In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted votes while the other three candidates received the remaining casted votes in the proportion 1:2:3. If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was
Question:
In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted votes while the other three candidates received the remaining casted votes in the proportion 1:2:3. If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was
In an election, there were four candidates and 80% of the registered voters casted their votes. One of the candidates received 30% of the casted votes while the other three candidates received the remaining casted votes in the proportion 1:2:3. If the winner of the election received 2512 votes more than the candidate with the second highest votes, then the number of registered voters was
Options
Answer: (4) 62800
Explanation:
Let total registered voters = R. Casted votes = 0.8R. One candidate got 0.3×0.8R = 0.24R. Remaining 0.56R distributed as 1:2:3, so they got 0.56R/6, 0.112R, 0.168R respectively. Winner got 0.24R and second highest got 0.168R. Difference = 0.072R = 2512, so R = 62800.
Explanation:
Let total registered voters = R. Casted votes = 0.8R. One candidate got 0.3×0.8R = 0.24R. Remaining 0.56R distributed as 1:2:3, so they got 0.56R/6, 0.112R, 0.168R respectively. Winner got 0.24R and second highest got 0.168R. Difference = 0.072R = 2512, so R = 62800.
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