Chapter 7.5, Problem 16E

To determine

To calculate: To find the new amount.

Answer to Problem 16E

$25$ increased by $24\%$ is $31$

Explanation of Solution

Given information:

Consider the information provided in the question,

Percentage increase = $24\%$

Amount = $25$

Formula used:

  $\begin{array}{l}\text{New}=\text{ Old Amount}\times \left(100\%+p\%\right)\text{ [for percent increase]}\\ \text{New}=\text{ Old Amount}\times \left(100\%-p\%\right)\text{ [for percent decrease]}\end{array}$

Calculation:

It is observed from the data provided that there is percent increase, use formula for percent increase,

  $\begin{array}{l}\\ \text{New}=\text{ Old Amount}\times \left(100\%+p\%\right)\text{ [for percent increase]}\\ =25\times \left(100\%+24\%\right)\text{ [substitute]}\\ =25\times \left(124\%\right)\text{ [add percent]}\\ \text{ = 25}\times \text{1}\text{.24 [write percent as decimal]}\\ \text{ = 31}\\ \end{array}$

  $25$ increased by $24\%$ is $31$