Question

What is $64\%$ of 75?

Answer 1

Hint: Here in this question we have been asked to find the value of $64\%$ of 75. From the basic concepts we know that percent means quantity per 100. We can write the following mathematical expression from the given question $\Rightarrow \dfrac{64}{100}\times 75$ and simplify it further using simple basic arithmetic operations like multiplication and division for deriving the conclusion.

Complete step by step solution:
Now considering the question we have been asked to find the value of $64\%$ out of 75.
From the basic concepts we know that percent means quantity per 100.
Now as we have been asked to find the value of $64\%$ out of 75 we can write it mathematically as $\Rightarrow \dfrac{64}{100}\times 75$ .
Now by further simplifying this expression using simple basic arithmetic operations like multiplication and division we will have
 $\begin{align}
  & \Rightarrow \dfrac{64}{100}\times 75=\dfrac{64}{20}\times 15 \\
 & \Rightarrow \dfrac{64}{4}\times 3=16\times 3=48 \\
\end{align}$ .
Here we can say that if 75 are divided into 100 equal parts then the sum of 64 equal and individual parts will be 54.
Therefore we can conclude that the value of $64\%$ out of 75 is given as 48.

Note: During the process of answering questions of this type we should be sure with the concepts that we are going to apply in between the steps. While answering questions of this type we should perform the calculations in between the process very carefully. Someone can make a calculation mistake unintentionally and consider it as
$\begin{align}
  & \Rightarrow \dfrac{64}{100}\times 75=\dfrac{64}{20}\times 15 \\
 & \Rightarrow \dfrac{64}{4}\times 3=15\times 3=45 \\
\end{align}$
which will lead them to end up having a wrong conclusion.