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Question

Election results of a city, which contains 3 segments ($A, B$ and $C$) are given in the Table. Percentage votes obtained by parties $X, Y$ and $Z$ are also shown. Which party won the election?

SegmentTotal Voters% of votingXYZ
A2,00,00060303040
B2,50,00070403030
C3,00,00080304030

The correct answer is
Y

Calculating Election Votes Per Party

To determine the winning party, we need to calculate the total votes received by each party (X, Y, and Z) across all segments (A, B, and C).

Step 1: Calculate Votes Cast in Each Segment

  • Segment A: Total Voters = 2,00,000; Voting % = 60% Votes Cast = $2,00,000 \times \frac{60}{100} = 1,20,000$
  • Segment B: Total Voters = 2,50,000; Voting % = 70% Votes Cast = $2,50,000 \times \frac{70}{100} = 1,75,000$
  • Segment C: Total Voters = 3,00,000; Voting % = 80% Votes Cast = $3,00,000 \times \frac{80}{100} = 2,40,000$

Step 2: Calculate Votes for Each Party in Each Segment

Segment Votes Cast Party X Votes Party Y Votes Party Z Votes
A 1,20,000 $1,20,000 \times \frac{30}{100} = 36,000$ $1,20,000 \times \frac{30}{100} = 36,000$ $1,20,000 \times \frac{40}{100} = 48,000$
B 1,75,000 $1,75,000 \times \frac{40}{100} = 70,000$ $1,75,000 \times \frac{30}{100} = 52,500$ $1,75,000 \times \frac{30}{100} = 52,500$
C 2,40,000 $2,40,000 \times \frac{30}{100} = 72,000$ $2,40,000 \times \frac{40}{100} = 96,000$ $2,40,000 \times \frac{30}{100} = 72,000$

Step 3: Calculate Total Votes for Each Party

  • Party X Total Votes: $36,000 + 70,000 + 72,000 = 1,78,000$
  • Party Y Total Votes: $36,000 + 52,500 + 96,000 = 1,84,500$
  • Party Z Total Votes: $48,000 + 52,500 + 72,000 = 1,72,500$

Step 4: Determine the Winner

Comparing the total votes:

  • Party X: 1,78,000 votes
  • Party Y: 1,84,500 votes
  • Party Z: 1,72,500 votes

Party Y received the highest number of votes.

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    It can be inferred that during 2000-2007,

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  4. The amount collected by selling Chinese dishes is approximately what percentage more than the amount collected by selling Bengali dishes?
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