Question

What is the number whose 60% is 12?

Answer 1

Hint: We need to assume the main number. We multiply 60% with the number to find the value of 12. We find the mathematical form and solve the equation to find the value of the assumed variable.

Complete step by step solution:
We assume that $x$ is the main number and 60% of that number is 12.
The fraction is the respective ratio of two numbers. We find the value of the numerator with respect to the denominator of the fraction.
In the case of percentage, we need to convert the denominator of the fraction into 100.
The numerator of the fraction with denominator being 100 will be the solution of the problem.
Therefore, 60% can be written as ${\displaystyle \frac{60}{100}}$.
Now 60 percent of $x$ is 12. Forming the mathematical expression, we get $x\times {\displaystyle \frac{60}{100}}=12$.
We now solve the equation to get
$\begin{array}{rl}& x\times {\displaystyle \frac{60}{100}}=12\\ & \Rightarrow x=12\times {\displaystyle \frac{100}{60}}\end{array}$
We complete the multiplication and get $x=12\times {\displaystyle \frac{100}{60}}={\displaystyle \frac{100}{5}}=20$.
Therefore, the number whose 60% is 12 is 20.

Note:
The value of the fraction is actually the unitary value out of 100. Therefore, in percentage value we got 60 as the percentage. Percentage deals with the ratio out of 100. The ratio value for both fraction and percentage is same.