Question

If 5% of x is 600. Find the value of x.

Answer 1

Hint: To solve this first of all we will calculate the value of \[5\%\] of x then we know that the \[5\%\] of x is given to be equal to 600. So, we can easily equate both the values and get the result as the value of x.

Complete step-by-step answer:
We are given that the value of \[5\%\] of x is 600. And we have to find the value of x.
To do so we will first of all calculate the value of \[5\%\] of x.
The value of \[5\%\] of x, is given by,
\[\dfrac{5}{100}(x)\]
then the value of \[5\%\] of x is 0.05x………..(i)
now given in the question that the value of \[5\%\] of x is 600………(ii)
because the values in both the equation(i) and equation(ii) are the same.
Therefore, equating equation (i) and equation(ii) we get,
\[\begin{align}
  & 0.05(x)=600 \\
 & \Rightarrow x=\dfrac{600}{0.05} \\
 & \Rightarrow x=12000 \\
\end{align}\]
Hence, we obtained the value of x as 12000, which is the required answer.

Note: The possibility of errors in this type of question can be at the point where you have to calculate the value of 5% of x. The issue in this case can be at calculating 5/100 of x which is 0.05 and not 0.5. Always be clear about the calculations and then proceed to get the required result.