Question

In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total number of students in the college is

• A. 300
• B. 480
• C. 520
• D. 670

Answer 1

The correct option is C 520

Given: Ratio of number of boys to girls = 8 : 5

Now, we have to find the total number of students in the college, if there are 200 girls.

$\Rightarrow$ 8 : 5 = (no. of boys) : 200
(both are equivalent ratios)
$\Rightarrow$ 8 : 5 = (no. of boys) : 5 $\times$ 40
$\Rightarrow$ Number of boys = 8 $\times$ 40 = 320

Now, total number of students in college
= number of boys + number of girls
= 320 + 200 = 520

Therefore, the total number of students in the college is 520.