Understanding the Data on CET Qualified Candidates

The question asks us to find the approximate percentage by which the number of females qualified from City-B in 2021 is more than the number of males qualified from City-E in the year 2020. We need to use the provided table which contains the distribution percentage of qualified candidates across six cities (A-F) for the years 2020 and 2021, along with the male-to-female ratio for each city and year. The total number of qualified candidates for 2020 is 3800 and for 2021 is 4600.

Calculating the Number of Females Qualified from City-B in 2021

First, let's find the total number of qualified candidates in City-B in 2021. The total qualified candidates in 2021 across all cities is 4600. The distribution percentage for City-B in 2021 is 15%.

Total qualified candidates in City-B in 2021 = 15% of 4600

\( = \frac{15}{100} \times 4600 \)

\( = 15 \times 46 \)

\( = 690 \)

Now, we need to find the number of females among these 690 candidates. The male to female ratio for City-B in 2021 is 12:11. The total parts in the ratio are \(12 + 11 = 23\).

Number of females in City-B in 2021 = (Female ratio part / Total ratio parts) × Total qualified in City-B in 2021

\( = \frac{11}{23} \times 690 \)

\( = 11 \times \frac{690}{23} \)

\( = 11 \times 30 \)

\( = 330 \)

So, the number of females qualified from City-B in 2021 is 330.

Calculating the Number of Males Qualified from City-E in 2020

Next, let's find the total number of qualified candidates in City-E in 2020. The total qualified candidates in 2020 across all cities is 3800. The distribution percentage for City-E in 2020 is 8%.

Total qualified candidates in City-E in 2020 = 8% of 3800

\( = \frac{8}{100} \times 3800 \)

\( = 8 \times 38 \)

\( = 304 \)

Now, we need to find the number of males among these 304 candidates. The male to female ratio for City-E in 2020 is 5:3. The total parts in the ratio are \(5 + 3 = 8\).

Number of males in City-E in 2020 = (Male ratio part / Total ratio parts) × Total qualified in City-E in 2020

\( = \frac{5}{8} \times 304 \)

\( = 5 \times \frac{304}{8} \)

\( = 5 \times 38 \)

\( = 190 \)

So, the number of males qualified from City-E in 2020 is 190.

Calculating the Percentage Increase

We need to find by what percentage the number of females qualified from City-B in 2021 (330) is more than the number of males qualified from City-E in 2020 (190). The formula for percentage increase is:

Percentage Increase \( = \frac{\text{(New Value - Old Value)}}{\text{Old Value}} \times 100 \)

Here, the 'New Value' is the number of females from City-B in 2021 (330), and the 'Old Value' is the number of males from City-E in 2020 (190).

Percentage Increase \( = \frac{(330 - 190)}{190} \times 100 \)

\( = \frac{140}{190} \times 100 \)

\( = \frac{14}{19} \times 100 \)

Let's calculate the value:

\( \frac{14}{19} \approx 0.736842... \)

Percentage Increase \( \approx 0.736842 \times 100 \)

\( \approx 73.6842 \)

The question asks for the approximate percentage. Looking at the options, 73.68 is the closest value.

Conclusion

The number of females qualified from City-B in 2021 is approximately 73.68% more than the number of males qualified from City-E in the year 2020.

Revision Table: Key Calculations

Additional Information: Data Interpretation Skills

This question is a typical example of data interpretation based on tables, often seen in competitive exams like CET. To solve such problems efficiently, you need to:

• Carefully read the title and any introductory text to understand what the data represents.
• Understand the units and percentages used.
• Pay attention to the totals provided (e.g., total qualified candidates).
• Know how to calculate a percentage of a total.
• Know how to distribute a total quantity based on a given ratio.
• Understand how to calculate percentage increase or decrease.
• Practice speed and accuracy in calculations.

These skills are fundamental for solving data interpretation questions quickly and correctly.