A percentage of a percentage — Percentages Aptitude Question
A percentage of a percentage: 25% of 25% of a quantity is 25. What is the quantity? Answer and worked solution on CodeKairo.
- Topic: Percentages
- Section: Quantitative Aptitude
- Difficulty: Easy
- Time target: 45 seconds
Question
25% of 25% of a quantity is 25. What is the quantity?
Options
- 100
- 200
- 400
- 625
Show the answer and the worked solution
Correct answer: C. 400
Worked solution
- 0.25 × 0.25 = 0.0625.
- 0.0625 × Q = 25 → Q = 25 ÷ 0.0625 = 400.
Answer: 400.
The idea
Percentages of percentages multiply, they do not add. Collapse the chain to a single factor before dividing.
Shortcut. 25% of 25% is 1/4 × 1/4 = 1/16, so the quantity is 16 × 25 = 400.
Common trap. 100 — undoing only one of the two 25% steps (25 × 4) and stopping.