Question 13.

The ratio of the number of males to females is 5 : 4

The ratio of the number of literate males to literate females is 2 : 3.

The ratio of the number of illiterate males to illiterate females is 4 : 3.

Let,

The number of males to females is 5x, 4x

The number of literate males to literate females is 2y, 3y.

The number of illiterate males to illiterate females is 4z, 3z.

We know that the ratio of the number of males to females is 5 : 4

$\frac { 2 y + 4 z } { 3 y + 3 z } = \frac { 5 } { 4 }$

4(2y + 4z) = 5(3y + 3z)

8y + 16z = 15y + 15z

z = 7y

3600 males in the village are literate.

2y = 3600

y = 1800

Total number of females = 24y = 24(1800) = 43,200

The answer is '43200'