Chapter 6.6, Problem 44CCR

To determine

To find: $30$ is $60\%$ of what number.

Answer to Problem 44CCR

  $30$ is $60\%$ of $50$ .

Explanation of Solution

Given information:

  $30$ is $60\%$ of what number

Concept:

  $x\%$ of $y$ is $\frac{x}{100}\times y$

From given information

  $30$ is $60\%$ of what number

Here

  $\begin{array}{l}x=60\\ \frac{x}{100}\times y=30\end{array}$

Therefore

  $\begin{array}{l}30=\frac{60}{100}\times y\\ \Rightarrow 30=0.6y\\ \Rightarrow y=\frac{30}{0.6}\\ \Rightarrow y=50\end{array}$

Therefore,

  $30$ is $60\%$ of $50$ .