The total population of a village is 4,000. The number of males and females increases by 10% and 20% respectively and consequently the population of the village becomes 4500. What was the number of males in the village prior to the new members coming in?

Correct option is A

Given:

The initial population of the village is 4000, and the population after increases becomes 4500.

Solution:
Let the initial number of males be x, and thus the number of females is (4000 - x).
After a 10% increase, the number of males becomes 1.1x.
After a 20% increase, the number of females becomes 1.2(4000 - x).
The equation for the total population after the increase is:
Using KaTeX, the expressions are as follows:
1.1x + 1.2(4000 - x)= 4500
1.1x + 4800 - 1.2x = 4500
- 0.1x = -300
x = 3000
The initial number of males in the village was 3000