Question

The population of a city is 5000 . if the male population is incresed by 5% and female population is increased by 10% then the pop;ulation becomes 5350 . eind the population of male in town

Answer 1

Let the total male population=x Let the total female population=y A.T.Q x+y=5000......eq.1 Also 5/100*x+x+10/100*y+y=5350 x/20+x+y/10+y=5350 21x/20+11y/10=5350 21x+22y/20=5350 21x+22y=107000......eq.2 Multiply eq.1 with 21 21x+21y=105000.......eq.3 Sub. eq.3 from eq.2 21x+22y=107000 21x+21y=105000 - y=2000 Put y=2000 in eq.1 x=3000 Population of male=3000  Population of female=2000