### 3.9 Percentages

Problem #

Problem Statement

Problems Similar To

1.

Write 12% as a decimal

\begin{equation}12\end{equation}

2.

Write 6/4% as a decimal

\begin{equation}\frac{6}{4}\end{equation}

3.

Write 194% as a decimal

\begin{equation}194\end{equation}

4.

Express 5 as percentage

\begin{equation}5\end{equation}

5.

Express 2/3 as percentage

\begin{equation}\frac{2}{3}\end{equation}

6.

What is 24% of 4?

\begin{equation}\frac{24}{100} \times 4=x\end{equation}

7.

What percent of 57 is 114/25?

\begin{equation}\frac{x}{100} \times 57=\frac{114}{25}\end{equation}

8.

13% of what is 13/25?

\begin{equation}\frac{13}{100} \times x=\frac{13}{25}\end{equation}

9.

Population of a certain city decreased to 44% that of last year's. The population now is 292204. What was it last year?

\begin{equation}\frac{44}{100} \times x=292204\end{equation}

10.

The stock market index is now at 1160, which is 58% of last year's value. Where was it at last year?

\begin{equation}x \times \frac{58}{100}=1160\end{equation}

11.

So far this week you have worked 891/100 hours at your part time job. This is 81% of the number of hours you work each week. How many hours do you work each week?

\begin{equation}x \times \frac{81}{100}=\frac{891}{100}\end{equation}

12.

Sales tax rate in State X is 51%. Estimate the sales tax on a model of a Pirate Ship that costs $\$300$. \begin{equation}300 \times \frac{51}{100}\end{equation} 13. In a purchase, customers pay 2% sales tax over an above the price of the article. You buy a skateboard with a printed price$\$99$, what is the total cost, with taxes, you'll need to pay?

\begin{equation}99+99 \times \frac{2}{100}\end{equation}

14.

According to a nation's census, State X had about 2257100 residents. Of those, 18% are under age 18. How many of State X's residents are under the age of 18?

\begin{equation}2257100 \times \frac{18}{100}\end{equation}

15.

A storage device has 4000 megabytes of storage space. What percent of the space is used by a file that takes up 1880 megabytes?

\begin{equation}\frac{x}{100} \times 4000=1880\end{equation}

16.

A pharmacy discount card gives the user 70% off prescriptions. Mr. Kumar's cholesterol medication normally costs $\$10$. What is the final price with the discount card? \begin{equation}91-10 \times \frac{70}{100}\end{equation} 17. A major city's public transport system sells$\$46$ tickets at a discounted price of $\$41$. What percentage is the discount? \begin{equation}\frac{46-41}{46} \times 100\end{equation} 18. A textbook salesperson is paid a base salary of$\$12900$ plus a 2% commission on sales. Her total sales last year were $\$31000\$. Find her total pay last year?

\begin{equation}12900+31000 \times \frac{2}{100}\end{equation}