Question
In a school, 18% students like cricket, 46% students
like rugby and the remaining students like football. If the number of football lovers exceeds 50% of rugby lovers by 260, 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 × 18/100 = 18x Number of students who like rugby = 100x × 46/100 = 46x Number of students who like football = 100x − 18x − 46x = 36x According to the question, 36x − (46x/2) = 260 36x − 23x = 260 13x = 260 x = 20 Total number of students in the school = 100 × 20 = 2000
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