The population of a town is 15000. If the number of males increases by 8% and that of females by 10%, then the population would increase to 16300. Find the number of females in the town.

If the number of females be x, then, number of

males = 15000 – x

$herefore quad x imes frac{10}{100}+(15000-x) imes frac{8}{100}$

$=16300-15000$

$Rightarrow 10 x+120000-8 x=1300 imes 100$

$Rightarrow 2 x=130000-120000=10000$

$Rightarrow x=5000$