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


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%
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Re: In Country C, the unemployment rate among construction worke [#permalink] New post 30 Apr 2014, 21:05
Assume there are 1000 construction workers in the year 1992.
Then tabulate as per the question

1996 1992
Contruction Workers 1200 1000
Unemployed Workers 108 160


Simply find out...((final - initial)/initial)*100

Option B is right :)
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Re: In Country C, the unemployment rate among construction worke [#permalink] New post 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?

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

Looking for someone who did this using equations....
Anyone like that here?
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OG question...Can anyone help me with the alternate solution [#permalink] New post 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.

Please explain

Thanks in advance.
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Re: OG question...Can anyone help me with the alternate solution [#permalink] New post 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
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Re: In Country C, the unemployment rate among construction worke [#permalink] New post 13 Jul 2014, 03:31
Expert's post
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.


Merging similar topics. Please refer to the discussion above.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to rules 1, 3, and 7! Thank you.


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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: In Country C, the unemployment rate among construction worke [#permalink] New post 27 Jul 2014, 00:52
Anyone did this without picking numbers?
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Re: In Country C, the unemployment rate among construction worke [#permalink] New post 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?

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




say in 1992 - 25 ppl & 16% unemployment rate then 4 ppl .
say in 1996 - 20% increase then 30 ppl & 9%unemployment rate then 2.7

4-2.7/4 = 32.5 % then i have chosen B.. pretty time consuming for choosing numbers.
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Re: In Country C, the unemployment rate among construction worke [#permalink] New post 11 Sep 2014, 22:12
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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%.

For more on this concept, check:
http://www.veritasprep.com/blog/2011/02 ... e-changes/
http://www.veritasprep.com/blog/2011/02 ... nt-profit/
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Re: In Country C, the unemployment rate among construction worke   [#permalink] 11 Sep 2014, 22:12
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