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:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 400
Given that
The total number of students at five different colleges is 2080.
the number of students in IIT Delhi = 430
the number of students in IIT Kanpur = 350
the number of students in IIT Guwahati = 400
If the number of students in IIT Bombay is 20% less than the number of students in IIT Madras,
Let the number of students in IIT Madras be x
According to the question
The number of students in IIT bombay + the number of students in IIT Madras = 2080 - (430 + 350 + 400) = 2080 - 1180 = 900
⇒ 0.8x + x = 900
⇒ 1.8x = 900
⇒ x = 500
Hence, the number of students in IIT Bombay = 0.8x = 0.8 × 500 = 400