Chapter 7, Problem 21MCQ

To determine

To find: The number.

Answer to Problem 21MCQ

  $80$ is the number which $7.5\%$ is $6$ .

Explanation of Solution

Given information: $6$is $7.5\%$ of what number?

Calculation: Percent $(\%)$ means ‘out of $100$ ’ and when dealing with percents the word ‘of’ means ‘times or to multiply’.

Let, the number we are looking for is $x$ .

Hence, $7.5\%$ can be written as $\frac{7.5}{100}$ , and $7.5\%\text{ of }x$ can be written as $\frac{7.5}{100}\times x$ .

Therefore, $6\text{ is 7}\text{.5}\%\text{ of }x$ .

Let’s find the value of $x$ ,

  $\begin{array}{c}\frac{7.5}{100}\times x=6\\ x=\frac{6\times 100}{7.5}\\ x=\frac{6\times 4}{0.3}\\ x=\frac{6\times 40}{3}\\ x=2\times 40\\ x=80\end{array}$

Hence, $80$ is the number which $7.5\%$ is $6$ .