Question
Download Solution PDFStudy 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
If candidate C has obtained 270 valid votes, then which are the two candidates for whom the difference in valid votes obtained is 45?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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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