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In Year X, 8.7 percent of the men in the labor force were un

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In Year X, 8.7 percent of the men in the labor force were un [#permalink] New post 23 Jan 2014, 02:28
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

In Year X, 8.7 percent of the men in the labor force were unemployed in June compared with 8.4 percent in May. If the number of men in the labor force was the same for both months, how many men were unemployed in June of that year?

(1) In May of Year X, the number of unemployed men in the labor force was 3.36 million.
(2) In Year X, 120,000 more men in the labor force were unemployed in June than in May.

Data Sufficiency
Question: 53
Category: Arithmetic Percents
Page: 156
Difficulty: 600


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Re: In Year X, 8.7 percent of the men in the labor force were un [#permalink] New post 23 Jan 2014, 02:28
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SOLUTION

In Year X, 8.7 percent of the men in the labor force were unemployed in June compared with 8.4 percent in May. If the number of men in the labor force was the same for both months, how many men were unemployed in June of that year?

(1) In May of Year X, the number of unemployed men in the labor force was 3.36 million --> 0.084*(total) = 3.36 million. We can find (total). Sufficient.

(2) In Year X, 120,000 more men in the labor force were unemployed in June than in May --> (0.087-0.084)*(total) = 120,000. We can find (total). Sufficient.

Answer: D.
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Re: In Year X, 8.7 percent of the men in the labor force were un [#permalink] New post 23 Jan 2014, 03:15
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

In Year X, 8.7 percent of the men in the labor force were unemployed in June compared with 8.4 percent in May. If the number of men in the labor force was the same for both months, how many men were unemployed in June of that year?

(1) In May of Year X, the number of unemployed men in the labor force was 3.36 million.
(2) In Year X, 120,000 more men in the labor force were unemployed in June than in May.




All we need is the number of Employees in June to answer this question

Let the total number of employees in May and June be X

1)8.4 % of X=3.36 Million, we can find X
Sufficient

2) 8.7% of X - 8.4% of X=120,000
Here again we can find the value of X
Sufficient

Answer D

(X=40 Million)
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Re: In Year X, 8.7 percent of the men in the labor force were un [#permalink] New post 23 Jan 2014, 03:20
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In Year X, 8.7 percent of the men in the labor force were unemployed in June compared with 8.4 percent in May. If the number of men in the labor force was the same for both months, how many men were unemployed in June of that year?

(1) In May of Year X, the number of unemployed men in the labor force was 3.36 million.
(2) In Year X, 120,000 more men in the labor force were unemployed in June than in May.


Sol: Let the Number of men in the Labour force be "X"

Attachment:
Table.PNG
Table.PNG [ 3.44 KiB | Viewed 954 times ]


So the given information in the Question stem can be put in the table as follows

From St 1 we have that 0.084*X= 3.36 Million ----> We can find X and hence find the value of 0.087*X. Sufficient
From St 2, we have that (0.087X-0.084X)= 120,000
So 0.003X= 120,000 We can find X and can find 0.087 X

Ans D

Difficulty level I will put it around 650
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Re: In Year X, 8.7 percent of the men in the labor force were un [#permalink] New post 23 Jan 2014, 23:49
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In Year X, 8.7 percent of the men in the labor force were unemployed in June compared with 8.4 percent in May. If the number of men in the labor force was the same for both months, how many men were unemployed in June of that year?

(1) In May of Year X, the number of unemployed men in the labor force was 3.36 million.
(2) In Year X, 120,000 more men in the labor force were unemployed in June than in May.


Given that,
(a) Total Men in May = Total Men in June
(b) Unemployed Men in May = 8.4% of Total Men
(c) Unemployed Men in June = 8.7% of Total Men

To find: Unemployed men in June

Statement 1

From (b) above,
Unemployed Men in May = 8.4% of Total Men

Or, Total Men*(0.084) = 3.36 Million

Or, Total Men = \frac{3.36 Million}{0.084}

Substituting in (c) above, Unemployed Men in June= 8.7% of Total Men = 0.087* \frac{3.36 Million}{0.084} = 3.48 Million

Statement(1) alone is sufficient .........................(B) (C) E)

Statement 2
Difference in Unemployed Men in June and May = 8.7% of Total Men- 8.4%of Total Men =(0.087-0.084)*Total Men

Or, 0.003* Total Men = 120000

Or, Total Men = \frac{120000}{0.003}

Substituting in (c) above, Unemployed Men in June= 8.7% of Total Men = (0.087)*(\frac{120000}{0.003}) =3.48 Million

Statement(2) alone is sufficient .........................(A)

Answer: (D)
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Re: In Year X, 8.7 percent of the men in the labor force were un [#permalink] New post 26 Jan 2014, 09:15
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SOLUTION

In Year X, 8.7 percent of the men in the labor force were unemployed in June compared with 8.4 percent in May. If the number of men in the labor force was the same for both months, how many men were unemployed in June of that year?

(1) In May of Year X, the number of unemployed men in the labor force was 3.36 million --> 0.084*(total) = 3.36 million. We can find (total). Sufficient.

(2) In Year X, 120,000 more men in the labor force were unemployed in June than in May --> (0.087-0.084)*(total) = 120,000. We can find (total). Sufficient.

Answer: D.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: In Year X, 8.7 percent of the men in the labor force were un   [#permalink] 26 Jan 2014, 09:15
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