Question

a town's population increased by1200 people,and then this new population decreased 11%.the town now had 32 less people thanit did before the 1200 increase.find the original population.

Answer 1

Answer:
     
Let the initial population of town =x
   New Population  = x+1200
  Decreased new  population = (100 -11 )%(x+1200) 
 Also , Decreased new Polulation = x- 32
Therefore ,
        x - 32 = 89%(x+1200)
       x - 32 = 89/100 (x+1200)
        100(x-32) = 89(x+1200)
or 100x - 3200  = 89x + 106800
or 100x  - 89x = 106800 - 3200 
11x = 100(1068 -32)
or 11x = 100(1036)
or x = 103600/11
or x= 9418.18 
Since population cannot be in Fractions , therefore we take it as 8419 
hence initial population is 8419.

Hope this helps you!!
Thank You!!!