Question

What is $5\%$ of 70?

Answer 1

Hint: To find the value $5\%$ of 70 firstly remove the percentage sign from 50 and divide it by 100 to obtain a value in fraction. Then we will simplify the numerator and denominator by dividing both of them with the same number till we get a pair of co-prime numbers. Then for the final answer multiply the obtained fraction by 70 and get the desired answer.

Complete step by step solution:
To obtain $5\%$ of 70 we will convert it in fraction by dividing it by 100 and removing the percent sign as follows:
$5\%=\dfrac{5}{100}$
Now, we will simplify the above value by dividing the numerator and denominator by 5 as,
$\begin{align}
  & \Rightarrow \dfrac{\dfrac{5}{5}}{\dfrac{100}{5}} \\
 & \Rightarrow \dfrac{1}{20} \\
\end{align}$
We can’t simplify the above value further because we got co-prime numbers from numerator and denominator.
So we can write
$5\%=\dfrac{1}{20}$
Next, we will multiply 70 by the above value as,
$\begin{align}
  & \Rightarrow \dfrac{1}{20}\times 70 \\
 & \Rightarrow \dfrac{7}{2} \\
 & \Rightarrow 3.5 \\
\end{align}$

Hence $5\%$ of 70 is $3.5$

Note: Percentage term used in the solution denotes that we can write a number as a fraction of 100. It is denoted by $\%$. To find the percentage divide the number that is to be expressed as percentage by the total number and multiply it by 100. We can also denote the percentage in decimal form if we divide the numerator by denominator completely. Percentage is a way to find the part of the particular number per hundred. We can also use a direct method to find the solution. The formula is:
$P\%$ Of Number $=X$
Where $X$ is the answer
So we can write:
$5\%$ of $70=X$
On Removing percentage sign and divide 80 by 100 we get,
$\begin{align}
  & \Rightarrow \dfrac{5}{100}\times 70=X \\
 & \Rightarrow \dfrac{1}{20}\times 70=X \\
 & \Rightarrow 3.5=X \\
\end{align}$
So we get $X=3.5$ which is the desired answer.