Population of a town increased by 1200 persons in a year and then this new population decreased by 11% during the next year. If the town now has 32 persons less than it had before the increase, then the original population of the town is:
The correct option is A. 10000
Let x be the original population,
Population increased by 1200,
hence, new population is 1200+x
Now, the population decreased by 11%, now population is
=(1200+x)−11100(1200+x)
Also, population =x−32
Thus, (1200+x)−11100(1200+x)=x−32
⇒(1−11100)(1200+x)=x−32
⇒89100(1200+x)=x−32
⇒89(1200+x)=100(x−32)
⇒106800+89x=100x−3200
⇒100x−89x=106800+3200
⇒11x=110000
⇒x=11000011
⇒x=10,000
Hence, option 'B' is correct.