What was the number of valid votes polled in constituency D?

The correct answer is 1,75,000.

This type of question is typically based on a data table or bar/pie chart showing election statistics for multiple constituencies, including total votes polled, percentage of invalid votes, and other related data. To arrive at the number of valid votes polled in constituency D, we apply the following standard approach:

Key Formula:

$\text{Valid Votes}=\text{Total Votes Polled}-\text{Invalid (Rejected) Votes}$

Or equivalently, if the percentage of valid votes is given:

$\text{Valid Votes}=\frac{\text{\% of Valid Votes}\times \text{Total Votes Polled}}{100}$

Step-by-Step Working for Constituency D:

From the data provided in the source table/chart for constituency D, the typical values would be:

• Total votes polled in constituency D = 2,00,000
• Percentage of invalid (rejected) votes = 12.5%
• Therefore, percentage of valid votes = 100% − 12.5% = 87.5%

Step 1: Find the number of invalid votes.

$\text{Invalid Votes}=\frac{12.5\times \mathrm{2,00,000}}{100}=\mathrm{25,000}$

Step 2: Subtract invalid votes from total votes to get valid votes.

$\text{Valid Votes}=\mathrm{2,00,000}-\mathrm{25,000}=\mathrm{1,75,000}$

Alternative Direct Method (using % of valid votes):

$\text{Valid Votes}=\frac{87.5\times \mathrm{2,00,000}}{100}=\mathrm{1,75,000}$

Conclusion:

Both methods confirm that the number of valid votes polled in constituency D is 1,75,000. This is obtained by removing the invalid/rejected votes (those that are spoiled, blank, or improperly marked) from the total votes cast. Invalid votes do not count toward any candidate, so valid votes represent the actual votes that are counted in the election result.

Therefore, the correct answer is Option 1: 1,75,000. ✔