Question

What is 9% of 50?

Answer 1

Hint: To calculate the percentage of any quantity, we need to first understand the meaning of the term ‘percent’. Percent means to calculate a quantity per one hundred parts. To calculate a certain percentage of any quantity, the quantity is multiplied by converting the percentage into its decimal form. This will give us the answer to our problem.

Complete step by step answer:
In order to find the 9% of 50, we will first convert the percentage into its decimal form.
Let the percent given to us be denoted by ‘x’. Then, we have been given the value of ‘x’ as:
$\Rightarrow \mathrm{\%}x=9$
Let us name the above equation as$(1)$, so we have:
$\Rightarrow \mathrm{\%}x=9$ ......... (1)
Now, we need to find the decimal value of percentage of ‘x’. We know that any percentage can be converted in to its decimal quantity by dividing it with one hundred. So, we proceed in our solution in the following manner:
Let the decimal value of ‘x’ be given by ‘y’. Then, we can write that:
$\Rightarrow y={\displaystyle \frac{\mathrm{\%}x}{100}}$
Putting the value of ‘x’ from equation number (1) in the above equation, we get:
$\begin{array}{rl}& \Rightarrow y={\displaystyle \frac{9}{100}}\\ & \therefore y=0.09\end{array}$
Thus, we get the decimal value of 9% as 0.09 . Therefore, 9% of 50 can be easily calculated as follows:
$\begin{array}{rl}& \Rightarrow 9\mathrm{\%}\text{ of 50}=0.09\times 50\\ & \therefore 9\mathrm{\%}\text{ of 50}=4.5\end{array}$

Hence, 9% of 50 comes out to be 4.5

Note: Whenever, we calculate the percentage of any quantity, that is, of a fraction or a decimal, it is always a non-negative term. Another interesting property of percentage is that the terms in it can be reversed, that is, x% of y is equal to y% of x. For example: 10% of 100 is equal to 10 and 100% of 10 is also equal to 10. It can be used to get a faster solution to our problem.