64% of students in a college play badminton, 26%of the students play hockey and the number of students who play both the game is 405. The number of students who play neither badminton nor hockey is 45%. Find the population of students in the college?
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Answer:
900 students
Step-by-step explanation:
Percentage of students that play Badminton = 64% (Given)
Percentage of students that play Hockey = 26% (Given)
Number of students that play both the games is = 405 (Given)
Let the number of students in the college be = 100
Then, the number of students who play both the games
= 64+26 – 45
= 90 – 45
= 45
If 45 students play both the games , then total number of students = 100
If 405 play both the games , then the total number of students
= (100*405)/45
= 40500/45
= 900
Therefore, the total number of students in college is 900.
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