Question

What number is $70\%$ of 130?

Answer 1

Hint: To get the solution of the given question we will use percentage sign. Firstly we will remove the percentage sign and divide the number 70 by 100 then we will simplify the fraction by dividing the numerator and denominator by the same value till we get a co-prime number. Then finally multiply the fraction obtained by 130 and simplify it to get the desired answer.

Complete step by step answer:
To obtain $70\%$ of 130 we will convert $70\%$ in fraction by dividing it by 100 and removing the percent sign as follows:
$70\%=\dfrac{70}{100}$
Now, we will simplify the above value by dividing the numerator and denominator by 10 as,
$\begin{align}
  & \Rightarrow \dfrac{\dfrac{70}{10}}{\dfrac{100}{10}} \\
 & \Rightarrow \dfrac{7}{10} \\
\end{align}$
We can’t simplify the above term further so we can write as
$70\%=\dfrac{7}{10}$
Next, we will multiply 130 by the above value and simplify it to get
$\begin{align}
  & \Rightarrow \dfrac{7}{10}\times 130 \\
 & \Rightarrow 7\times 13 \\
 & \Rightarrow 91 \\
\end{align}$
Hence $70\%$ of 130 is 91

Note: The term percentage is a number or a ration which is expressed as a fraction of 100. It is denoted by the sign $\%$ or “per”. It is very useful in our daily life for simple calculations like the percentage of students in an exam where total marks obtained by student is divided by total marks and multiply the result by 100. A direct method is also there to get the solution which is given below:
$P\%$ of Number $=X$
Where $X$ is the answer
So we can write:
$70\%$ of $130=X$
Removing percentage sign and dividing 4 by 100 and simplifying it we get,
$\begin{align}
  & \Rightarrow \dfrac{70}{100}\times 130=X \\
 & \Rightarrow \dfrac{7}{10}\times 130=X \\
 & \therefore 91=X \\
\end{align}$
So we get $X=91$ which is the desired answer.