The question asks for the percentage of students studying B.A. in college B compared to the total number of students studying in all programmes (B.A., B.C.A., and B.B.A.) in the same college (College B).

First, let's extract the required data for College B from the provided table:

Based on the table data for College B:

• Number of students studying B.A. in College B = 300
• Number of students studying B.C.A. in College B = 325
• Number of students studying B.B.A. in College B = 475

Next, we need to calculate the total number of students studying in all programmes together in College B.

Total students in College B = (Number of B.A. students) + (Number of B.C.A. students) + (Number of B.B.A. students)

Total students in College B = 300 + 325 + 475 = 1100

Now, we can calculate the percentage of students studying B.A. in College B relative to the total number of students in College B. The formula for percentage is:

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

In this case:

• Part = Number of students studying B.A. in College B = 300
• Whole = Total number of students in College B = 1100

Let's calculate the percentage:

$$ \text{Percentage of B.A. students in College B} = \left( \frac{300}{1100} \right) \times 100\% $$

$$ \text{Percentage} = \left( \frac{300}{1100} \right) \times 100 \approx 0.272727... \times 100 $$

$$ \text{Percentage} \approx 27.2727... \% $$

The question asks for the answer to be rounded off to two digits after the decimal.

Rounded Percentage $\approx 27.27\%$

Therefore, the number of students studying in B.A. in college B forms approximately 27.27% of the total number of students studying in all the programmes together in the same college.

Revision Table - College B Student Data and Percentage Calculation

This table summarizes the data and the calculation for College B.

Additional Information - Understanding Percentages in Data Analysis

Percentages are a fundamental tool in data analysis, especially when comparing a part to a whole. They express a fraction as a value out of 100.

• The formula $\left( \frac{\text{Part}}{\text{Whole}} \right) \times 100\%$ is used to convert a fraction or ratio into a percentage.
• In this problem, the 'part' is the number of B.A. students in College B, and the 'whole' is the total number of students in College B across all listed programmes.
• Calculating percentages helps in understanding proportions and making comparisons, even when the total numbers are different. For example, we could compare the percentage of B.A. students in College B to the percentage of B.A. students in College A, even if the total enrollments in colleges A and B are different.
• Rounding off percentages is often necessary to present data clearly, especially when dealing with non-terminating decimals. The required number of decimal places should always be specified.