Two successive percentage decreases of 25% each is by what percentage less than two successive percentage increase of 25% each (Round to two decimal places.)
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 22.22%.
Two successive percentage decreases of 25% each = 25 + 25 - (25 × 25)/100 = 25 + 25 - 6.25 = 43.75%
Two successive percentage increase of 25% each = 25 + 25 + (25 × 25)/100 = 25 + 25 + 6.25 = 56.25%
Difference = 56.25% - 43.75% = 12.5%
Required percentage = (12.5/56.25) × 100 = 22.22...% = 22.22% (approx)
Therefore, the required percentage is 22.22%.