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CAT Percentages Questions
Practise percentages (quantitative aptitude) for the Common Admission Test: 10 multiple-choice questions, each with the correct answer and a worked explanation. Click an option to check it, or “New questions” for another set.
Percentages practice
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Q1.What is 20% of 360?
Show answer & explanation
Answer: A — 72
20% of 360 = 20/100 × 360 = 72.
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Q2.The price of an item changes from ₹500 to ₹540. What is the percentage change?
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Answer: D — 8% increase
Change = 40 on a base of 500: 40/500 × 100 = 8% increase. Always divide by the ORIGINAL value.
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Q3.The price of an item changes from ₹925 to ₹740. What is the percentage change?
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Answer: D — 20% decrease
Change = -185 on a base of 925: -185/925 × 100 = 20% decrease. Always divide by the ORIGINAL value.
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Q4.What is 40% of 160?
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Answer: C — 64
40% of 160 = 40/100 × 160 = 64.
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Q5.The price of an item changes from ₹825 to ₹907.5. What is the percentage change?
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Answer: A — 10% increase
Change = 82.5 on a base of 825: 82.5/825 × 100 = 10% increase. Always divide by the ORIGINAL value.
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Q6.Two successive discounts of 30% and 15% are equivalent to a single discount of:
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Answer: A — 40.5%
Net discount = a + b − ab/100 = 30 + 15 − 30×15/100 = 40.5%.
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Q7.Two successive discounts of 15% and 10% are equivalent to a single discount of:
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Answer: A — 23.5%
Net discount = a + b − ab/100 = 15 + 10 − 15×10/100 = 23.5%.
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Q8.Two successive discounts of 15% and 5% are equivalent to a single discount of:
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Answer: D — 19.25%
Net discount = a + b − ab/100 = 15 + 5 − 15×5/100 = 19.25%.
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Q9.The price of an item changes from ₹600 to ₹660. What is the percentage change?
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Answer: B — 10% increase
Change = 60 on a base of 600: 60/600 × 100 = 10% increase. Always divide by the ORIGINAL value.
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Q10.Two successive discounts of 25% and 12% are equivalent to a single discount of:
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Answer: B — 34%
Net discount = a + b − ab/100 = 25 + 12 − 25×12/100 = 34%.
How to approach percentages questions
Convert percentages to fractions you know by heart (12.5% = 1/8, 37.5% = 3/8, 16.67% = 1/6) and always divide a change by the ORIGINAL value. Two successive changes of a% and b% combine to a + b + ab/100.
About CAT
Common Admission Test — conducted by Indian Institutes of Management (convening IIM rotates). The entrance exam for IIM MBA programmes, with VARC, DILR and Quantitative Ability sections.
Original practice questions written for this site in the style and difficulty of each exam’s syllabus. They are not past papers and the site is not affiliated with any exam body. Exam patterns, marking schemes and syllabi change — always check the latest official notification.
CAT practice topics
| Topic | Section | Question source |
|---|---|---|
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Ratio, Ages & Mixtures | Quantitative aptitude | Calculated (new numbers every set) |
| Time, Work & Pipes | Quantitative aptitude | Calculated (new numbers every set) |
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Data Interpretation | Data interpretation | Calculated (new numbers every set) |
| Verbal Reasoning & Analogies | Reasoning | Calculated + question bank |