Problem-Solving and Data Analysis: Percentages — Quiz 5

Questions in this quiz (10)

1. A town's population increased by $$18\%$$ one year and then decreased by $$10\%$$ the next year. If the population after the second year is $$9180$$, what was the original population?

   • $$8425$$
   • $$8644$$
   • $$9365$$
   • $$9272$$

2. A store marks up an item by $$125\%$$ of its cost, then applies a $$20\%$$ discount. If the final price is $$72$$ dollars, what is the original cost?

   • $$30$$
   • $$32$$
   • $$36$$
   • $$40$$

3. In a survey, $$x\%$$ of participants prefer tea, and $$40\%$$ of those also prefer coffee. If $$24\%$$ of all participants prefer both tea and coffee, what is the value of $$x$$?

   • $$40$$
   • $$50$$
   • $$60$$
   • $$70$$

4. A number increases by $$25\%$$, then increases again by $$20\%$$. By what percent did the number increase overall?

   • $$40\%$$
   • $$45\%$$
   • $$50\%$$
   • $$55\%$$

5. A company's revenue is $$80000$$ dollars. It increases by $$15\%$$ and then decreases by $$5\%$$. What is the final revenue?

   • $$87400$$
   • $$87600$$
   • $$92000$$
   • $$96600$$

6. A tank is filled to $$30\%$$ of its capacity. After adding $$210$$ liters, it is $$65\%$$ full. What is the total capacity of the tank?

   • $$600$$
   • $$650$$
   • $$700$$
   • $$750$$

7. A price is increased by $$x\%$$ and then decreased by $$x\%$$. Which expression represents the final value in terms of the original price $$P$$?

   • $$P$$
   • $$P(1-x^2)$$
   • $$P(1-\frac{x^2}{10000})$$
   • $$P(1-x)$$

8. A student answered $$75\%$$ of the questions correctly on a test. If the student answered $$45$$ questions correctly, how many total questions were on the test?

   • 60

9. A quantity increases from $$120$$ to $$162$$. What is the percent increase?

   • $$25\%$$
   • $$30\%$$
   • $$35\%$$
   • $$40\%$$

10. A product's price is increased by $$60\%$$ and then increased again by $$25\%$$. What is the overall percent increase?

    • $$75\%$$
    • $$80\%$$
    • $$90\%$$
    • $$100\%$$