Find the Number of Boys Who Left the School :

In a school there were 1554 students and the ratio of the number of the boys and girls was 4:3. After few days, 30 girls joined the school but few boys left: as a result the ratio of the boys and girls became 7:6. The number of boys who left the school?

  1. 86
  2. 76
  3. 84
  4. 74
Anurag Mishra Professor Asked on 26th October 2015 in Maths.
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  • 1 Answer(s)

    Answer is (2): 76

    Explanation:-
    The total number of students in a school = 1554
    The ratio of the number of boys and girls = 4: 3

    Then, the number of boys in a school= 1554 x 4/7
     = 222 x 4
     = 888
    And the number of girls in the school = 1554 x 3/7
     = 222 x 3 
     = 666

    After few days, 30 girls joined the school but few boys left
    Then, the number of girls = 666 + 30
     = 696

    Then, the new ratio of boys and girls = 7: 6
    Let the number of boys be = 7 X and the number of girls be = 6 X
    Then, 6 X = 696
     X = 696/6
     X = 116

    So, the number of boys = 116 x 7
     = 812

    Then, the number of boys who left the school = 888 – 812
     = 76

    Hence, the answer is (2) 76.

    Monis Rasool Professor Answered on 28th October 2015.
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