Chapter 7.5, Problem 17PPS

To determine

The percent of sales tax.

Answer to Problem 17PPS

The percent of sales tax is $5.5\%$

Explanation of Solution

Given:

Roberto wants to buy a new ski jacket that costs $\$96$ .

The total cost, including tax, is $\$101.28$ .

Concept Used:

  $\text{Sales tax = Total Cost - Original Price}$

Percent of sales tax is equal to the difference of total cost and original price divided by the original price multiplied by 100

  $\text{Sales tax \% = }\left(\frac{\text{Total Cost - Original Price}}{\text{Original Price}}\right)\times 100$

Calculation:

The cost of a new ski jacket is $\$96$ .

The total, including tax, is $\$101.28$ .

  $\text{Sales tax = Total Cost - Original Price}$

  $\begin{array}{c}\text{Sales tax }=101.28-96\\ =5.28\end{array}$

Now,

  $\begin{array}{c}\text{Sales tax \% = }\left(\frac{\text{Total Cost - Original Price}}{\text{Original Price}}\right)\times 100\\ \text{Sales tax \% }=\left(\frac{101.28-96}{96}\right)\times 100\\ =\left(\frac{5.28}{96}\right)\times 100\\ =\left(\frac{528}{9600}\right)\times 100\\ =\frac{528}{96}\\ =5.5\end{array}$

Therefore, the percent of sales tax is $5.5\%$

Conclusion:

The percent of sales tax is $5.5\%$