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In a constituency, the total number of people on the electoral roll was 2,75,000. Out of them, 90% cast their votes in an election and 15% of the votes cast were declared invalid. What was the number of valid votes cast?

  1. A
    2,10,275
  2. B
    2,10,375
  3. C
    2,10,325
  4. D
    2,10,425

Solution & Step-by-step Explanation

Total number of people on the electoral roll = 2,75,000
Number of votes cast:

Votes cast=2,75,000×
100
90

=2,47,500
Since 15% of the cast votes were invalid, the percentage of valid votes is 100%−15%=85%.

Number of valid votes cast:

Valid votes=2,47,500×
100
85

=2475×85=2,10,375

Practice this question

Try it yourself before checking the explanation above.

In a constituency, the total number of people on the electoral roll was 2,75,000. Out of them, 90% cast their votes in an election and 15% of the votes cast were declared invalid. What was the number of valid votes cast?
A
2,10,275
B
2,10,375
C
2,10,325
D
2,10,425

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