Question

A town's population increased by 1200 people, and then this new population decreased 11%. The town now had 32 less people than it did before the 1200 increase. Find the original population.

Answer 1

Answer:10000

Step-by-step explanation:

take initial population as x then

x+1200-11/100(x+1200)=x-32

solving this we get x=10000

Answer 2

Answer:

Step-by-step explanation:

Ler the population be x

Now new population after increase of 1200 is x+1200

Percentage of new population decrease is 11%

No. Of people decreased

11/100 X (x+1200)

(11x +13200)/100

Now population is

(x+1200)-(11x+13200)/100

[100(x+1200)-(11x+13200)]/100

[100x+120000-11x-13200]/100

[89x+106800]/100

The town now had 32 less people than it had before the increase of 1200

A/Q

x-32=[89x+106800]/100

100(x-32)=89x+106800

100x-3200=89x+106800

100x-89x=106800+3200

11x = 110000

x=110000/11

x= 10000

Original population=10000