CAT 2022 Slot 1 QA Question 3: In a village, the ratio of number of males to females is $5 : 4$. The ratio of number of literate males to literate females is $2 : 3$. The ratio of the number of illiterate males to illiterate female

Question

In a village, the ratio of number of males to females is $5 : 4$. The ratio of number of literate males to literate females is $2 : 3$. The ratio of the number of illiterate males to illiterate female

Accepted Answer

Let the total number of males and females be $5t$ and $4t$ respectively.
Literate males = $3600$
Literate males : literate females = $2 : 3$
Literate females = $3600 	imes \dfrac{3}{2} = 5400$
Illiterate males = $5t - 3600$
Illiterate females = $4t - 5400$
$\dfrac{5t - 3600}{4t - 5400} = \dfrac{4}{