Understanding the Data and the Question

The question asks us to find the number of female candidates who qualified from state B in the year 2021 as a percentage of the number of male candidates who qualified from state A in the year 2022. We need to use the data provided in Table-1 and Table-2.

Calculating Qualified Candidates in 2021

First, let's find the total number of candidates who qualified in the year 2021 from all six states. From Table-2:

• Total Appeared in 2021 = 142000
• Percentage Qualified in 2021 = 45%

Total Qualified candidates in 2021 = 45% of 142000

In numerical terms:

Total Qualified in 2021 = $\frac{45}{100} \times 142000 = 0.45 \times 142000 = 63900$

Calculating Female Candidates from State B in 2021

Next, we find the number of qualified candidates specifically from state B in 2021. From Table-1:

• Percentage Qualified from State B in 2021 = 16% of Total Qualified in 2021

Number of Qualified candidates from State B in 2021 = 16% of 63900

In numerical terms:

Qualified from State B in 2021 = $\frac{16}{100} \times 63900 = 0.16 \times 63900 = 10224$

Now, let's find the number of female candidates from State B in 2021. From Table-1, the Male to Female ratio for State B in 2021 is 3:1.

• Male parts = 3
• Female parts = 1
• Total parts = $3 + 1 = 4$

The fraction of female candidates is $\frac{1}{4}$.

Number of Female candidates from State B in 2021 = $\frac{1}{4} \times$ Qualified from State B in 2021

In numerical terms:

Female from State B in 2021 = $\frac{1}{4} \times 10224 = 2556$

Calculating Qualified Candidates in 2022

Now, let's find the total number of candidates who qualified in the year 2022 from all six states. From Table-2:

• Total Appeared in 2022 = 180000
• Percentage Qualified in 2022 = 52%

Total Qualified candidates in 2022 = 52% of 180000

In numerical terms:

Total Qualified in 2022 = $\frac{52}{100} \times 180000 = 0.52 \times 180000 = 93600$

Calculating Male Candidates from State A in 2022

Next, we find the number of qualified candidates specifically from state A in 2022. From Table-1:

• Percentage Qualified from State A in 2022 = 20% of Total Qualified in 2022

Number of Qualified candidates from State A in 2022 = 20% of 93600

In numerical terms:

Qualified from State A in 2022 = $\frac{20}{100} \times 93600 = 0.20 \times 93600 = 18720$

Now, let's find the number of male candidates from State A in 2022. From Table-1, the Male to Female ratio for State A in 2022 is 28:17.

• Male parts = 28
• Female parts = 17
• Total parts = $28 + 17 = 45$

The fraction of male candidates is $\frac{28}{45}$.

Number of Male candidates from State A in 2022 = $\frac{28}{45} \times$ Qualified from State A in 2022

In numerical terms:

Male from State A in 2022 = $\frac{28}{45} \times 18720 = \frac{524160}{45} = 11648$

Calculating the Required Percentage

The question asks for the number of female candidates from state B in 2021 as a percentage of the number of male candidates from state A in 2022.

• Female candidates from State B in 2021 = 2556
• Male candidates from State A in 2022 = 11648

Required Percentage = $\left( \frac{\text{Female from State B in 2021}}{\text{Male from State A in 2022}} \right) \times 100$

Required Percentage = $\left( \frac{2556}{11648} \right) \times 100$

Calculating the value:

Required Percentage $\approx 0.219445 \times 100 \approx 21.9445\%$

We are asked for the approximate percentage. Looking at the options, 22% is the closest value.

Revision Table: Key Calculations Summary

Additional Information: Data Interpretation Tips

When solving data interpretation questions based on tables, it's important to carefully read the titles and headings of each table. Understand what each percentage or ratio represents. In this problem:

• Table-1 gives the percentage distribution of qualified candidates among the qualified candidates from specific states. It also gives the gender ratio among the qualified candidates for each state.
• Table-2 gives the total number of candidates who appeared and the overall percentage of candidates who qualified out of the total appeared.

So, to find the actual number of qualified candidates from a specific state, you first need the total number of qualified candidates (from Table-2) and then apply the state-specific percentage from Table-1. To find the number of male or female candidates from a state, you use the state's qualified count and apply the male:female ratio from Table-1.