Question

80% of which number equals 3000?

Answer 1

Hint: Here we will consider that number to be x. then 80% of x is 3000. Thus we will write this in fraction form as percent means per 100. On solving that equation we will get the value of the number whose 80% is 3000.

Complete step by step solution:
Let the number be x.
So 80% of x is 3000.
Now symbolizing of operator,
\[80\% \times x = 3000\]
Now write the fraction form of percentage,
\[\dfrac{{80}}{{100}} \times x = 3000\]
On transposing the constants on one side we get,
\[x = \dfrac{{3000 \times 100}}{{80}}\]
On dividing we get,
\[x = 3750\]
Thus this is the number 3750 whose 80% is 3000.
So, the correct answer is “ 3750”.

Note: Here just note that the “of” operator means multiplication. This is the only thing to note.
Also note that sometimes the language of the question is what percent of 3750 is 3000. Thus this can be solved by the way below.
\[x\% \times 3750 = 3000\]
We are just considering the unknown or asked factor as x and revolving the same fraction equation according to that.
Unlike “of” operator there is “by” operator in mathematics that replaces division.