Question

A local community college has announced that they will be raising tuition costs from $36 per unit to $46 per unit. Determine the percent increase in tuition costs. Round your answer to the nearest tenth of a percent.

Answer 1

Solution

Determine the percent increase in tuition costs:

To calculate the percentage increase:

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Then: divide the increase by the original number and multiply the answer by 100.

New cost = $46

Original cost = $36

$\begin{gathered} I\text{ncrease= New cost - Original cost} \\ Increase\text{ = 46-36} \\ Increase=\text{ \ }10 \end{gathered}$$\begin{gathered} \text{ \% increase = }\frac{10}{36}\times100 \\ =\frac{1000}{36} \\ =27.278 \\ \approx27.8\text{ \%} \end{gathered}$

Therefore the percent increase in tuition costs = 27.8%