Discussion
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.
| Share of valid votes | |
|---|---|
| A | 40% |
| B | 25% |
| C | 20% |
| D | 15% |
Based on the data provided, the total number of valid votes received by the candidates B and C is
Answer: B
B and C together received 49,500 valid votes.
Valid votes = 1,15,000 - 5,000 = 1,10,000. B and C together hold 25% + 20% = 45% of the valid votes:
\[ 0.45 \times 110000 = 49500 \]
Taking 45% of all votes cast, including the invalid ones, gives 51,750, the main trap. 45,000 and 54,000 do not come from either total.
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