Solution: Let the number of the boys be 100b and the number of girls is 100g, then we get the total number of students to be 100(b + g).

As we are dealing with percent, according to the IVY approach take ‘100’ as total, and b and g are the initials of the words ‘boys’ and “girls” respectively.

Also this question is applied by the IVY Approach, Each Each Together

=> 80 percent of the boys: \(\frac{60}{100}\)* 100b = 80b (Each)

=> 20 percent of the girls: \(\frac{20}{100}\) * 100g = 20g(Each)

=> 75 percent of all the students: \(\frac{75}{100}\) * 100(b + g) = 75(b + g) (Together)

Then, we get 80b + 20g = 75(b + g) = 75b + 75g.

Rearranging gives us that 80b – 75b = 75g – 20g

=> 5b = 55g, b = 11g.

Ratio of number of girls who did not play basketball : Ratio of number of boys who plays basketball:

=> 80g : 80b = g : b = g : 11g = 1 : 11

=> 1:11

Thus, the ratio of number of girls to the number of boys: 1:11

Therefore, C is the correct answer.

Answer C