Question

What is \[75\%\] of \[3000\]?

Answer 1

Hint: In order to find out the value of \[75\%\] of \[3000\], we must convert \[75\%\] into its fractional form i.e. with denominator as \[100\] and then we must multiply this fraction with \[3000\]. Upon solving this, we get the required value. By following this, we are simply trying to find out the \[{{75}^{th}}\] part of \[3000\], when it is divided into \[100\] equal parts.

Complete step by step answer:
Now let us have brief information regarding the percentage and its calculations. Percent means nothing but per every hundred. A percent can also be calculated in the form of a decimal or a fraction. We can calculate percentage by determining the whole or complete amount first and then dividing it with the number to be expressed as a percent by total. In most of the cases, we will be dividing the smaller number by the larger number. Lastly, multiply the resulting answer with hundred.
Now let us calculate the value of \[75\%\] of \[3000\].
The fractional form of \[75\%\] is \[\dfrac{75}{100}\].
Now let us multiply the fractional form to \[3000\]. We get,
\[\dfrac{75}{100}\times 3000=\dfrac{225000}{100}=2250\]
\[\therefore \] We have obtained the value of \[75\%\] of \[3000\] i.e. \[2250\].

Note: We must always note that percentages are to be calculated per hundred only and that is why we have divided \[3000\] into \[100\] parts. Percentages can be used in calculating various terms such as loss percentage, profit percentage, discount percent and many more.
The above calculation can also be done by dividing \[3000\] with \[100\] and then multiplying it as shown below.
\[\dfrac{75}{100}\times 3000=75\times 30=2250\]