Chapter 2.10, Problem 5P

Tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent.

Original amount: 83

New amount: 41

To determine

To tell whether the following percent change:

Original amount:83

New amount: 41

is an increase or decrease and then find the percent change and to round it to the nearest percent.

Answer to Problem 5P

Decrease by $50.6\%$

Explanation of Solution

Given:

Consider Original amount: 83 and New amount: 41

Calculations:

Since, New amount is smaller than the original amount, therefore, the percent change is a decrease.

In order to find the percent decrease, subtract the new amount from the original amount and divide the difference by the original amount.

  $\Rightarrow \frac{83-41}{83}=\frac{42}{83}$

Now multiply the expression by 100.

  $\Rightarrow \frac{42}{83}\times 100\approx 50.6\%$