Compare two computed quantities: By how much is 30% of 80 greater than four-fifths of 25?

Difficulty: Easy

Correct Answer: 4

Explanation:


Introduction / Context:
This question compares two simple computed values: a percentage of one number and a fraction of another. The task is to find the absolute difference and identify by how much the first exceeds the second.


Given Data / Assumptions:

  • Quantity 1: 30% of 80.
  • Quantity 2: 4/5 of 25.
  • We require Quantity 1 − Quantity 2.


Concept / Approach:
Evaluate each expression separately using standard percent and fraction conversions, then subtract. Keep arithmetic tidy to avoid sign mistakes.


Step-by-Step Solution:

30% of 80 = 0.30 * 80 = 24.4/5 of 25 = (0.8) * 25 = 20.Difference = 24 − 20 = 4.


Verification / Alternative check:
As mental math: 10% of 80 is 8, so 30% is 3 * 8 = 24. Meanwhile, 1/5 of 25 is 5, so 4/5 is 4 * 5 = 20. The difference is 4.


Why Other Options Are Wrong:

  • 2, 10, 15 are not equal to the computed difference 4.
  • 0 would require the two quantities to be equal, which they are not.


Common Pitfalls:
Mixing up percent of 80 (using 0.8 instead of 0.30) or miscomputing four-fifths of 25. Work carefully with each conversion.


Final Answer:
4

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