Answer
$240 per night
Work Step by Step
The sales tax on the charge of inn’s nightly cost is 5%. So, the given charge is 105% of the inn’s charge without sales tax.
Consider the equation to calculate the charge at 105%
$x\times \frac{105}{100}=252$
Here, x is the charge without the sales tax.
Now, solve the above equation
$\begin{align}
& x\times \frac{105}{100}=252 \\
& x=252\times \frac{100}{105} \\
& =\$240\end{align}$
Thus, the inn’s nightly cost without tax is $240.
