Question Details

Comprehension: The following table shows the number of students enrolled in four different Colleges (A-D) during the four years from 2020 to 2023. Based on the data in the table, answer the questions that follow.


Year-wise Enrolment of Students in Colleges Year Number of Students Enrolled in College A B C D 2020 1200 900 1000 700 2021 1100 800 1300 900 2022 1400 1000 1200 1100 2023 600 700 800 1000



For College B in the year 2021, if 20% of students were enrolled in B.Sc; 30% of students were enrolled in B.Com. and the remaining students were enrolled in BCA, then what is the difference between the number of students enrolled in BCA and B.Sc?

Options

A

260

B

220

C

230

D

240

Show Answer

Correct Answer :

Option D

240

Solution :

The correct option is 240.

Let's solve this step-by-step to understand how we arrive at this answer.

Step 1: Extract the relevant data from the table
From the table, we locate the row for the year 2021 and the column for College B.
The number of students enrolled in College B in the year 2021 is 800.

Step 2: Determine the percentage distribution of students in College B in 2021
According to the question, the distribution of students is as follows:
- Enrolled in B.Sc: 20%
- Enrolled in B.Com: 30%
- Enrolled in BCA: Remaining percentage

First, let's find the percentage of students enrolled in BCA:
Percentage of BCA = 100 % - ( 20 % + 30 % ) = 100 % - 50 % = 50 %

Step 3: Calculate the difference in percentage between BCA and B.Sc
We need to find the difference between the number of students enrolled in BCA and B.Sc.
We can first find the difference in their percentage shares:
Percentage Difference = Percentage of BCA - Percentage of B.Sc
Percentage Difference = 50 % - 20 % = 30 %

Step 4: Calculate the absolute difference in the number of students
Now, we calculate 30% of the total number of students enrolled in College B in 2021 (which is 800):
Difference = 30 % of 800
Difference = 30 100 Ă— 800 = 30 Ă— 8 = 240

Thus, the difference between the number of students enrolled in BCA and B.Sc is 240.

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