Question
In a school, 25% of the students like cricket, 40% like rugby and the rest like football. If the number of students who like football exceeds 50% of those who like rugby by 300, find the total number of students.
Solution
ATQ, Let the total number of students in the school be 100x. Number of students who like cricket = 100x * 25/100 = 25x Number of students who like rugby = 100x * 40/100 = 40x Number of students who like football = 100x – 25x – 40x = 35x 35x – (40x/2) = 300 35x – 20x = 300 15x = 300 x = 20 Total number of students in the school = 100 * 20 = 2000
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