PREVIOUSLY ASKED IN:
PSC Miscellaneous 2012
Answer
28 4/7% (approx 28.57%)
Explanation
If the increase is 40%, then the required percentage decrease to restore the original length = (increase / (100 + increase)) * 100 = (40 / 140) * 100 = 2/7 * 100 = 28 4/7%.
Key Points
- > The formula is (r/100+r) * 100
- > Here r = 40
- > Calculation results in 28 4/7%
Additional Information
- This math problem is based on the formula for percentage increase and decrease.
- 4/7 is approximately 0.571, so 28.57%.
- This is a well-known problem in competitive exams.
| Subject | Value |
|---|---|
| Increase | 40% |
| Formula | r/(100+r) * 100 |
| Result | 28 4/7% |