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