Percentages 2 — Problem-Solving and Data Analysis

Questions in this quiz (7)

1. The line graph shows the average number of daily visitors at a city library recorded each year from $$2011$$ to $$2021$$. In $$2013$$, the average number of daily visitors was $$52$$, and in $$2019$$, the average number of daily visitors was $$22$$. If the average number of daily visitors decreased by $$k\%$$ from $$2013$$ to $$2019$$, what is the value of $$k$$?

   • $$27.96$$
   • $$30.75$$
   • $$37.50$$
   • $$57.69$$

2. Greenwood Property Group purchased five rental properties, each at different locations with the purchase and monthly rental prices shown in the table below.Greenwood Property Group purchased the Cedar Ridge Road property at a $$25\%$$ discount off its original price, followed by an additional $$20\%$$ discount due to a promotional incentive. Which of the following best approximates the original price, in dollars, of the Cedar Ridge Road property?

   • $$240,000$$
   • $$300,000$$
   • $$375,000$$
   • $$400,000$$

3. The positive number $$p$$ is $$80\%$$ of the sum of the positive numbers $$q$$ and $$r$$, and $$q$$ is $$25\%$$ of $$r$$. What percent of $$q$$ is $$p$$?

   • $$350$$
   • $$400$$
   • $$440$$
   • $$480$$

4. The regular price of a pair of headphones at a store is $$80$$ dollars. The sale price of the headphones is $$60\%$$ less than the regular price, and the sale price is $$25\%$$ greater than the store’s cost for the headphones. What was the store’s cost, in dollars, for the headphones?

   • $$25.6$$
   • $$26.7$$
   • $$29.7$$
   • $$32.8$$

5. A school district plans to purchase the same model of calculator for each of its $$150$$ students. The total budget for the calculators is $$27000$$ dollars, which includes $$8\%$$ sales tax. Which of the following is closest to the maximum possible price per calculator, before sales tax, that the district could pay based on this budget?

   • $$166.67$$
   • $$170.00$$
   • $$176.85$$
   • $$180.00$$

6. A factory supervisor recorded the production of ceramic mugs. On Thursday, the factory produced $$252$$ mugs. The percent increase in the number of mugs produced from Wednesday to Thursday was $$5.00\%$$. How many mugs did the factory produce on Wednesday?

   • $$240$$
   • $$245$$
   • $$252$$
   • $$265$$

7. The positive number $$z$$ is $$120\%$$ of the number $$y$$, and $$y$$ is $$80\%$$ of the number $$x$$. If $$z$$ is $$k\%$$ of $$x$$, which of the following is closest to the value of $$k$$?

   • $$120$$
   • $$96$$
   • $$104$$
   • $$150$$