Practice Questions
Concept Explanation
Percentage means "per hundred." It expresses a part of a whole as a fraction with denominator 100. Placement papers frequently test fraction-to-percent, decimal-to-percent, and finding a percentage of a quantity.
Core Conversions
- Fraction to %: multiply by 100. Example: 3/4 = 0.75 = 75%.
- Decimal to %: multiply by 100. Example: 0.075 = 7.5%.
- % to fraction: divide by 100. Example: 25% = 25/100 = 1/4.
Finding a Percentage of a Number
x% of N = (x/100) × N. Example: 20% of 450 = (20/100) × 450 = 90.
Reverse: Number from Its Percentage
If x% of a number is V, then number = V × (100/x). Example: 25% of N = 75 → N = 75 × 4 = 300.
What Percent One Number Is of Another
Required % = (part/whole) × 100. Example: 45 is what % of 180? → (45/180) × 100 = 25%.
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 1/3 | 0.333… | 33⅓% |
| 3/8 | 0.375 | 37.5% |
| 2/5 | 0.4 | 40% |
| 5/8 | 0.625 | 62.5% |
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Q1 Easy
What is 3/4 expressed as a percentage?
Explanation3/4 = 0.75. Multiply by 100 to get 75%. -
Q2 Easy
What is 20% of 450?
Explanation20% of 450 = (20/100) × 450 = 90. -
Q3 Easy
If 25% of a number is 75, what is the number?
ExplanationLet the number be N. (25/100) × N = 75, so N = 75 × 4 = 300. -
Q4 Easy
Express 0.075 as a percentage.
Explanation0.075 × 100 = 7.5%. -
Q5 Easy
What percent is 45 of 180?
Explanation(45/180) × 100 = (1/4) × 100 = 25%. -
Q6 Easy
2/5 expressed as a percentage is:
Explanation2/5 = 0.4 = 40%. -
Q7 Medium
What is 15% of 240 plus 10% of 360?
Explanation15% of 240 = 36 and 10% of 360 = 36. Total = 36 + 36 = 72.
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Q8 Medium
If x% of 250 is 40, find x.
Explanation(x/100) × 250 = 40 → x = (40 × 100)/250 = 16. -
Q9 Medium
What is 120% of 350?
Explanation120% of 350 = 1.2 × 350 = 420. -
Q10 Medium
5/8 expressed as a percentage is:
Explanation5/8 = 0.625 = 62.5%. -
Q11 Medium
What is 0.2% of 50,000?
Explanation0.2% of 50,000 = (0.2/100) × 50,000 = 100. -
Q12 Hard
33⅓% of a number is 108. What is the number?
Explanation33⅓% = 1/3. If (1/3) × N = 108, then N = 108 × 3 = 324. -
Q13 Hard
Which fraction is equivalent to 37.5%?
Explanation37.5% = 37.5/100 = 375/1000 = 3/8. -
Q14 Easy
A student scored 108 marks out of 360. What is the percentage score?
Explanation(108/360) × 100 = 30%.
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DS1 Easy
What is the value of N?
Statement IN is 30% of 400.
Statement IIN is 20 more than 100.
ExplanationStatement I: N = 0.30 × 400 = 120. Statement II: N = 100 + 20 = 120. Each statement alone gives N = 120. -
DS2 Medium
What percent is x of y?
Statement Ix = 45.
Statement IIy = 180.
ExplanationRequired value = (x/y) × 100. Statement I gives x but not y; Statement II gives y but not x. Both together give (45/180) × 100 = 25%.
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DS3 Medium
What is the number?
Statement I20% of the number is 84.
Statement IIThe number exceeds 400 by 20.
ExplanationStatement I: N = 84 × 5 = 420. Statement II: N = 420. Each alone is sufficient. -
DS4 Hard
Is the percentage greater than 50%?
Statement IThe decimal equivalent of the percentage is 0.55.
Statement IIThe fraction equivalent is 11/20.
ExplanationStatement I gives 55%. Statement II: 11/20 = 0.55 = 55%. Each alone answers yes.