Question
In a school, 15% students like cricket, 50% students
like rugby and the remaining students like football. If the number of football lovers is 250 more than 50% of rugby lovers, 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 × 15/100 = 15x Number of students who like rugby = 100x × 50/100 = 50x Number of students who like football = 100x − 15x − 50x = 35x According to the question, 35x − (50x/2) = 250 35x − 25x = 250 10x = 250 x = 25 Total number of students in the school = 100 × 25 = 2500
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