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

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:

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