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In Country C, the unemployment rate among construction worke [#permalink]
12 Dec 2012, 03:55

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Difficulty:

75% (hard)

Question Stats:

62% (02:58) correct
38% (02:28) wrong based on 586 sessions

In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

Re: In Country C, the unemployment rate among construction worke [#permalink]
12 Dec 2012, 04:03

17

This post received KUDOS

Expert's post

2

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Walkabout wrote:

In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

Re: In Country C, the unemployment rate among construction worke [#permalink]
24 Sep 2013, 05:37

From 92 - 96 -> 20% inc in # construction workers From 92 - 96 -> 7% dec in unemployment -> +7% to # of construction workers 20% + 7% = 27% -> (B -> 30%)

Re: In Country C, the unemployment rate among construction worke [#permalink]
29 Nov 2013, 16:19

Walkabout wrote:

In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

Since the problem is percentage related, I just assumed the total number of workers in 1992 was 100. => total unemployed in 92 = 16 There was a 20% increase in the number of workers between 92 and 96 => Total workers in 96 = 100 + 100(20/100) = 120. There was a change of 9% in the unemployment rate from 92 to 96. => Total unemployed in 96 = 120 * 9/100 = 11 (approximately)

Now the actual question - change in the unemployed construction workers => (unemployed in 92 - unemployed in 96) / unemployed in 92 => (16-11)/16 * 100 = -30 approximately. => 30% decrease.

Re: In Country C, the unemployment rate among construction worke [#permalink]
30 Apr 2014, 18:52

1

This post was BOOKMARKED

Walkabout wrote:

In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

This problem is a prime candidate for picking numbers. Since the question is dealing with percents I decided to go use 100. Once you pick easy to work with numbers just pick apart the questions slowly

Unemployment rate 1992 was 16% ---> I'm starting with 100 workers therefore 16 are unemployed

In 1996 the number of workers increased 20% ---> there are now 120 workers. ---> 9% unemployed would equal to 10.8% (the question uses the word approximately which told me I'm definitely rounding some numbers) so 11%

Percent change formula [Difference][/Original] X 100 = [5][/16] X 100 = ~30%

Re: In Country C, the unemployment rate among construction worke [#permalink]
14 Jun 2014, 08:06

Walkabout wrote:

In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

OG question...Can anyone help me with the alternate solution [#permalink]
12 Jul 2014, 21:49

In CountryC, the unemployment rate among construction workers dropped from 16 percent on September 1,1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1,1996, than on September 1,1992, what was the approximate percent change in the number of unemployed construction workers over this period? (A) 50% decrease (B) 30% decrease (C) 15% decrease (D) 30% increase (E) 55% increase

In OG explanation is given but its too much time consuming and confusing for me. Anyone has tried any other way ??? Or anyone has tried to solve this question with pick number strategy...I tried but I am not getting correct answer.

Re: OG question...Can anyone help me with the alternate solution [#permalink]
12 Jul 2014, 23:06

GGMAT760 wrote:

In CountryC, the unemployment rate among construction workers dropped from 16 percent on September 1,1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1,1996, than on September 1,1992, what was the approximate percent change in the number of unemployed construction workers over this period? (A) 50% decrease (B) 30% decrease (C) 15% decrease (D) 30% increase (E) 55% increase

In OG explanation is given but its too much time consuming and confusing for me. Anyone has tried any other way ??? Or anyone has tried to solve this question with pick number strategy...I tried but I am not getting correct answer.

Please explain

Thanks in advance.

1992 1996 No of construction workers 100 120 Unemployment Rate 16% 9% Unemployed workers 16 11

% change in unemployed workers=(16-11)=5/16=~33% decrease Closest ans=30% decrease Ans=B

Re: In Country C, the unemployment rate among construction worke [#permalink]
11 Sep 2014, 10:57

Walkabout wrote:

In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

Re: In Country C, the unemployment rate among construction worke [#permalink]
11 Sep 2014, 22:12

Expert's post

1

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ronr34 wrote:

Anyone did this without picking numbers?

Yes, you can do it using the successive percentage change concept too.

Number of unemployed construction workers = Number of Construction Workers * Unemployment rate

If there is a change in the number of construction workers and unemployment rate, we can find the change in the number of unemployed construction workers.

Number of construction workers is 20% greater i.e. 6/5 of previous value Unemployment rate reduces from 16 to 9 i.e. becomes 9/16 of previous value

Multiplier for number of unemployed construction workers = 6/5 * 9/16 = 27/40

This is a reduction of 13/40 which is a little more than 30%.

Re: In Country C, the unemployment rate among construction worke [#permalink]
30 Oct 2014, 02:07

monkeya41 wrote:

From 92 - 96 -> 20% inc in # construction workers From 92 - 96 -> 7% dec in unemployment ->+7% to # of construction workers 20% + 7% = 27% -> (B -> 30%)

Anyone could explain how 7% increase formulates the 20%+7% and how can I get the decrease/increase result from this?

gmatclubot

Re: In Country C, the unemployment rate among construction worke
[#permalink]
30 Oct 2014, 02:07

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