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Study the given table carefully and answer the following question. The table shows the percentage of students of four departments - Mechanical, Civi
Question

Study 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:

A.

300

B.

500

C.

200

D.

400

Correct option is D

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 in IIT Bombay is 400.


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