Practice Questions
Concept Explanation
Comparison questions express one quantity relative to another using percentage language: "A is x% more than B" or "A is x% of B."
Key Translations
- A is 25% more than B → A = 1.25B.
- A is 25% less than B → A = 0.75B.
- A is 40% of B → A = 0.40B.
Comparing Two Percentages
Convert each to a common base or compare the actual values after applying the stated relations.
Placement Tip
When comparing candidates' scores given as fractions of different totals, convert both to percentages first.
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Q1 Easy
A is 25% more than B. If B = 400, what is A?
ExplanationA = 400 + 25% of 400 = 400 + 100 = 500. -
Q2 Easy
X is 20% less than Y. If Y = 250, find X.
ExplanationX = 250 − 20% of 250 = 250 − 50 = 200. -
Q3 Easy
If A is 30% of B and B = 600, what is A?
ExplanationA = 30% of 600 = 180. -
Q4 Medium
Ram's salary is 20% more than Shyam's. If Shyam earns Rs. 15,000, Ram earns:
ExplanationRam = 15,000 × 1.2 = Rs. 18,000. -
Q5 Medium
P is 25% more than Q. Q is what percent of P?
ExplanationIf Q = 100, P = 125. Q as % of P = (100/125) × 100 = 80%. -
Q6 Medium
In an exam, Amit scored 30% more marks than Bhavna. If Bhavna scored 280, Amit scored:
ExplanationAmit = 280 × 1.3 = 364. -
Q7 Easy
A number is 40% of another number. The smaller number is what percent of the larger?
ExplanationIf smaller = 40% of larger, then smaller is 40% of larger by definition.
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Q8 Easy
Price of item A is 20% more than item B. Price of B is Rs. 500. Price of A is:
ExplanationA = 500 × 1.2 = Rs. 600. -
Q9 Medium
If X is 15% less than Y and Y = 800, then X is:
ExplanationX = 800 × 0.85 = 680. -
Q10 Hard
A is 50% more than B. B is 20% of C. If C = 500, find A.
ExplanationB = 20% of 500 = 100. A = 100 × 1.5 = 150. -
Q11 Hard
Student P scored 20% more than Q. Q scored 25% more than R. P scored how much more than R?
ExplanationP = 1.2Q and Q = 1.25R → P = 1.2 × 1.25R = 1.5R → 50% more than R. -
Q12 Hard
A is 10% more than B and B is 10% less than C. If C = 1,000, find A.
ExplanationB = 0.9 × 1,000 = 900. A = 1.1 × 900 = 990. -
Q13 Medium
In a class, boys are 20% more than girls. If there are 240 girls, how many boys are there?
ExplanationBoys = 240 × 1.2 = 288. -
Q14 Hard
If A is 80% of B, then B is what percent of A?
ExplanationIf A = 0.8B, then B = A/0.8 = 1.25A → 125%.
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DS1 Easy
What is the value of A?
Statement IA is 25% more than B.
Statement IIB = 400.
ExplanationA = 400 × 1.25 = 500. Both statements are needed. -
DS2 Medium
Is A greater than B?
Statement IA is 20% of B.
Statement IIB = 500.
ExplanationStatement I: A = 0.2B, so A 0. That alone answers the question. Statement II alone gives no comparison.
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DS3 Medium
What is the value of X?
Statement IX is 15% less than Y.
Statement IIY is 20% more than 500.
ExplanationY = 500 × 1.2 = 600. X = 600 × 0.85 = 510. Both needed. -
DS4 Easy
What percent is the smaller of the larger?
Statement IThe smaller is 40% of the larger.
Statement IIThe larger value is 750.
ExplanationStatement I alone gives 40%. Statement II gives the larger value but not the relationship.