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Chapter 1: Problem 36

Including \(5 \%\) sales tax, an inn charges \(\$ 252\) per night. Find the inn's nightly cost before the tax is added.

Short Answer

Expert verified
The inn's nightly cost before the tax is added is approximately $240.

Step by step solution

01

Identify the Percent

Identify what percentage the total amount represents. In this case, the total cost of $252 includes the original cost plus a 5% tax, thus it represents 105% of the original cost (100% + 5%).
02

Calculate cost before tax

The next step is to figure out what 1% would be, and then multiply to get 100%, the original cost. To find 1%, divide the total cost by 105. To get the original cost (100%), multiply the 1% value by 100.
03

Perform the calculation

Divide $252 by 105 to get 1%, which is around $2.40. Therefore, to find the original cost (100%), multiply $2.40 by 100, which results in $240

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