GRE · Quantitative Reasoning

Arithmetic and percents

15 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 15 questions

What is $20%$ of $240$ ?
What is $20%$ of $150$ ?
What is $20%$ of $120$ ?
What is $45%$ of $120$ ?
What is $60%$ of $120$ ?
A price rises by $10%$ and then falls by $25%$ . What is the net percent change from the original price?
A price rises by $25%$ and then falls by $25%$ . What is the net percent change from the original price?
A price rises by $25%$ and then falls by $40%$ . What is the net percent change from the original price?
A price rises by $50%$ and then falls by $25%$ . What is the net percent change from the original price?
A $40$ -liter salt solution is $15%$ salt by volume. How many liters of water must evaporate for the solution to become $20%$ salt?
A retailer buys an item for $\$ 250 $, ma r k s i t u p$ 40\%$ above cost, and then sells it at $15\%$ below the marked price. The retailer's profit is what percent of the cost?
A salesperson earns a commission of $4%$ on the first $\$ 20{,}000$ of monthly sales and $7\%$ on all sales above $\ $20, 000$ . In a month the commission was $\$ 2{,}060$. What were the monthly sales?
In a school, $60%$ of the students are girls. Of the girls, $25%$ wear glasses, and of the boys, $40%$ wear glasses. If a student who wears glasses is chosen at random, what is the probability that…
A tank is $30%$ full. After $45$ liters of water are added it is $75%$ full. If $40%$ of the water now in the tank is then drained, how many liters remain?
Of $200$ people surveyed, $70%$ like tea, $55%$ like coffee, and $15%$ like neither. How many of them like both?

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