In an election, the share of valid votes received by the four candidates A, B, C and D is represented by the pie chart shown. The total number of votes cast in the election were 1,15,000, out of which 5,000 were invalid. Based on the data provided, the total number of valid votes received by the candidates B and C is: Pie chart: A = 40%, B = 25%, C = 20%, D = 15% A. 45,000 B. 49,500 C. 51,750 D. 54,000

GATE 2024 · General Aptitude · Pie Chart · medium

Answer: Total valid votes received by B and C together = 49,500 (Option B)

1. Find total valid votes: Valid votes = 1,15,000 - 5,000 = 1,10,000
2. Add B and C percentage shares: Combined share = 25% + 20% = 45%
3. Compute combined valid votes for B and C: Votes(B+C) = (45 / 100) x 1,10,000 = 0.45 x 1,10,000 = 49,500