Question

What percent of 50 is 20?

Answer 1

Hint: In the above mentioned question we need to find out the percentage value of 50 which gives the result as 20. For this we will assume the percentage be x and then solve for the value of x. We will make use of the statement that \[x%\] of 50 is equal to 20, with this we will get the value of x which is required in the question.

Complete step by step solution:
In the above question we will assume the percentage be x. Now in the question above there is a statement that \[x%\]of 50 is equal to 20, where \[x%\] signifies \[\dfrac{x}{100}\] so finally from the statement mentioned in the question we can say that \[\dfrac{x}{100}\] of 50 is equal to 20 and in this of signifies multiplication, so when we finally write the whole statement in terms of mathematical operators we will get it as:
\[\dfrac{x}{100}\times 50=20\]
Now from the above given equation we need to solve for the value of x, we know that the right hand side of the equation is a constant i.e. will not be changing so we can then multiply both sides by 100 which will cancel the 100 on the left hand side of the equation and we will get our result :\[x\times 50=20\times 100\]
Now we can clearly see that there is coefficient of x which is 50 and to remove that or to convert the coefficient to be equal to 1 we will divide both sides by 50 with which the coefficient of x will become 1 and on the right hand side we will have the value of x and we will get the value of x as:
\[\begin{align}
  & x=\dfrac{20\times 100}{50} \\
 & \Rightarrow x=40 \\
\end{align}\]
So we get the final percentage value which the question required for i.e. 40.
So we can finally say that \[40%\] of 50 will give 20.

Note: In the above mentioned question we can easily get the percentage value of a number as we already know the final result and also the number out of which the result is to be found like in the above example we had 20 as the result and 50 as the number with which result needed to be found out. For this we can use the inverse of percentage formula.