Q68. - Algebra 2

Question

Including a 6% sales tax, a paperback book costs $8.43$. What is the price before tax?

Step-by-Step Solution

Answer

The price of the paperback book before the tax is $7.95$.

Step 1- Given information

A paperback book costs $8.43$with $6\%$sales tax.

Step 2- Formula used

Total cost of paperback book $=$ Original price of book $+$ sales tax on book

Step 3- To find the Price of book before tax

Let the price of the book before the tax is$=x$.

So, $x+6\%ofx=8.43$

$\begin{array}{l}\Rightarrow x+\frac{6}{100}\times x=8.43\\ \Rightarrow x+\frac{3x}{50}=8.43\\ \Rightarrow \frac{50x+3x}{50}=8.43\\ \Rightarrow \frac{53x}{50}=8.43\\ \Rightarrow 53x=8.43\times 50\\ \Rightarrow 53x=84.3\times 5\\ \Rightarrow x=\frac{84.3\times 5}{53}\\ \Rightarrow x=7.95\end{array}$

Hence, the price of the paperback book before the tax is $7.95$.