Question
Download Solution PDFStudy the given table carefully and answer the following question.
The table shows the percentage of students of four departments-Mechanical, Civil, Computer Science and Applied - with each student being in only one department. The table also shows the number of students of these four departments in five different colleges, with the total number of students being 2080.
|
College |
Number of Students |
Mechanical |
Civil |
Computer Science |
Applied |
|
IIT Delhi |
430 |
- |
20% |
- |
10% |
|
IIT Kanpur |
350 |
20% |
- |
25% |
- |
|
IIT Bombay |
- |
20% |
18% |
- |
32% |
|
IIT Madras |
- |
- |
25% |
18% |
35% |
|
IIT Guwahati |
400 |
20% |
22% |
- |
20% |
If the number of students in IIT Bombay is 20% less than the number of students in IIT Madras, then the number of students in IIT Bombay is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation
The number of students at IIT Bombay and in IIT Madras = 2080 - (430 + 350 + 400)
⇒ 2080 - 1180
⇒ 900
Let the number of students at IIT Madras be 5a.
The number of students at IIT Bombay = 5a - 5a × 20%
⇒ 4a
⇒ 5a + 4a = 900
⇒ 9a = 900
⇒ a = 100
4a → 400
The number of students at IIT Bombay is 400.
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