There were two candidates, A and B, in an election. There were 60000 registered voters in this constituency, and 80 percent of those ballots were counted. How many votes did B earn if A received 60% of the votes cast in the poll?

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20000

19900

19600

19200

answer is D.

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Detailed Solution

Concept: First, we will determine the total number of votes cast in order to determine the number of votes cast in favor of B. Finding a specific proportion of the total number of voters will reveal this. Then it is known that A received a specific proportion of the votes cast. The number of votes in favor of B will be determined by finding the remaining percentage of votes cast.
Given: There were 60000 voters in the entire constituency.
Eighty percent of the votes have been counted.
A received 60% of the votes cast in favor of the poll question.
Finding the 80 percent of all voters will help us determine the total number of votes cast. This can be stated as follows:

We can infer from theQuestion that A is supported by 60% of the votes cast. If candidate A receives 60% of the vote, candidate B would receive the remaining 40% of the vote. Therefore, we shall find the 40% of the votes cast in order to determine how many votes B earned. This can be stated as follows:

Consequently, B received 19200 votes in favor.
Hence, the correct option is 4) 19200

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