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GRE Percentages Questions
Practise percentages (quantitative aptitude) for the GRE General 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.Two successive discounts of 20% and 5% are equivalent to a single discount of:
Show answer & explanation
Answer: D — 24%
Net discount = a + b − ab/100 = 20 + 5 − 20×5/100 = 24%.
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Q2.Two successive discounts of 20% and 15% are equivalent to a single discount of:
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Answer: B — 32%
Net discount = a + b − ab/100 = 20 + 15 − 20×15/100 = 32%.
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Q3.Two successive discounts of 30% and 12% are equivalent to a single discount of:
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Answer: A — 38.4%
Net discount = a + b − ab/100 = 30 + 12 − 30×12/100 = 38.4%.
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Q4.The price of an item changes from $975 to $877.5. What is the percentage change?
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Answer: C — 10% decrease
Change = -97.5 on a base of 975: -97.5/975 × 100 = 10% decrease. Always divide by the ORIGINAL value.
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Q5.The price of an item changes from $475 to $617.5. What is the percentage change?
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Answer: A — 30% increase
Change = 142.5 on a base of 475: 142.5/475 × 100 = 30% increase. Always divide by the ORIGINAL value.
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Q6.The price of an item changes from $175 to $210. What is the percentage change?
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Answer: A — 20% increase
Change = 35 on a base of 175: 35/175 × 100 = 20% increase. Always divide by the ORIGINAL value.
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Q7.Two successive discounts of 15% and 12% are equivalent to a single discount of:
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Answer: D — 25.2%
Net discount = a + b − ab/100 = 15 + 12 − 15×12/100 = 25.2%.
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Q8.What is 18% of 140?
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Answer: B — 25.2
18% of 140 = 18/100 × 140 = 25.2.
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Q9.The price of an item changes from $300 to $390. What is the percentage change?
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Answer: D — 30% increase
Change = 90 on a base of 300: 90/300 × 100 = 30% increase. Always divide by the ORIGINAL value.
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Q10.The price of an item changes from $550 to $605. What is the percentage change?
Show answer & explanation
Answer: B — 10% increase
Change = 55 on a base of 550: 55/550 × 100 = 10% increase. Always divide by the ORIGINAL value.
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 GRE
GRE General Test — conducted by Educational Testing Service (ETS). Graduate admission test with Verbal Reasoning, Quantitative Reasoning and Analytical Writing.
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.
GRE practice topics
| Topic | Section | Question source |
|---|---|---|
| Percentages | 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) |
| Probability & Combinatorics | Mathematics | Calculated (new numbers every set) |
| Vocabulary & Idioms | English | Question bank |