Sales Tax and Commission Exercises

Recall: (%) · (Total) = (Portion)

(% Tax) · (Purchase Price) = (Amount of Sales Tax)

So to find the amount of sales tax, multiply the "%Tax" by the "purchase price"

\(\text{(Amount of sales tax}) = (0.0895) \cdot (674.99) = $60.41\)

Note: 8.95% = 0.0895

(The Amount of Sales Tax) = (Total price) - (Purchase price)

\(=913.62 - 843.99 = 69.63\)

(Amount of sales Tax) = (Purchase price) · (% Tax)

\(\frac{69.63}{843.99} = \frac{843.99 \cdot x }{843.99}\)

\(0.0825 = x\)

\(x = 8.25\%\) Sales Tax Rate.

(The Amount of commission) = (% Commission) · (Total sales)

\(=(0.1575) \cdot (2,973.56)\)

\( = 468.34\)

$468.34

(The Amount of commission) = (% Commission) · (Total sales)

\(1,234.53 = x \cdot 18,705.00\)

\(\frac{1,234.53}{18,705.00} = \frac{18,705.00x}{18,705.00}\)

\(0.066 = x\)

Therefore the commission rate is 6.6%