Question

Out of 1500 voters in a constituency, 60% voted. Find the percentage of voters who did not vote. Can you now find how any actually did not vote?

Answer 1

Hint: Find out the percentage of candidates who did not vote. Given that 60% voted. Considering a total of 100%, find the% of candidates who did not vote from total voters of 15000.


Complete step-by-step Solution:

Given the total number of voters = 15,000 voters.
Out of these 15,000 voters only 60% of the voters voted. Hence, we need to find the number of voters who did not vote.
Percentage of voting candidates = 60%.
Let us consider a total of 100% of voters in the 15000 voters.
The percentage of voters voted from 100%.
$$\therefore$$Percentage of voters who did not vote = 100% - 60% = 40 %.
The number of candidates who voted = 60% of 15000.
                                                                    $$\begin{array}{rl}& ={\displaystyle \frac{60}{100}}\times 15000\\ & =9000\end{array}$$
Therefore, the number of voters who voted = 9000 voters.
Number of voters who did not vote = 40% of the total voters.
                                                                = 40% of 15000
                                                                $$\begin{array}{rl}& ={\displaystyle \frac{40}{100}}\times 15000\\ & =6000\end{array}$$
Here out of 15000 voters, 6000 candidates did not vote.

Note:
Read the question carefully, we are supposed to find the number of people who did not vote out of 15000 voters. So find the percentage of candidates who did not vote which is 40%. Misreading and taking the value as 60% will lead to the wrong answer of 9000 candidates who had voted, while the correct answer remains 6000.
You can also check by adding the people who voted and did not vote to get a total number of voters of 15000.