Question

There are \[120\] voters, \[90\] of them voted yes. What percent voted yes?

Answer 1

Hint: Calculating percentages is a simple mathematical procedure. If you need to find a ratio or a component of a quantity as a proportion of another quantity, you either need to express it as a percentage.

Complete step-by-step answer:
Percentages are either numbers or ratios expressed as fractions of \[100\] in mathematics. They are generally written as or . They can also be expressed as decimal fractions or as simple fractions.
In the question, it is given that the total voters \[ = 120\]
And also the number of voters who vote as yes, that is \[90\] voters.
We have to find out the percentage of voters who voted yes. For that, we are using the formula,
\[Percentage = \dfrac{{No.of\;Voters\;Voted}}{{Total\;Voters}} \times 100\]
Therefore, the percent of voters who voted yes \[ = \dfrac{{90 \times 100}}{{120}} = \dfrac{{90}}{{12}} = 75\]
So, the answer is \[75\% \] .
So, the correct answer is “Option B”.

Note: It is clear that \[90\] voters voted yes from total \[120\] voters. So, we can find the number and percentage of remaining voters who didn’t vote as yes.
A simple method is that we know that the total percentage is \[100\] . Hence we are subtracting the percentage of voters who voted yes from the total percentage, that is \[100 - 75 = 25\% \] .
Or else, first we have to find the number of voters who didn’t vote as yes, and it is \[120 - 90 = 30\] .
So, the percentage of voters who didn’t vote as yes \[ = \dfrac{{30 \times 100}}{{120}} = \dfrac{{30}}{{12}} = 25\% \]