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

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

by Brent@GMATPrepNow » Wed Aug 05, 2020 9:35 am

GMATprofessional21 wrote: ↑
Wed Aug 05, 2020 7:02 am
A 19
B 21
C 22
D 23
E 24

We need to convert the following to a percent: (2105 - 1705)/2105
Simplify: 400/2105
Pro tip: 400/2000 = 40/200 = 20/100 =20%

Since 2105 > 2000, we know that 400/2000 is a little bit less than 20%

Answer: A

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Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8083; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

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

by Scott@TargetTestPrep » Mon Aug 10, 2020 10:27 am

GMATprofessional21 wrote: ↑
Wed Aug 05, 2020 7:02 am
A 19
B 21
C 22
D 23
E 24

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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