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# If no worker of Company X who worked there last year quit, how many wo

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Math Expert
Joined: 02 Sep 2009
Posts: 50711
If no worker of Company X who worked there last year quit, how many wo  [#permalink]

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16 Oct 2018, 23:29
00:00

Difficulty:

15% (low)

Question Stats:

75% (00:48) correct 25% (00:33) wrong based on 44 sessions

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If no worker of Company X who worked there last year quit, how many workers does the company have now on its payroll?

(1) Last year the ratio of the number of male workers to the number of female workers was 2 to 5.

(2) Since last year, Company X recruited 300 new male workers and no new female workers, raising the ratio of the number of male workers to the number of female workers to 2 to 3.

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Joined: 18 Jul 2018
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Re: If no worker of Company X who worked there last year quit, how many wo  [#permalink]

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20 Oct 2018, 06:44
1
Statement 1 is clearly insufficient as only ratio is given.

Statement 2 gives the ratio after the addition of 300 new male employees, but no info about the ratio before that. Hence insufficient.

Combining both:

Male:Females = 2:5

After 300 new males ratio becomes 2:3.

Now $$\frac{2x+300}{5x} = \frac{2}{3}$$

Solving gives x as 150.
Total employees = 5x = 5*150 = 750.

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Re: If no worker of Company X who worked there last year quit, how many wo &nbs [#permalink] 20 Oct 2018, 06:44
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