Question

A towns population increased by 1200 people, and then this new population decreased by 11%. The town had 32 less people than it did before the 1200 increase find the original population?

Answer 1

Let's assume total population= p
So increased population= p+1200

Now after 11% decrease population= p-32

So total decreased population= 1200+32= 1232

11% of 1200 = 1200×11/100 =132
So 11% of p = 1232-132 = 1100

If 11% of p = 1100
Then 1% of p = 1100/11
and 100% of p = 1100/11×100 =10000
So original population was= 10000

Answer 2

Answer: 10000

Step-by-step explanation:

Let the original population=x

Population increased=1200

Therefore, population after 1200 people increased=x+1200

After,population decreased=11%

Implies,{(x+1200)-[11%of(x+1200)]}

         = (x+1200)(1-11%)

By the problem,new population decreased original population by 32

Implies,(x+1200)(1-11%)=x-32

            (x+1200)(89/100)=x-32

            89x+106800=100(x-32)

            89x+106800=100x-3200

            11x=110000            

            x=10000

Therefore,the original population (x)=10000