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The following table shows the number of voters at 5 different centres P, Q, R, S and T and the percentage of people who voted in an election.

Centre  Total Number of Registered Voters Percentage of People Who Voted (Out of the total number of registered voters) 
P 3500  85%
Q 2900  76%
R 2400  82% 
S 1850  90%
T 3000  87%

If the number of invalid votes cast at Centre S was 20% of the total number of votes cast, then what percentage of the total number of registered voters cast invalid votes at Centre S?

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  1. 20%
  2. 18%
  3. 25%
  4. 22%

Answer (Detailed Solution Below)

Option 2 : 18%
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Detailed Solution

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Given:

Centre S

Total Number of Registered Voters = 1850

Percentage of People Who Voted = 90%

Formula used:

Number of Votes Cast = Total Number of Registered Voters × Percentage of People Who Voted / 100

Number of Invalid Votes = Number of Votes Cast × 20% / 100

Percentage of Invalid Votes out of Total Registered Voters = (Number of Invalid Votes / Total Number of Registered Voters) × 100

Calculation:

Number of Votes Cast = 1850 × 90 / 100

⇒ Number of Votes Cast = 1665

Number of Invalid Votes = 1665 × 20 / 100

⇒ Number of Invalid Votes = 333

Percentage of Invalid Votes out of Total Registered Voters = (333 / 1850) × 100

⇒ Percentage of Invalid Votes = 18%

∴ The correct answer is option 2.

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