Question

This year, a small business had a total revenue of $78,200. If this is 36% more than their total revenue the previous year, what was their total revenue theprevious year?

Answer 1

If this revenue is 36% more than the previous revenue, we can write the following rule of three to find the previous revenue:

$\begin{gathered} revenue\rightarrow percentage\\ \\ 78200\rightarrow136\%\\ \\ x\rightarrow100\% \end{gathered}$

Now, we can write the following proportion and solve for x:

$\begin{gathered} \frac{78200}{x}=\frac{136}{100}\\ \\ x\cdot136=78200\cdot100\\ \\ x=\frac{78200\cdot100}{136}\\ \\ x=57500 \end{gathered}$

Therefore the previous revenue was $57,500.