Ratio of Boys to Girls is

In a class, the number of boys is more than the number of girls by 12% of the total strength. The ratio of boys to girls is

  1. 14:11
  2. 25:28
  3. 11:14
  4. 13:25
Monis Rasool Professor Asked on 25th May 2015 in Maths.
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1 Answer(s)

Answer: (a) 14: 11
Explanation:-

Let be the total number of students in the class = X
then, 12% of the total students = X x 12/100 = 3X/25

Let be the total number of the girls in the class = Y

The number of boys = Number of girls + 12% of the total students
= Y + 3X/25
Now total number of students = number of boys + number of girls
X = Y + Y + 3X/25
X = 2Y + 3X/25
2Y = X – 3X/25 = 22X/25
Y = 22X/25 x 2 = 11X/25
Y = 11X/25   ………………………….(1)

The number of boys: the number of girls = (Y + 3X/25): Y
= (11X/25 + 3X/25): Y                      From equation (1)
= 14/11 = 14:11
The ratio of boys and girls = 14: 11

Anurag Mishra Professor Answered on 25th May 2015.
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