Grade 7 · Fractions & ratios

Percent proportion word problems practice

Percent proportion word problems is a grade 7 math skill aligned to Common Core standard 7.RP.A.3: use proportional relationships to solve multistep ratio and percent problems. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 percent proportion word problems problems our math games drill.

CCSS 7.RP.A.310 questions in the bank
Sample questions

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Question 1easy

A customer buys a desk for $250\text{\char36}250 and pays 7%7\% sales tax on the purchase. How much is the sales tax, in dollars?

Tax =0.07×250=17.50= 0.07 \times 250 = 17.50 dollars.

Question 2easy

In a survey of 400400 people, 35%35\% said they prefer option A. How many people is that?

0.35×400=1400.35 \times 400 = 140 people.

Question 3easy

A restaurant bill is $72\text{\char36}72. What is a 15%15\% tip, in dollars?

Tip =0.15×72=10.80= 0.15 \times 72 = 10.80 dollars.

Question 4easy

A student answered 5151 out of 6060 questions correctly on a quiz. What percent of the questions did the student answer correctly?

5160=0.85=85%\dfrac{51}{60} = 0.85 = 85\%.

Question 5medium

2727 is 45%45\% of a number. What is the number?

Let nn be the number. Then 0.45n=270.45n = 27, so n=27÷0.45=60n = 27 \div 0.45 = 60.

Question 6medium

A town's population increased from 12,00012{,}000 to 13,80013{,}800. What is the percent increase?

Increase =13,80012,000=1,800= 13{,}800 - 12{,}000 = 1{,}800. Percent increase =1,80012,000=0.15=15%= \dfrac{1{,}800}{12{,}000} = 0.15 = 15\%.

Question 7medium

After a 25%25\% discount, a board game costs $45\text{\char36}45. What was the original price, in dollars, before the discount?

The sale price is 75%75\% of the original: 0.75p=450.75p = 45, so p=45÷0.75=60p = 45 \div 0.75 = 60 dollars.

Question 8medium

The price of a laptop decreased from $800\text{\char36}800 to $680\text{\char36}680. What is the percent decrease?

Decrease =800680=120= 800 - 680 = 120. Percent decrease =120800=0.15=15%= \dfrac{120}{800} = 0.15 = 15\%.

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