Question

Out of 15000 voters in a constituency, 60% voted. Find the percentage of voters who did not vote. Can you find how many actually did not vote?

Answer 1

Hint: To solve this question we will, first of all, consider the total number of people in a percentage of 100%. Then as 60% of people are given to be one who voted then we can easily calculate the percentage of people who did not vote by subtracting above two.

Complete step-by-step solution:
Given that the total number of voters = 15,000.
Also, the percentage of the number voted = 60%.
Then considering the total to be 100%
The percentage of number who did not vote can be obtained by subtracting 100% to 60%.
Therefore the percentage of people who did not vote = 100% - 60% = 40%.
So 40% of the people did not vote.
Finally, we have to calculate the number of people who did not vote. Now 40% of 15000 gives us the total number of the person who did not vote.
40% of 15000 is given by \[\dfrac{40}{100}\times 15000\]
Cancelling 100 we get,
Number of people who did not vote = \[40\times 150=6000\].
Therefore the total number of people who did not vote is 6000.

Note: While solving this question students can get confused by seeing 60% in question. You can proceed to calculate 60% of 15000, and then subtract from 15000, this is another way of solving this question.
The steps are –
60% of 15000 = \[\dfrac{60}{100}\times 15000\]
\[\Rightarrow \] Number of people who voted = \[60\times 150=9000\].
Then the number of people who did not vote = 15000 – 9000 = 6000.
In both cases, the answer is the same.