Question

Carmen returned a bicycle to Earl's Bike Shop. The sales receipt showed a total paid price of $\$211.86$, including the $7\%$ sales tax. What was the cost of the bicycle without the sales tax?

Answer 1

$198

Explanation:

Given that:

Sales price on the sales receipt (including the sales tax) = $211.86

Sales tax = 7%

To find:

The cost of the bicycle without the sales tax = ?

Solution:

First of all, we will have to let the cost of bicycle without the sales tax.

Let the cost of bicycle without the sales tax = $
`x`

Cost of bicycle without the sales tax and with sales tax is given as equal to $211.86.

Writing the equation as per question statement:

`x+x* 7\%=\$211.86\\\Rightarrow (107)/(100)x=\$211.86\\\Rightarrow x=(21186)/(107)\\\Rightarrow \bold{x = \$198}`

Therefore, the cost of bicycle without the sales tax = $198