# 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

- 14:11
- 25:28
- 11:14
- 13:25

**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