Analyzing Voter Data and Non-Voters

This problem requires us to carefully examine the provided table which contains voter information for four different villages: P, Q, R, and S. We need to focus specifically on villages P and R to find the number of people who did not vote and then compare these numbers.

Step 1: Understand the Data for Village P

According to the table:

• Total number of registered voters in Village P = 1100
• Percentage of people who voted in Village P = 68%

To find the percentage of people who did not vote in Village P, we subtract the percentage of people who voted from 100%.

Percentage of people who did not vote in Village P \( = 100\% - 68\% = 32\% \)

Now, we calculate the actual number of people who did not vote in Village P:

Number of non-voters in Village P \( = 32\% \text{ of } 1100 \) \( = \frac{32}{100} \times 1100 \) \( = 32 \times 11 \) \( = 352 \)

So, 352 people did not vote in Village P.

Step 2: Understand the Data for Village R

According to the table:

• Total number of registered voters in Village R = 1200
• Percentage of people who voted in Village R = 73%

To find the percentage of people who did not vote in Village R, we subtract the percentage of people who voted from 100%.

Percentage of people who did not vote in Village R \( = 100\% - 73\% = 27\% \)

Now, we calculate the actual number of people who did not vote in Village R:

Number of non-voters in Village R \( = 27\% \text{ of } 1200 \) \( = \frac{27}{100} \times 1200 \) \( = 27 \times 12 \) \( = 324 \)

So, 324 people did not vote in Village R.

Step 3: Compare Non-Voters in Village P and Village R

We need to find out by what percentage the number of people who did not vote in Village P is more than the number of people who did not vote in Village R.

Difference in the number of non-voters \( = (\text{Non-voters in P}) - (\text{Non-voters in R}) \) \( = 352 - 324 \) \( = 28 \)

This difference of 28 represents how many more people did not vote in Village P compared to Village R.

Step 4: Calculate the Percentage Increase Relative to Village R

The question asks for the percentage that the number of non-voters in P is more than that who did not vote in village R. This means we use the number of non-voters in Village R as the base for the percentage calculation.

Percentage more \( = \frac{\text{Difference}}{\text{Number of non-voters in R}} \times 100\% \) \( = \frac{28}{324} \times 100\% \)

Let's simplify the fraction \( \frac{28}{324} \). Both numbers are divisible by 4: \( \frac{28 \div 4}{324 \div 4} = \frac{7}{81} \)

Now, calculate the percentage: \( = \frac{7}{81} \times 100\% \) \( = \frac{700}{81}\% \)

To express this as a mixed number, we divide 700 by 81: \( 700 \div 81 \) \( 81 \times 8 = 648 \) \( 700 - 648 = 52 \) So, \( \frac{700}{81} = 8 \text{ with a remainder of } 52 \).

Therefore, \( \frac{700}{81}\% = 8 \frac{52}{81}\% \)

The number of people who did not vote in village P is \( 8 \frac{52}{81}\% \) more than that who did not vote in village R.

Summary of Calculations

Difference in non-voters = \(352 - 324 = 28\)

Percentage more in P compared to R = \( \frac{28}{324} \times 100\% = \frac{7}{81} \times 100\% = \frac{700}{81}\% = 8 \frac{52}{81}\% \)

Revision Table: Key Concepts

Additional Information: Voter Turnout Analysis

Analyzing voter turnout data, like the table provides, helps understand civic participation. The percentage of people who voted (turnout percentage) is a key metric. The remaining percentage represents those who were registered but did not cast a vote. Factors influencing voter turnout can include demographics, political climate, accessibility of polling stations, and voter registration rules. Comparing non-voter numbers between different regions or demographics can reveal important insights into electoral processes and public engagement. Problems like this one help build skills in data interpretation and percentage calculations which are essential for various quantitative analyses.