GMAT Quantitative: Arithmetic and Percentages

Question 1

What is 30% of 450?

Accepted Answer

135

Answer

30% of 450 = 0.30 × 450 = 135.

Question 2

A store marks up its goods by 40% and then offers a 25% discount. What is the net change in price?

Accepted Answer

5% increase

Answer

The net multiplier is 1.40 × 0.75 = 1.05, which represents a 5% increase over the original price.

Question 3

If 3/8 of a number is 45, what is 5/6 of that number?

Accepted Answer

100

Answer

The number = 45 × (8/3) = 120, and 5/6 × 120 = 100.

Question 4

A number is increased by 20% and then decreased by 20%. What is the net result?

Accepted Answer

4% decrease

Answer

The net multiplier is 1.20 × 0.80 = 0.96, which is a 4% decrease from the original.

Question 5

What fraction of 2/5 is 4/15?

Accepted Answer

2/3

Answer

(4/15) ÷ (2/5) = (4/15) × (5/2) = 20/30 = 2/3.

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