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

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Math Expert
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In Year X, 8.7 percent of the men in the labor force were un [#permalink]  23 Jan 2014, 02:28
Expert's post
00:00

Difficulty:

25% (low)

Question Stats:

79% (02:11) correct 21% (01:27) wrong based on 83 sessions
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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Math Expert
Joined: 02 Sep 2009
Posts: 19041
Followers: 3366

Kudos [?]: 24480 [0], given: 2680

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

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Kudos [?]: 47 [0], given: 147

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

(X=40 Million)
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Kudos [?]: 266 [1] , given: 648

Re: In Year X, 8.7 percent of the men in the labor force were un [#permalink]  23 Jan 2014, 03:20
1
KUDOS
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 [ 3.44 KiB | Viewed 724 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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Kudos [?]: 39 [1] , given: 40

Re: In Year X, 8.7 percent of the men in the labor force were un [#permalink]  23 Jan 2014, 23:49
1
KUDOS
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)

Math Expert
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Posts: 19041
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Kudos [?]: 24480 [0], given: 2680

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

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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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