Election Vote Calculation: Finding Total Votes
This problem involves calculating the total number of votes cast in an election based on the percentage of votes received by the losing candidate and the vote difference between the winner and loser.
Analyze Vote Percentages
- The losing candidate received $37\%$ of the votes.
- Since there are only two contestants, the winning candidate received the remaining votes: $100\% - 37\% = 63\%$.
- The difference in vote percentage between the winning and losing candidate is: $63\% - 37\% = 26\%$.
Calculate Total Votes
The problem states that the difference in votes (the margin of loss) is $520000$. This difference corresponds to the $26\%$ calculated above.
Let $T$ be the total number of votes cast. We can set up the equation:
$ 26\% \text{ of } T = 520000 $
Convert the percentage to a decimal:
$ 0.26 \times T = 520000 $
To find the total votes ($T$), divide the vote difference by the percentage difference:
$ T = \frac{520000}{0.26} $
$ T = \frac{52000000}{26} $
$ T = 2000000 $
Therefore, the total number of votes cast in the election was $2,000,000$.
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Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?
