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# The ratio of the number of male and female workers in a company in 200

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
The ratio of the number of male and female workers in a company in 200  [#permalink]

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16 Oct 2018, 23:32
00:00

Difficulty:

65% (hard)

Question Stats:

56% (01:41) correct 44% (01:34) wrong based on 69 sessions

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The ratio of the number of male and female workers in a company in 2002 was 3 : 4. Was the percent increase in the number of men more than that in the number of women from 2002 to 2003?

(1) The ratio of the number of male workers in 2002 to 2003 was 3 : 5.

(2) The ratio of the number of male and female workers in 2003 was 10 : 7.

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Re: The ratio of the number of male and female workers in a company in 200  [#permalink]

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18 Oct 2018, 14:04
Bunuel wrote:
The ratio of the number of male and female workers in a company in 2002 was 3 : 4. Was the percent increase in the number of men more than that in the number of women from 2002 to 2003?

(1) The ratio of the number of male workers in 2002 to 2003 was 3 : 5.

(2) The ratio of the number of male and female workers in 2003 was 10 : 7.

3:4:7 (7 is the total) this is the ratio for male:female:total in 2002

We want to compare percentage increase of male and female in 2002 vs 2003.

Statement 1) tells us only about males from that only we cannot decide on females.

Statement 2) tells us the new ratio is 10:7:17 male:female:total

Now the males are 10/17 > 1/2 whereas previously they were 3/7 < 1/2

Females were 4/7 > 1/2 and now they are 7/17 < 1/2

Sufficient

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Re: The ratio of the number of male and female workers in a company in 200  [#permalink]

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18 Oct 2018, 23:21
Hi,

Question is about basic ratio concept.

Given,

The ratio of the number of male and female workers in a company in 2002 was 3 : 4.

i.e., Number of males are 3*x

Number of females are 4*x

In 2002, number of males are less than the number of females.

Here males proportion is 3/7 and females proportion is 4/7

Question:

Was the percent increase in the number men more than that in the number of women from 2002 to 2003 ?

Statement I is insufficient:

The ratio of the number of male workers in 2002 to 2003 was 3 : 5.

So not sufficient.

Statement II is sufficient:

The ratio of the number of male and female workers in 2003 was 10 : 7

It says,

The number of males were 10*y

The number of females were 7*y

In 2003, number of males are less than the number of females.

Here males proportion is 10/17 and females proportion is 7/17. Males proportion has increased in 2003.

So, definitely the percent increase in the number of males are more than the number of females.

So sufficient.

Hope this helps
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Re: The ratio of the number of male and female workers in a company in 200   [#permalink] 18 Oct 2018, 23:21
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