Ex.8.2 Q8 Compairing Quantities - NCERT Maths Class 7

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Question

Out of \(15,000\) voters in a constituency, \(60\%\) voted. Find the percentage of voters who did not vote. Can you now find how many actually did not vote?

Text Solution

What is Known?

Out of total voters \((15,000)\) in a constituency, the percentage of voter \((60\%)\) that voted

What is Unknown?

The percentage of voters who did not vote and number of voters that did not vote.

Reasoning:

Consider total percentage of voters as \(100\%.\) Since the percentage of voters that voted is given, percentage of voters that did not vote can be obtained. The percentage can be used to obtain the number of voters that did not vote.

Steps:

Total percentage of voters is equal to \(100\%.\) Percentage of voters that voted is given to be \(60\%.\)

So, the percentage of voters who did not vote will be

\((100\% - 60\%) = 40\%\)

The number of voters who did not vote 

\[\begin{align}&={\rm{  40\% \,of \,15,000 }}\\&=\frac{{{\rm{40}}}}{{{\rm{100}}}} \times {\rm{15,000}}\\ &=\rm{ 6,000}\end{align}\]