Q61. - Algebra 1

Question

State whether each percent of change is a percent of increase or a percent of decrease. Then find the percent of change. Round to the nearest whole percent.

original: 40, new: 50

Step-by-Step Solution

Answer

The percentage of increase is $25\%$.

Step 1. Given information.

We have ‘original is 40 and new is 50’’.

To find the percent of the change is the percent of increase or decrease and then find the change nearest to the whole percent.

Step 2. Apply concept.

Firstly, we find the change between original and new data then find the percent of change by the formula.

Let $r$ be the percent of change then,

$\frac{\mathrm{Amount} \mathrm{of} \mathrm{change}}{\mathrm{Original} \mathrm{amount}}=\frac{r}{100}$

Step 3. Calculation.

Subtracting original from new:

$50-40=10$

So, it is positive then it states the percent of the increase.

Now, find the percentage of increasing:

$\begin{array}{l}\frac{10}{40}=\frac{r}{100}\\ \Rightarrow r=\left(\frac{10}{40}\right)100\\ \Rightarrow r=25\end{array}$

Hence, the percentage of increase is $25\%$.