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

Answer:

$198

Step-by-step 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:

$x+x\times 7\%=\ 211.86\\\Rightarrow \dfrac{107}{100}x=\ 211.86\\\Rightarrow x=\dfrac{21186}{107}\\\Rightarrow \bold{x = \ 198}$

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