Understanding the Student Enrollment Data

The table provided gives us information about the number of students enrolled in three different academic programmes: B.A., B.C.A., and B.B.A., across five different colleges, labeled A through E, for the year 2020.

We need to use this data to answer the question regarding the percentage of B.B.A. students in college C relative to the total number of B.B.A. students across all five colleges.

Analyzing the B.B.A. Enrollment Data

First, let's extract the number of students enrolled in the B.B.A. programme from each college:

Calculating Total B.B.A. Enrollment

To find the total number of students studying B.B.A. in all five colleges together, we sum the number of B.B.A. students from each college:

Total B.B.A. Students = Students in A + Students in B + Students in C + Students in D + Students in E

Total B.B.A. Students $= 425 + 475 + 325 + 425 + 225$

Total B.B.A. Students $= 1875$

So, there are a total of 1875 students studying B.B.A. across all five colleges.

Calculating the Percentage of B.B.A. Students in College C

The question asks for the percentage of students studying B.B.A. in college C out of the total number of students studying in B.B.A. in all the five colleges together.

Number of B.B.A. students in college C = 325

Total number of B.B.A. students in all colleges = 1875

The percentage is calculated using the formula:

$\text{Percentage} = \left( \frac{\text{Number of students in College C}}{\text{Total number of students in all colleges}} \right) \times 100\%$

Substituting the values:

$\text{Percentage} = \left( \frac{325}{1875} \right) \times 100\%$

Let's perform the division:

$\frac{325}{1875} = \frac{13 \times 25}{75 \times 25} = \frac{13}{75}$

Now, convert the fraction to a percentage:

$\text{Percentage} = \frac{13}{75} \times 100\%$

$\text{Percentage} = \frac{1300}{75}\%$

$\text{Percentage} = \frac{52 \times 25}{3 \times 25}\%$

$\text{Percentage} = \frac{52}{3}\%$

$\text{Percentage} \approx 17.33\%$

The question asks for approximately what percent. Comparing 17.33% with the given options, the closest value is 17%.

Conclusion

The number of students studying in B.B.A. in college C forms approximately 17% of the total number of students studying in B.B.A. in all five colleges together.

Revision Table: Key Calculations for B.B.A. Enrollment Analysis

Additional Information: Data Interpretation and Percentage Calculations

Data interpretation questions often require extracting specific information from tables, charts, or graphs and then performing calculations based on that data. Percentage calculations are very common in these types of questions.

• What is a Percentage? A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign "%".
• How to Calculate Percentage? To find what percentage a part is of a whole, you use the formula:

$\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\%$

• In this problem, the 'Part' is the number of B.B.A. students in college C (325), and the 'Whole' is the total number of B.B.A. students across all colleges (1875).
• Data interpretation skills are crucial for competitive exams as they test your ability to read, understand, and analyze information presented in various formats quickly and accurately. Practice with different types of data representations like tables, bar graphs, pie charts, and line graphs is beneficial.
• Approximation is sometimes required, as indicated by the word "approximately" in the question. This means you should find the option closest to your calculated value.