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In an election between two candidates, one got 52% of total valid votes. 25% of the total votes were invalid. The total number of votes were 8400. How many valid votes did the other person get?
  • a)
    3276
  • b)
    3196
  • c)
    3024
  • d)
    3296
  • e)
    3096
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In an election between two candidates, one got 52% of total valid vote...
Let's break down the information given:
- The total number of votes is 8400.
- 25% of the total votes were invalid.
- The remaining votes are valid.
- One candidate received 52% of the valid votes.

To find the number of valid votes the other candidate received, we need to calculate the total number of valid votes first.

Calculating the number of invalid votes:
- 25% of 8400 = 0.25 * 8400 = 2100

Calculating the number of valid votes:
- Total votes - Invalid votes = 8400 - 2100 = 6300

Calculating the number of votes received by the candidate who got 52% of the valid votes:
- 52% of 6300 = 0.52 * 6300 = 3276

Therefore, the other candidate received 6300 - 3276 = 3024 valid votes.

Hence, the correct answer is option 'C' (3024).
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Community Answer
In an election between two candidates, one got 52% of total valid vote...
To find the number of valid votes received by the candidate other than the one who got 52% of the valid votes, we first calculate the total number of valid votes. Since 25% of the total votes were invalid, we subtract that percentage from 100% to get the percentage of valid votes, which is 75%.
Next, we calculate 75% of the total number of votes, which is (75/100) * 8400 = 6300. Therefore, the total number of valid votes is 6300.
Since the candidate who won received 52% of the valid votes, the candidate who was defeated received the remaining percentage, which is 48%. To find the number of valid votes received by the defeated candidate, we calculate (48/100) * 6300 = 3024.
Hence, the defeated candidate received 3024 valid votes, which corresponds to option C.
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