Question : If a number is increased by 25% and the resulting number is decreased by 25%, then the percentage increase or decrease finally is:
Option 1: no change
Option 2: decreased by $6\tfrac{1}{4}$%
Option 3: increased by $6\tfrac{1}{4}$%
Option 4: increased by $6$%
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: decreased by $6\tfrac{1}{4}$%
Solution :
Given: A number is increased by 25%.
The resulting number is decreased by 25%.
Let the number be 100.
Increased by 25% = (100 + 25) = 125
125 is decreased by 25%, then it becomes = $125×\frac{75}{100}$ = $\frac{375}{4}$
So, the required decrease percentage $=(\frac{100-\frac{375}{4}}{100}) ×100$%
= $\frac{25}{4}$%
= $6\tfrac{1}{4}$%
Hence, the correct answer is 'decreased by $6\tfrac{1}{4}$%'.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
