A town’s population increased by 1200 people, and then this new population decreased by 11%. The town had 32 people less than the number of people it had before 1200 people increased. Find the original population of the town.

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10000

11000

12000

13000

answer is A.

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Detailed Solution

Let the population be P. The increased population = P+1200
Since, population decrease after 11% = P−32. Total population decrease = 1200+32= 1232
Now,
11% of 1200 =

\frac{11}{100} \times 1200

11 % of P = 1232 - 132

11 % of P = = 1100

1 % of P = = \frac{1100}{11}

100 % of P = = \frac{1100}{11}

×100
So, the population is 10000
Correct option is 1.

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