Chapter 7.5, Problem 5CYP

To determine

The percent of sales tax.

Answer to Problem 5CYP

The percent of sales tax is $6\%$ .

Option G $6\%$ is correct.

Explanation of Solution

Given:

The total cost of a mixer including tax was $\$47.70$ . The original price of the mixer was $\$45$ .

Concept Used:

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:

Total cost of a mixer including tax $\$47.70$

Original price of the mixer $\$45$

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

Therefore,

  $\begin{array}{c}\text{Sales tax \% }=\left(\frac{47.70-45}{45}\right)\times 100\\ =\left(\frac{2.70}{45}\right)\times 100\\ =\left(0.06\right)\times 100\\ =6\%\end{array}$

Therefore, the percent of sales tax is $6\%$

Hence, option G $6\%$ is correct.

Conclusion:

The percent of sales tax is $6\%$

Option G $6\%$ is correct.