Question
In a school, 25% students like cricket, 40% students
like rugby and the rest like football. If the number of students who like football is 300 more than 50% of those who like rugby, find the total number of students in the school.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 According to the question, 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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