{2} \times 360 = 180 \] Since 54% is greater than 50%, the value of Quantity A must be greater than 180.
Quantity B is 150.
Since Quantity A $>$ 180 and Quantity B = 150, it is clear that Quantity A is greater.
Method 2: Exact Calculation
\[ \text{Quantity A} = 54% \text{ of } 360 = \frac{54}{100} \times 360 \] \[ = 0.54 \times 360 \] \[ = 194.4 \]
Step 4: Final Answer:
Comparing the two quantities:
\[ 194.4>150 \] Therefore, Quantity A is greater than Quantity B.
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