Question

a family buys groceries for $156.10, including $10.47 in taxes. the bill includes $21.73 worth of items that are not taxable. find the sales tax rate. round your answer to the nearest tenth of a percent.
the sales tax rate is %.

Explanation:

Step1: Find taxable amount

First, subtract non - taxable items and tax from the total bill to get the taxable amount. The total bill is $156.10$, non - taxable items cost $21.73$, and tax is $10.47$. So the taxable amount is $156.10−21.73 - 10.47=123.9$.

Step2: Calculate tax rate

The tax rate $r$ is calculated by the formula $r=\frac{\text{Tax amount}}{\text{Taxable amount}}\times100\%$. We know the tax amount is $10.47$ and the taxable amount is $123.9$. So $r = \frac{10.47}{123.9}\times100\%$.
$r=\frac{10.47}{123.9}\times100=\frac{1047}{123.9}\approx8.5\%$

Answer:

$8.5$