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In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :
  • a)
    2500
  • b)
    2700
  • c)
    2900
  • d)
    3100
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In an election between two candidates, one got 55% of the total valid ...
Total number of votes = 7500 
Given that 20% of Percentage votes were invalid
 => Valid votes = 80%
 Total valid votes = 7500*(80/100) 
1st candidate got 55% of the total valid votes. 
Hence the 2nd candidate should have got 45% of the total valid votes 
=> Valid votes that 2nd candidate got = total valid votes * (45/100) 
7500*(80/100)*(45/100) = 2700
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Most Upvoted Answer
In an election between two candidates, one got 55% of the total valid ...
Solution:

Given:
Total number of votes = 7500
Invalid votes = 20%

To find:
Number of valid votes for the other candidate

Step 1: Calculate the number of invalid votes
The percentage of invalid votes is given as 20%. To find the number of invalid votes, we can multiply the total number of votes by the percentage of invalid votes:
Invalid votes = 20% * 7500 = (20/100) * 7500 = 1500

Step 2: Calculate the number of valid votes
Since the total number of votes is 7500 and the number of invalid votes is 1500, we can subtract the number of invalid votes from the total to find the number of valid votes:
Valid votes = Total votes - Invalid votes = 7500 - 1500 = 6000

Step 3: Calculate the number of valid votes for the other candidate
One candidate received 55% of the total valid votes. To find the number of valid votes for the other candidate, we can multiply the total valid votes by the percentage (55%):
Valid votes for the other candidate = 55% * 6000 = (55/100) * 6000 = 3300

Therefore, the number of valid votes that the other candidate received is 3300, which corresponds to option 'B'.
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