Solving for the percentage — Percentages Aptitude Question
Solving for the percentage: If x% of 200 = 40, what is the value of x? Answer and worked solution on CodeKairo.
- Topic: Percentages
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 35 seconds
Question
If x% of 200 = 40, what is the value of x?
Options
- 8
- 20
- 25
- 40
Show the answer and the worked solution
Correct answer: B. 20
Worked solution
- (x/100) × 200 = 40 → 2x = 40.
- x = 20.
Answer: 20.
The idea
Percent means 'per hundred', so translate the sentence literally into an equation and solve. The value asked for is the percentage itself, not the quantity.
Shortcut. x% of 200 = 200% of x = 2x, so 2x = 40 and x = 20.
Common trap. 40 — copying the result 40 as the percentage, confusing the quantity with the rate.