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      Question

      In a school, the average number of books that some

      numbers of boys have is 80 and average number of books that some numbers of girls have is 50. If each boy have read 5 books then the average numbers of unread books with all the students become 70. The total number of boys is what percentage of the total number of students in that school?
      A 60% Correct Answer Incorrect Answer
      B 30% Correct Answer Incorrect Answer
      C 80% Correct Answer Incorrect Answer
      D 40% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the total number of boys be x.  and the total number of girls be y. The total number of books boys have = 80x The total number of books the girls have = 50y If each of the boy have read 5 books, then the remaining number of unread books = 80x – 5x = 75x The sum of the all the books = 70(x + y) = 75x + 50y 20y = 5x x : y = 4 : 1 Required % = (4/5) × 100 = 80%

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