In a college, if 15% of the boys are the same in number as one-third of the girls, then find the ratio of the number of boys to that of girls in the college.

Correct option is C

GIVEN:
15% of B = 1 / 3 × G
FORMULA USED:

Percentage = $$\frac{value }{Total \ value} × 100$$​​
SOLUTION:
15% of B = $$\frac{1} 3$$​ × G
=>$$\frac{ 15} { 100}$$​ × B = $$\frac{1} 3$$​ × G
=> B = $$\frac{1} 3$$​ × G × $$\frac{100} {15}$$​​

=> $$\frac{B} G = \frac{1} 3 × \frac{100} { 15}$$​​

=> $$\frac{B} G = \frac{100 }{ 45}$$​​

=> $$\frac{B} G = \frac{20} 9$$​​
=> B : G = 20 : 9