Chapter 0.6, Problem 10E

To determine

To calculate: The number such that 125 percentage of that number is 25.

Answer to Problem 10E

The value of thenumber such that 125 percentage of that number is 25 is $20$ .

Explanation of Solution

Given information:

125 of a number percent is 25.

Formula used:

Percent proportion is ratio of amount and base is same as percent to 100.

To convert percentage to fraction divide the number by 100.

Calculation:

Let x percent of 125 is 25.

Recall that percent proportion is ratio of amount and base is same as percent to 100.

Simplify the term,

  $\begin{array}{c}x\%\times 125=25\\ \frac{x}{100}\times 125=25\\ \frac{x}{100}=\frac{25}{125}\end{array}$

Cross multiply the terms,

  $\begin{array}{c}\frac{x}{100}=\frac{25}{125}\\ x=\frac{100\times 25}{125}\\ x=20\end{array}$

Thus, the value of thenumber such that 125 percentage of that number is 25 is $20$ .