Question

What percentage of \[50\] is\[20\]?

Answer 1

Hint: Here we are given a question from percentage. We have to find out what percentage of \[50\] is \[20\]. To do so, first we have to let any variable \[x\] be that percentage. Then we write \[x\% \] of \[50\] is \[20\]. Then we solve this to find the value of \[x\], which is the required percentage.

Formula used: If we have to find the value of \[x\% \] of \[y\], we find it as,
\[\dfrac{x}{{100}} \times y = p\],
Where \[p\]is the value found out by the above formula.

Complete step by step solution:
We are given to find out the percentage of \[50\] for which the value is\[20\]. So, we let any variable \[x\] be that percentage. We say that \[x\% \] of \[50\] is \[20\].So, we write this in equation as,
\[\dfrac{x}{{100}} \times 50 = 20\]
Now, we proceed further to solve this equation as,
\[
   \Rightarrow \dfrac{x}{2} = 20 \\
   \Rightarrow x = 40 \\
 \]
Hence, we get the value of \[x\] to be \[40\]. Hence we say that \[40\] percent of \[50\] is \[20\].

Note:
We can also find the value of \[x\% \] of \[y\] by interchanging the question as \[x\% \] of \[y\] is equal to \[y\% \] of \[x\]. In this way we can do some of the lengthy looking percentage questions easily. For ex. To find the value of \[66.66\% \] of \[50\] we have to do some lengthy calculations which are difficult to do mentally, but on using the above given process, we can change this question to find the value of \[50\% \] of \[66.66\]. We know that \[50\% \] of any value is the half of that value, so we find the half of \[66.66\]. We get \[33.33\] as answer.