GMAT · Quantitative Reasoning

Arithmetic and percents

12 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 12 questions

A price rises by $25%$ and then falls by $10%$ . What is the net percent change from the original price?
A price rises by $10%$ and then falls by $20%$ . What is the net percent change from the original price?
A price rises by $50%$ and then falls by $20%$ . What is the net percent change from the original price?
A price rises by $20%$ and then falls by $40%$ . What is the net percent change from the original price?
A dealer sells two items for $\$ 2{,}100$ each. On the first item he makes a $40\%$ profit on its cost, and on the second he takes a $30\%$ loss on its cost. Overall, which of the following describes t…
The length of a rectangle is increased by $20%$ . By what percent must the width be decreased so that the area of the rectangle decreases by $10%$ ?
A total of $\$ 12{,}000$ is split between two simple-interest accounts, one paying $5\%$ per year and the other $9\%$ per year. The total interest after one year is $\ $780$ . How much is invested at…
A price rises by $10%$ and then falls by $10%$ . 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 price rises by $20%$ and then falls by $20%$ . What is the net percent change from the original price?
A price rises by $10%$ and then falls by $40%$ . What is the net percent change from the original price?
A price rises by $10%$ and then falls by $25%$ . What is the net percent change from the original price?

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