Percentage comparison task: By how much is 12% of 24.2 greater than 10% of 14.2?

Difficulty: Easy

Correct Answer: 1.484

Explanation:


Introduction / Context:
This problem checks fluency with percentages and decimal arithmetic. We compare two percentage amounts and report how much the first exceeds the second. Such comparisons appear often in finance and data analysis.



Given Data / Assumptions:

  • Compute 12% of 24.2.
  • Compute 10% of 14.2.
  • Report difference first amount minus second amount.


Concept / Approach:
Convert percent to decimal using p% = p/100. Then multiply by the base quantity. Finally subtract to find how much one value is greater than the other.



Step-by-Step Solution:

12% of 24.2 = 0.12 * 24.2 = 2.90410% of 14.2 = 0.10 * 14.2 = 1.42Difference = 2.904 − 1.42 = 1.484


Verification / Alternative check:
Use fraction form if preferred: 12/100 * 24.2 = 2.904 and 10/100 * 14.2 = 1.42. Subtraction confirms 1.484 with no rounding issues.



Why Other Options Are Wrong:
0.1484 is off by a factor of 10. 14.84 misplaces the decimal by two places. 2.762 results from adding rather than subtracting. None of the above does not match because an exact value exists among the options.



Common Pitfalls:
Placing the decimal incorrectly when converting percent to decimal, swapping the bases, or computing the relative percent instead of the absolute difference.



Final Answer:
1.484

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