Instead of increasing a number by 25%, a student decreased that number by 25% and then increased the obtained number by 25%. By what percentage is the answer less than the original number?
Show answer & explanation
Correct answer: A
Explanation
Given:
Number = 100
After subtracting 25% = 100 − 25 = 75
Then, after increasing by 25% = 75 + (25% of 75) = 75 + 18.75 = 93.75
Difference = 100 − 93.75 = 6.25
Percentage decrease = (6.25 / 100) × 100 = 6.25%