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Quantitative: Arithmetic and Percentages Flashcards

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

Read the first 7 Quantitative: Arithmetic and Percentages flashcards as text

  1. A trader bought goods for $500 and sold them for $625. What is the profit percentage?

    Answer: 25%

    Profit percentage = (625 − 500) / 500 × 100 = 25%.

  2. If 60% of x equals 30% of y, what is the ratio x : y?

    Answer: 1 : 2

    0.60x = 0.30y simplifies to x/y = 0.30/0.60 = 1/2, so x : y = 1 : 2.

  3. A price decreases by 15% and then increases by 15%. What is the net percentage change?

    Answer: −2.25%

    Net multiplier = 0.85 × 1.15 = 0.9775, representing a 2.25% decrease.

  4. What is 15% of 2/3 of 180?

    Answer: 18

    2/3 of 180 = 120, and 15% of 120 = 0.15 × 120 = 18.

  5. In a class, 40% are boys and 60% are girls. If 50% of boys and 25% of girls play sports, what percentage of the class plays sports?

    Answer: 35%

    40% × 50% + 60% × 25% = 20% + 15% = 35% of the class play sports.

  6. A salesperson earns a base salary of $2,000 plus 5% commission on sales. If she earned $3,500 in a month, what were her total sales?

    Answer: $30,000

    Commission = $3,500 − $2,000 = $1,500; total sales = $1,500 ÷ 0.05 = $30,000.

  7. A tank is 3/4 full after 18 minutes of filling. How many total minutes will it take to fill the entire tank at the same rate?

    Answer: 24

    If 3/4 of the tank takes 18 minutes, the full tank takes 18 × (4/3) = 24 minutes.