Question

In an election, there were two candidates A and B. The total number of voters in this constituency was 60000 and 80% of the total votes were polled. If 60% of the polled votes were cast in favour of A, how many votes were received by B?

Answer 1

Hint: To find the number of votes which were in favour of B, firstly we will find the number of votes which were polled. This can be found out by finding a given percentage of the total number of voters. Then we have given that a certain percentage of votes polled were in favour of A. Therefore, we will find the remaining percentage of votes polled, and this will be the number of votes in favour of B.

Complete step-by-step answer:
Given:
The total number of voters in the constituency was 60000.
The percentage of votes polled is 80%.
The percentage of polled in favour of A are 60% of the polled votes.
We will find the number of votes polled by finding the 80% of the total number of voters. This can be expressed as,
 $ \begin{array}{c}
{\rm{Votes Polled}} = 80\% \;of\;60000\\
 = \dfrac{{80}}{{100}} \times 60000\\
 = 48000
\end{array} $
We know from the question that 60% of the polled votes are in favour of A. If 60% of votes were in favour of A then remaining 40% of the votes will be in favour of B. Therefore, to find the number of votes received by B we will find the 40% of the polled votes. This can be expressed as:
 $ \begin{array}{c}
{\rm{Votes in favor of B}} = 40\% \;of\;48000\\
 = \dfrac{{40}}{{100}} \times 48000\\
 = 19200
\end{array} $
Hence, 19200 votes were in favour of B.

Note: To find a percentage of something, we need to represent a number or ratio in the form of a fraction of 100. This question is purely based on the percentage calculation. Here, firstly we need to find the percentage of votes polled and that the percentage of votes in favour of B. The calculation can be easily done by representing the percentage in fraction form, in which the numerator is the given percentage and the denominator is 100.