Question
In a school, 22% students like cricket, 44% students
like rugby and the rest like football. If football lovers are 360 more than 50% of rugby lovers, 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 × 22/100 = 22x Number of students who like rugby = 100x × 44/100 = 44x Number of students who like football = 100x − 22x − 44x = 34x According to the question, 34x − (44x/2) = 360 34x − 22x = 360 12x = 360 x = 30 Total number of students in the school = 100 × 30 = 3000
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