Question

Number of boys and girls in a class are in the ratio 7 : 5. The number of boys is 8 more than the number of girls. The total class strength is

(a) 56

(b) 52

(c) 48

(d) 36

Answer 1

Ratio in boys and girls in a class = 7 : 5

Let no. of boys = 7x

Then no. of girls = 5x

Given condtion: The number of boys is 8 more than the number of girls.

$\therefore$ 7x - 5x = 8

$\Rightarrow$ 2x = 8

$\Rightarrow x=\frac{8}{2}=4$

$\therefore$ Total strength = 7x + 5x = 12x

= 12 $\times$ 4 = 48

Hence, the correct option is C, (48)