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 EasyA is 20% more than B. If B = 50, find A.ExplanationA = B + 20% of B = 50 + 10 = 60.
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Q2 EasyB is 15% less than C. If C = 200, find B.ExplanationB = C − 15% of C = 200 − 30 = 170.
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Q3 EasyA is 25% more than B. If B = 400, what is A?ExplanationA = 400 + 25% of 400 = 400 + 100 = 500.
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Q4 EasyX is 20% less than Y. If Y = 250, find X.ExplanationX = 250 − 20% of 250 = 250 − 50 = 200.
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Q5 EasyIf A is 30% of B and B = 600, what is A?ExplanationA = 30% of 600 = 180.
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Q6 EasyPrice 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.
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Q7 MediumP is 25% more than Q. Q is what percent of P?ExplanationIf Q = 100, P = 125. Q as % of P = (100/125) × 100 = 80%.
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Q8 MediumA is 20% more than B. B is 25% less than C. A is what percent of C?ExplanationB = 0.75C and A = 1.2B = 1.2 × 0.75C = 0.9C → A is 90% of C.
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Q9 MediumRam's salary is 20% more than Shyam's. If Shyam earns Rs. 15,000, Ram earns:ExplanationRam = 15,000 × 1.2 = Rs. 18,000.
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Q10 MediumIn an exam, Amit scored 30% more marks than Bhavna. If Bhavna scored 280, Amit scored:ExplanationAmit = 280 × 1.3 = 364.
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Q11 MediumIf X is 15% less than Y and Y = 800, then X is:ExplanationX = 800 × 0.85 = 680.
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Q12 HardIf 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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Q13 HardA 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.
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Q14 HardStudent 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.
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DS1 Easy
Two quantities A and B are related by a percentage comparison. What is the value of A?
Statement IA is 25% more than B.
Statement IIB = 400.
ExplanationA = 400 × 1.25 = 500. Statement I gives the relation; Statement II gives B. Both are needed. -
DS2 Easy
Two numbers are compared where the smaller is expressed as a percentage of the larger. What percent is the smaller of the larger?
Statement IThe smaller number is 40% of the larger number.
Statement IIThe larger number is 750.
ExplanationStatement I alone gives 40%. Statement II gives the larger value but not the percentage relationship.
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DS3 Medium
Two quantities A and B are given. Is A greater than B?
Statement IA is 20% of B.
Statement IIB = 500.
ExplanationStatement I: A = 0.2B, so A is less than B when B > 0. That alone answers No. Statement II only gives B without the relation. -
DS4 Medium
Quantities X and Y are linked through another quantity. 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. Statement I gives X in terms of Y; Statement II gives Y. Both are required.