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%