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 females is 4:3. If 3600 males in the village are literate, then the total number of females in the village is

Answer 1

Correct Answer: 43200

The correct answer is 43,200:
The male-to-female ratio in the village is 5:4. For every 5 males, there are 4 females.
In terms of literacy, the ratio of literate males to literate females is 2:3.
Similarly, the ratio of illiterate males to illiterate females is 4:3.
Given that there are 3600 literate males in the village, we can deduce that the value of the common ratio for literacy (y) is 1800.
Consequently, the total number of females in the village is calculated by multiplying the common ratio for the male-to-female ratio (x) by 4 and then
by the literacy ratio's common ratio (y), resulting in a total of 43,200 females.
Hence, the answer is indeed 43,200.

Answer 2

The ratio of literate males to literate females is stated in the question as 2: 3.
 Considering that 3600 men are literate 
The proportion of female literate = \(\frac{3600}{2}\times3=5400\)
Male to Female Ratio: 5 to 4 
Assume that there are five men and four females. 
Male illiterates = 5y - 3600 
Female illiteracy = 4y - 5400 
It's given that, \(\frac{5y-3600}{4y-5400}=\frac{4}{3}\)
\(15y - 10800 = 16y - 21600 \)
\(y = 10800 \)
The total number of women \(= 4y = 4\times10800 = 43200.\)