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UPSC CDS Percentages Questions
Practise percentages (quantitative aptitude) for the Combined Defence Services Examination: 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 5% of 580?
Show answer & explanation
Answer: A — 29
5% of 580 = 5/100 × 580 = 29.
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Q2.What is 75% of 900?
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Answer: C — 675
75% of 900 = 75/100 × 900 = 675.
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Q3.The price of an item changes from ₹900 to ₹828. What is the percentage change?
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Answer: A — 8% decrease
Change = -72 on a base of 900: -72/900 × 100 = 8% decrease. Always divide by the ORIGINAL value.
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Q4.Two successive discounts of 20% and 12% are equivalent to a single discount of:
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Answer: C — 29.6%
Net discount = a + b − ab/100 = 20 + 12 − 20×12/100 = 29.6%.
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Q5.Two successive discounts of 20% and 20% are equivalent to a single discount of:
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Answer: A — 36%
Net discount = a + b − ab/100 = 20 + 20 − 20×20/100 = 36%.
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Q6.The price of an item changes from ₹850 to ₹935. What is the percentage change?
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Answer: A — 10% increase
Change = 85 on a base of 850: 85/850 × 100 = 10% increase. Always divide by the ORIGINAL value.
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Q7.The price of an item changes from ₹250 to ₹312.5. What is the percentage change?
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Answer: A — 25% increase
Change = 62.5 on a base of 250: 62.5/250 × 100 = 25% increase. Always divide by the ORIGINAL value.
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Q8.The price of an item changes from ₹825 to ₹660. What is the percentage change?
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Answer: A — 20% decrease
Change = -165 on a base of 825: -165/825 × 100 = 20% decrease. Always divide by the ORIGINAL value.
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Q9.What is 85% of 360?
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Answer: C — 306
85% of 360 = 85/100 × 360 = 306.
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Q10.Two successive discounts of 30% and 5% are equivalent to a single discount of:
Show answer & explanation
Answer: A — 33.5%
Net discount = a + b − ab/100 = 30 + 5 − 30×5/100 = 33.5%.
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 UPSC CDS
Combined Defence Services Examination — conducted by Union Public Service Commission (UPSC). Selects officers for the Indian Military Academy, Naval Academy, Air Force Academy and Officers’ Training Academy.
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.
UPSC CDS practice topics
| Topic | Section | Question source |
|---|---|---|
| English Grammar | English | Question bank |
| Vocabulary & Idioms | English | Question bank |
| Indian Polity, History & Geography | General awareness | Question bank |
| Physics | Science | Calculated + question bank |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |