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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