Study the given pie chart and answer the question that follows. The given pie chart represents the percentage of valid votes obtained by five candidates in a university election.

Percentage of valid votes obtained by five candidates in an election

F1 Savira SSC 24-9-24 D022

If candidate C has obtained 270 valid votes, then which are the two candidates for whom the difference in valid votes obtained is 45?

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SSC CHSL Exam 2024 Tier-I Official Paper (Held On: 05 Jul, 2024 Shift 1)
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  1. A and Q
  2. D and Q
  3. C and D
  4. Q and C

Answer (Detailed Solution Below)

Option 2 : D and Q
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Detailed Solution

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Given:

Candidate C has 18% of valid votes.

Valid votes obtained by Candidate C = 270

Formula used:

Total valid votes = (Votes of C × 100) ÷ Percentage of votes for C

Valid votes for a candidate = (Total valid votes × Percentage of votes for the candidate) ÷ 100

Calculation:

Total valid votes = (270 × 100) ÷ 18

⇒ Total valid votes = 1500

Votes for A = (1500 × 45) ÷ 100

⇒ Votes for A = 675

Votes for D = (1500 × 16) ÷ 100

⇒ Votes for D = 240

Votes for Q = (1500 × 13) ÷ 100

⇒ Votes for Q = 195

Votes for E = (1500 × 8) ÷ 100

⇒ Votes for E = 120

Difference between D and Q = 240 - 195 = 45

∴ The two candidates for whom the difference in valid votes obtained is 45 are Candidate D and Candidate Q.

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