The population of the village is 5000.  If in a year, the number of males were to increase by 5% and that of a female by 3% annually, the population would grow to 5202 at the end of the year.   Find the number of males and females in the village.

Let the number of Males be x and females be y

Ans:    x + y = 5000

x + 5/100 x + y + 3 y/100=5202                  ...1

⇒5x+3y = 20200                                ...2

=>On solving 1 & 2 we get x= 2600       y=2400

No. of males = 2600

No. of females = 2400