Study the given table carefully and answer the following question.
The table shows the percentage of students in four departments - Mechanical, Civil, Computer Science, and Applied - with each student being in only one department.
The table also shows the number of students in these four departments in five different colleges, with the total number of students being 2080.
|
College |
Students |
Mechanical |
Civil |
Computer |
AppIled |
|
IIT Delhi |
430 |
— |
20% |
— |
10 % |
|
IIT Kanpur |
350 |
20% |
— |
25% |
— |
|
IIT Bombay |
— |
20% |
18% |
- |
32% |
|
IIT Madras |
— |
— |
25% |
18% |
35% |
|
IIT Guwahatl |
400 |
20% |
22% |
— |
20% |
If the number of students in IIT Bombay is 20% less than the number of students in IIT Madras, then what is the difference between the total number of students who study in the Applied department in these two colleges and that of the students who study in the Civil department in these two colleges?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 106.
Let's assume the total number of students in IIT Madras = 100x
So, the total number of students at IIT Bombay = 100x × (100 - 20)/100 = 80x
Total students = 2080
Total students in IIT Delhi, Kanpur and Guwahati = 430 + 350 + 400 = 1180
Students in IIT Bombay and Madras = 2080 - 1180 = 900
⇒ 100x + 80x = 900
⇒ x = 5
The total number of students at IIT Bombay = 80x = 400
The total number of students at IIT Madras = 100x = 500
The total number of students who study in the Applied department in these two colleges = 400 × 32/100 + 500 × 35/100 = 303
The total number of students who study in the Civil department in these two colleges = 400 × 18/100 + 500 × 25/100 = 197
Required difference = 303 - 197 = 106