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In Country C, the unemployment rate among construction worke

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

(A) 50% decrease
(B) 30% decrease
(C) 15% decrease
(D) 30% increase
(E) 55% increase
[Reveal] Spoiler: OA
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Re: In Country C, the unemployment rate among construction worke [#permalink] New post 12 Dec 2012, 04:03
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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?

(A) 50% decrease
(B) 30% decrease
(C) 15% decrease
(D) 30% increase
(E) 55% increase


September 1, 1992
The total number of construction workers = 1,000 (assume);
16% are unemployed, thus the number of unemployed workers = 160.

September 1, 1996
The total number of construction workers = 1,200 (20% greater);
9% are unemployed, thus the number of unemployed workers = 108.

Decrease is 52, which is approximately 30% of 160.

Answer: B.
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Re: In Country C, the unemployment rate among construction worke [#permalink] New post 14 Aug 2013, 00:25
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Re: In Country C, the unemployment rate among construction worke [#permalink] New post 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%)
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Re: In Country C, the unemployment rate among construction worke [#permalink] New post 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?

(A) 50% decrease
(B) 30% decrease
(C) 15% decrease
(D) 30% increase
(E) 55% increase


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] 29 Nov 2013, 16:19
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