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How do you find $40\% $ of $5000$?

Answer
VerifiedVerified
539.4k+ views
Hint: Here we must know that when we take the percentage of any number then we just need to multiply the percentage with the number whose percent is to be found and $n\% = \dfrac{n}{{100}}$.
And $n\% {\text{ of }}m = \dfrac{n}{{100}} \times m$ therefore here we can say that $m = 5000,n = 40$.

Complete step by step solution:
Here we are given to find $40\% $ of$5000$ and therefore we must know what the meaning of percentage is. The symbol represents the percentage of any number. One example can make it clearer. If the student scores $80\% $ marks in the class and the maximum marks are said to be $500$ and this would mean that he has scored $80\% {\text{ of 500}}$ and then we can calculate the marks scored by him by using multiplying the percentage with the maximum marks. So we will get:
Marks scored$ = 80\% \times {\text{500}} = \dfrac{{80}}{{100}}\left( {500} \right) = 400$.
This means that he has scored $400$ out of $500$ and earned $80\% $.
Similarly here we are given to find$40\% $ of$5000$.
So we must know that when we take the percentage of any number then we just need to multiply the percentage with the number whose percent is to be found and $n\% = \dfrac{n}{{100}}$.
And $n\% {\text{ of }}m = \dfrac{n}{{100}} \times m$ therefore here we can say that $m = 5000,n = 40$.
Substituting the value as $m = 5000,n = 40$ we will get:
$40\% {\text{ of 5000}} = \dfrac{{40}}{{100}} \times 5000$
Solving this we get that:
$40\% {\text{ of 5000}} = \dfrac{{40}}{{100}} \times 5000 = 40\left( {50} \right) = 2000$

Hence we get our answer as $2000$

Note:
Here we must know that even if we are given to convert the decimal like $0.1$ into percentage we just need to multiply it with $100$ and get $\left( {0.1} \right)\left( {100} \right) = 10\% $ and similar is the case with the fraction.