Detailed Analysis of Qualified Candidates from Different States

The problem requires us to calculate the percentage increase in the number of male candidates who qualified from state E in 2022 compared to the number of male candidates who qualified from state F in 2021. We will use the data provided in Table-1 and Table-2 to perform the necessary calculations step-by-step.

Step 1: Calculate the total number of qualified candidates in 2021 and 2022.

• Total appeared candidates in 2021 = 142000
• Percentage qualified in 2021 = 45%
• Total qualified candidates in 2021 = \( 142000 \times \frac{45}{100} = 1420 \times 45 \)

Calculation:

\( 1420 \times 45 = 1420 \times (40 + 5) = 1420 \times 40 + 1420 \times 5 = 56800 + 7100 = 63900 \)

Total qualified candidates in 2021 = 63900.

• Total appeared candidates in 2022 = 180000
• Percentage qualified in 2022 = 52%
• Total qualified candidates in 2022 = \( 180000 \times \frac{52}{100} = 1800 \times 52 \)

Calculation:

\( 1800 \times 52 = 1800 \times (50 + 2) = 1800 \times 50 + 1800 \times 2 = 90000 + 3600 = 93600 \)

Total qualified candidates in 2022 = 93600.

Step 2: Calculate the number of qualified candidates from state F in 2021 and state E in 2022.

• Percentage of qualified candidates from state F in 2021 (from Table 1) = 13%
• Number of qualified candidates from state F in 2021 = \( 63900 \times \frac{13}{100} = 639 \times 13 \)

Calculation:

\( 639 \times 13 = 639 \times (10 + 3) = 6390 + 1917 = 8307 \)

Number of qualified candidates from state F in 2021 = 8307.

• Percentage of qualified candidates from state E in 2022 (from Table 1) = 22%
• Number of qualified candidates from state E in 2022 = \( 93600 \times \frac{22}{100} = 936 \times 22 \)

Calculation:

\( 936 \times 22 = 936 \times (20 + 2) = 18720 + 1872 = 20592 \)

Number of qualified candidates from state E in 2022 = 20592.

Step 3: Calculate the number of male qualified candidates from state F in 2021 and state E in 2022.

• Male to Female ratio for qualified candidates from state F in 2021 = 8 : 1
• Total parts in ratio = 8 + 1 = 9
• Number of male qualified candidates from state F in 2021 = \( 8307 \times \frac{8}{9} \)

Calculation:

\( \frac{8307}{9} = 923 \)

\( 923 \times 8 = 7384 \)

Number of male qualified candidates from state F in 2021 = 7384.

• Male to Female ratio for qualified candidates from state E in 2022 = 15 : 9
• Total parts in ratio = 15 + 9 = 24
• Number of male qualified candidates from state E in 2022 = \( 20592 \times \frac{15}{24} \)

Calculation:

\( \frac{20592}{24} = 858 \)

\( 858 \times 15 = 858 \times (10 + 5) = 8580 + 4290 = 12870 \)

Number of male qualified candidates from state E in 2022 = 12870.

Step 4: Calculate the percentage increase in the number of male qualified candidates from state E in 2022 compared to state F in 2021.

• Number of male qualified candidates from state E in 2022 = 12870
• Number of male qualified candidates from state F in 2021 = 7384
• Increase in number of male qualified candidates = \( 12870 - 7384 = 5486 \)
• Percentage increase = \( \left( \frac{\text{Increase}}{\text{Male from F in 2021}} \right) \times 100 \)
• Percentage increase = \( \left( \frac{5486}{7384} \right) \times 100 \)

Calculation:

\( \frac{5486}{7384} \approx 0.74296 \)

\( 0.74296 \times 100 \approx 74.296 \)

The number of male candidates who qualified from state E in 2022 is approximately 74.3% more than the number of male candidates who qualified from state F in 2021.

Rounding to the nearest integer, the percentage increase is approximately 74%.

The final answer is approximately 74%.

Revision Table: Key Calculations for Qualified Candidates

Additional Information on Percentage Calculations and Ratios

Understanding percentages and ratios is crucial for solving data interpretation problems like this. Here's a brief recap:

• Percentage: A percentage is a number or ratio expressed as a fraction of 100. To find a percentage of a quantity, you multiply the quantity by the percentage divided by 100. For example, 45% of 142000 is \(142000 \times \frac{45}{100}\).
• Ratio: A ratio is a comparison of two or more quantities. If a ratio is given as A : B, it means for every A units of one quantity, there are B units of another. The total number of parts in the ratio is A + B. To find the value of one part, you divide the total quantity by the sum of the ratio parts. Then, multiply the value per part by the corresponding ratio part (A or B). For instance, a 15:9 male to female ratio means for every 15 males there are 9 females. The total parts are 24. If the total number of qualified candidates is N, the number of males is \(N \times \frac{15}{24}\) and females is \(N \times \frac{9}{24}\).
• Percentage Increase: To calculate the percentage increase from an initial value (Initial) to a final value (Final), use the formula: \( \text{Percentage Increase} = \left( \frac{\text{Final} - \text{Initial}}{\text{Initial}} \right) \times 100 \). In this problem, the initial value is the number of male qualified candidates from state F in 2021, and the final value is the number of male qualified candidates from state E in 2022.

These concepts allow us to break down complex data into manageable parts and perform the required calculations accurately.