Question
In a school, 32% students like cricket, 34% students
like rugby and the rest like football. If football lovers are 340 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 × 32/100 = 32x Number of students who like rugby = 100x × 34/100 = 34x Number of students who like football = 100x − 32x − 34x = 34x According to the question, 34x − (34x/2) = 340 34x − 17x = 340 17x = 340 x = 20 Total number of students in the school = 100 × 20 = 2000
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