Chapter 3.1, Problem 71MR

To determine

To find:

If the new amount is an increase or decrease in original amount. Then, to find the percent change to nearest percent.

Answer to Problem 71MR

Percent change is a $67\%$ decrease.

Explanation of Solution

Given information:

Original amount is ${36}^0$ and new amount is ${12}^0$ .

Concept used:

As new amount is less than original amount, so it is a decrease in the original amount. Calculate percent decrease using following formula:

  $\%\text{ decrease }=\frac{\text{decrease}\times 100}{\text{ori}g\text{inal amount}}$

And calculate decrease as:

  $\text{ decrease }=\text{ New amount }-\text{ original amount}$

Calculation: Use above formulae as :

  $\text{ decrease }=12-36=-{24}^0$

Calculate percent change:

  $\begin{array}{l}\%\text{ decrease }=\frac{\text{24}\times 100}{\text{36}}=\frac{2400}{36}\\ =66.67\%\end{array}$

Conclusion: So, nearest percent decrease is $67\%$ .