Question

A town population increased by 1200 people and then this now population decreased 11℅ the town had 32 less people than it did before the 1200 increase find the original population

Answer 1

A town's population increased by 1200 people, and then this new population decreased by 11%. Had the town 32 fewer people than it did before the 1200 increase find the original population?
Solution:
         Let the population of  town = x
     therefore , towns new population = x+1200 
         hence ,
           (x+1200) - 11/100(x+1200) = x - 32
           x+1200 -0.11x  - 132= x - 32
         x+1200 -132 - x + 32 = 0.11x
             1200 -164 = 11/100x
             100 (1200 -164) = 11x
or    x = 100/11(1036)
       x = 9418.18
or x=9418

Therefore original population of town = 9418.

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