If the population of Townville went from 2105 to 1705, then the percen

Question

If the population of Townville went from 2105 to 1705, then the percent decrease in population is closest to

A. 19
B. 21
C. 22
D. 23
E. 24

CareerGeek · Answer

% decrease = (Initial value - Final value)/Initial value * 100 =  \frac{(2105 - 1705)}{2105}*100 = \frac{400}{2105}*100 = \frac{400}{21} = 19  approx

IMO Option A

BrentGMATPrepNow · Answer

Convert the following to a percent:  \frac{(2105 - 1705)}{2105} = \frac{400}{2105}

Pro tip :  \frac{400}{2000}=\frac{40}{200}=\frac{20}{100}=20%

Since  2105>2000 , we know that  \frac{400}{2000}  is  less than 20%

Answer: A

Cheers,
Brent

ScottTargetTestPrep · Answer

Solution:
 
We use the percent change formula: (New - Old) / Old x 100:

(1705 - 2105) / 2105 x 100 ≈ (1700 - 2100) / 2100 x 100 = -400/2100 x 100 = -400/21 ≈ 19

The negative value indicates a percent decrease. We see that the percent decrease in population is approximately 19 percent.

Answer: A

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