GRE Percents, Ratios, and Proportions 1 — Questions and Answers
Question 1: If a price increases from $80 to $100, what is the percent increase?
- 20%
- 25% (Correct answer)
- 80%
- 125%
Correct answer: 25%
Percent increase = (change / original) × 100 = (20 / 80) × 100 = 25%.
Question 2: What is 35% of 240?
- 68.4
- 84 (Correct answer)
- 96
- 108
Correct answer: 84
0.35 × 240 = 84.
Question 3: A store discounts an item by 20%, then discounts the sale price by an additional 10%. What is the total percent reduction from the original price?
- 28% (Correct answer)
- 30%
- 32%
- 27%
Correct answer: 28%
After the two discounts, the price is 0.80 × 0.90 = 0.72, or 72% of the original, giving a 28% total reduction.
Question 4: If 40% of x equals 60, what is x?
- 24
- 100
- 150 (Correct answer)
- 240
Correct answer: 150
0.40x = 60, so x = 60 / 0.40 = 150.
Question 5: A population grows from 5,000 to 6,500. What is the percent increase?
- 23%
- 25%
- 30% (Correct answer)
- 33%
Correct answer: 30%
Percent increase = (1,500 / 5,000) × 100 = 30%.
Question 6: If p is 150% of q, then q is what percent of p?
- 50%
- 66⅔% (Correct answer)
- 75%
- 150%
Correct answer: 66⅔%
Since p = 1.5q, q/p = q/(1.5q) = 1/1.5 = 2/3 ≈ 66⅔%.
Question 7: A jar contains 20 red and 30 blue marbles. If 10 blue marbles are removed, what percent of the remaining marbles are red?
- 40%
- 50% (Correct answer)
- 25%
- 33%
Correct answer: 50%
After removal there are 20 red and 20 blue (40 total); 20/40 = 50%.
GRE Percents, Ratios, and Proportions 1
If a price increases from $80 to $100, what is the percent increase?