Question

What Is $50$ the Percent Of A Number Whose $200$ Percent Is $20$?

Answer 1

Determine the $50$ Percent Of A Number Whose $200$ Percent Is$20$.

Let the number be $X$

So,

$$\begin{gathered} 200\%ofX=20 \\ \Rightarrow 200\%\times X=20 \\ \Rightarrow 200\times \frac{1}{100}\times X=20 \\ \Rightarrow \frac{200}{100}\times X=20 \\ \Rightarrow 2\times X=20 \\ \Rightarrow 2X=20 \\ \Rightarrow X=\frac{20}{2} \\ \Rightarrow X=10 \end{gathered}$$

Now calculate the $50$ percentage of $X=10$

$$\begin{gathered} 50\%ofx=50\%\times 10 \\ \Rightarrow =50\times \frac{1}{100}\times 10 \\ \Rightarrow =\frac{50}{100}\times 10 \\ \Rightarrow =\frac{1}{2}\times 10 \\ \Rightarrow =5 \end{gathered}$$

Hence, The $50$ percent of a number is$5$.