what will be the percentage?

The ratio of the number of boys and girls in a school is 3:2. If 20 % of the boys and 25% of the girls are scholarship holders, then the percentage of the students who do not get the scholarship is:

  1. 68%
  2. 78%
  3. 82%
  4. 72%
Anurag Mishra Professor Asked on 7th January 2016 in Maths.
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  • 1 Answer(s)

    Answer: (2) 78%

    Solution:-
    The ratio of the number of boys and girls in a school = 3: 2
    Le the number of boys in a school be 3 X and the number of girls be 2 Y

    If 20% of the boys and 25% of the girls are scholarship holders,
    Then, scholarship holders boys = 3 X x 20/100
    = 3 X/5
    Scholarship holders girls = 2 Y x 25/100
    = Y/2

    Then, the percentage of students scholarship holders = (3 /5 + 1/2) x 100/(3 + 2)
    = 11 x 100/10 x 5
    = 11 x 2
    = 22 %

    Thus, the percentage of students who do not get scholarship = 100 – 22
    = 78%

    Hence, the correct answer is option (2) 78%.

    Anurag Mishra Professor Answered on 8th January 2016.
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