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Percents, Ratios, and Proportions Flashcards

7 cards from real GRE practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. If a price increases from $80 to $100, what is the percent increase?

    Answer: 25%

    Percent increase = (change / original) × 100 = (20 / 80) × 100 = 25%.

  2. What is 35% of 240?

    Answer: 84

    0.35 × 240 = 84.

  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?

    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.

  4. If 40% of x equals 60, what is x?

    Answer: 150

    0.40x = 60, so x = 60 / 0.40 = 150.

  5. A population grows from 5,000 to 6,500. What is the percent increase?

    Answer: 30%

    Percent increase = (1,500 / 5,000) × 100 = 30%.

  6. If p is 150% of q, then q is what percent of p?

    Answer: 66⅔%

    Since p = 1.5q, q/p = q/(1.5q) = 1/1.5 = 2/3 ≈ 66⅔%.

  7. A jar contains 20 red and 30 blue marbles. If 10 blue marbles are removed, what percent of the remaining marbles are red?

    Answer: 50%

    After removal there are 20 red and 20 blue (40 total); 20/40 = 50%.