Problem Solving & Data Analysis

Percentages and Percent Change

Compute percent of, percent change, and successive percent operations. Each question below has a complete worked solution.

This collection of 25 SAT math practice questions on percentages and percent change is sequenced by difficulty so you can warm up on routine problems and progress to the kind of question that separates a competitive math score from an elite one. The first eight problems are calibrated to roughly easy College Board difficulty — the kind that appears in the first third of the math section. The next ten are medium difficulty: the bread-and-butter of the middle of the test. The final seven push into hard territory, where the question writers add an extra step, hide a sign change, or ask for an unrelated expression after you solve.

Work each question on paper before you look at the worked solution. The solution is there to confirm or correct your work, not to lead you. If you cannot start a problem after 30 seconds, mark it and come back; if you cannot finish after 90 seconds, look at the first line of the solution and try again. That structured exposure to the worked solution — not a glance, not a copy — is the most reliable way to convert a missed question into a permanent skill.

#QuestionDifficultyBand
1 A laptop originally priced at $335 is increased by 25%. What is the new price? easy 400-500 Open
2 A jacket originally priced at $415 is marked down by 20%. What is the sale price? easy 400-500 Open
3 A stock priced at $960 rises by 15% in one week, then falls by 15% the next week. What is the final … easy 400-500 Open
4 A laptop originally priced at $795 is increased by 25%. What is the new price? easy 400-500 Open
5 A jacket originally priced at $870 is marked down by 35%. What is the sale price? easy 400-500 Open
6 A stock priced at $690 rises by 35% in one week, then falls by 35% the next week. What is the final … easy 400-500 Open
7 A laptop originally priced at $750 is increased by 25%. What is the new price? easy 500-600 Open
8 A jacket originally priced at $640 is marked down by 40%. What is the sale price? easy 500-600 Open
9 A stock priced at $750 rises by 20% in one week, then falls by 20% the next week. What is the final … medium 500-600 Open
10 A laptop originally priced at $495 is increased by 15%. What is the new price? medium 500-600 Open
11 A jacket originally priced at $650 is marked down by 10%. What is the sale price? medium 500-600 Open
12 A stock priced at $890 rises by 25% in one week, then falls by 25% the next week. What is the final … medium 500-600 Open
13 A laptop originally priced at $125 is increased by 20%. What is the new price? medium 600-700 Open
14 A jacket originally priced at $825 is marked down by 15%. What is the sale price? medium 600-700 Open
15 A stock priced at $180 rises by 15% in one week, then falls by 15% the next week. What is the final … medium 600-700 Open
16 A laptop originally priced at $795 is increased by 35%. What is the new price? medium 600-700 Open
17 A jacket originally priced at $665 is marked down by 25%. What is the sale price? medium 600-700 Open
18 A stock priced at $425 rises by 25% in one week, then falls by 25% the next week. What is the final … medium 600-700 Open
19 A laptop originally priced at $910 is increased by 15%. What is the new price? hard 600-700 Open
20 A jacket originally priced at $895 is marked down by 20%. What is the sale price? hard 700-800 Open
21 A stock priced at $935 rises by 20% in one week, then falls by 20% the next week. What is the final … hard 700-800 Open
22 A laptop originally priced at $920 is increased by 20%. What is the new price? hard 700-800 Open
23 A jacket originally priced at $590 is marked down by 10%. What is the sale price? hard 700-800 Open
24 A stock priced at $445 rises by 15% in one week, then falls by 15% the next week. What is the final … hard 700-800 Open
25 A laptop originally priced at $410 is increased by 15%. What is the new price? hard 700-800 Open