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SAT Percentages Questions
Practise percentages (quantitative aptitude) for the SAT (Digital): 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 30% and 20% are equivalent to a single discount of:
Show answer & explanation
Answer: D — 44%
Net discount = a + b − ab/100 = 30 + 20 − 30×20/100 = 44%.
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Q2.What is 60% of 520?
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Answer: D — 312
60% of 520 = 60/100 × 520 = 312.
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Q3.What is 5% of 780?
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Answer: A — 39
5% of 780 = 5/100 × 780 = 39.
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Q4.Two successive discounts of 25% and 12% are equivalent to a single discount of:
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Answer: A — 34%
Net discount = a + b − ab/100 = 25 + 12 − 25×12/100 = 34%.
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Q5.The price of an item changes from $125 to $137.5. What is the percentage change?
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Answer: A — 10% increase
Change = 12.5 on a base of 125: 12.5/125 × 100 = 10% increase. Always divide by the ORIGINAL value.
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Q6.The price of an item changes from $425 to $488.75. What is the percentage change?
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Answer: C — 15% increase
Change = 63.75 on a base of 425: 63.75/425 × 100 = 15% increase. Always divide by the ORIGINAL value.
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Q7.What is 5% of 520?
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Answer: D — 26
5% of 520 = 5/100 × 520 = 26.
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Q8.The price of an item changes from $575 to $460. What is the percentage change?
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Answer: B — 20% decrease
Change = -115 on a base of 575: -115/575 × 100 = 20% decrease. Always divide by the ORIGINAL value.
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Q9.Two successive discounts of 15% and 20% are equivalent to a single discount of:
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Answer: D — 32%
Net discount = a + b − ab/100 = 15 + 20 − 15×20/100 = 32%.
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Q10.What is 60% of 560?
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Answer: D — 336
60% of 560 = 60/100 × 560 = 336.
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 SAT
SAT (Digital) — conducted by College Board. The US college admission test with Reading & Writing and Math sections, now delivered digitally.
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.
SAT practice topics
| Topic | Section | Question source |
|---|---|---|
| Algebra | Mathematics | Calculated (new numbers every set) |
| Geometry & Mensuration | Mathematics | Calculated (new numbers every set) |
| Percentages | Quantitative aptitude | Calculated (new numbers every set) |
| Averages & Statistics | Quantitative aptitude | Calculated (new numbers every set) |
| English Grammar | English | Question bank |
| Vocabulary & Idioms | English | Question bank |