Answer
$150 per night.
Work Step by Step
The sales tax on charge of inn’s nightly cost is 8%. So, the provided charge is 108% of the inn charge without sales tax.
Consider the equation to calculate the charge at 108%.
$x\times \frac{108}{100}=162$
Here, x is the charge without the sales tax.
Now, solve the above equation.
$\begin{align}
& x\times \frac{108}{100}=162 \\
& x=162\times \frac{100}{108} \\
& =\$150\end{align}$
Thus, the inn’s nightly cost without tax is $150.
