In an election, the total number of valid votes cast was 3,75,000. Candidate A secured 48% of the valid votes, with the rest of the valid votes going to the winner, Candidate B. By how many valid votes did Candidate B win over Candidate A?
Understanding the Election Vote Calculation
This problem asks us to find the margin by which Candidate B won the election over Candidate A. We are given the total number of valid votes and the percentage of votes Candidate A received. Candidate B received the remaining valid votes.
Step-by-Step Calculation of Vote Difference
Here’s how to calculate the difference:
- Total Valid Votes: The total number of valid votes cast in the election is 3,75,000.
- Candidate A's Vote Percentage: Candidate A secured 48% of the total valid votes.
- Candidate B's Vote Percentage: Since Candidate B is the winner and received the rest of the valid votes, their percentage is calculated as:
Percentage for B = Total Percentage - Percentage for A
Percentage for B = \(100\% - 48\% = 52\%\)
- Difference in Vote Percentage: The difference between Candidate B's and Candidate A's vote percentage is:
Difference Percentage = Percentage for B - Percentage for A
Difference Percentage = \(52\% - 48\% = 4\%\)
- Calculating the Vote Difference: The question asks for the difference in the number of valid votes. This difference is 4% of the total valid votes.
Vote Difference = Difference Percentage \(\times\) Total Valid Votes
Vote Difference = \(4\% \times 3,75,000\)
Vote Difference = \(\frac{4}{100} \times 3,75,000\)
Vote Difference = \(0.04 \times 3,75,000\)
Vote Difference = \(4 \times 3,750\)
Vote Difference = 15,000
Conclusion
Candidate B won over Candidate A by a margin of 15,000 valid votes.
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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?
