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

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Carcass
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The ratio of the number of male and female workers in a company in 200 [#permalink] New post   10 Sep 2023, 09:58
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The ratio of the number of male and female workers in a company in 2002 was 3 : 4. The ratio of the number of male and female workers in 2003 was 10 : 7.

Quantity A
Quantity B
Percent increase in the number of males from 2002 to 2003
Percent increase in the number of females from 2002 to 2003


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

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A
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spirited5herry
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Re: The ratio of the number of male and female workers in a company in 200 [#permalink] New post   24 Sep 2023, 00:50
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in 2002: #m/#f=3/4

in 2003: #m/#f=10/7

men's growth: #men reached from 3 times of X to 10 times X in the next year, so:
(10-3)/3=7/3=>2.5%

women's growth: #women men reached from 4 times of X to 107times X in the next year, so:
(7-4)/4=3/4=> 0.75 %
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Re: The ratio of the number of male and female workers in a company in 200 [#permalink] New post   03 Nov 2023, 03:35
How can you say anything about a ratio?
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Re: The ratio of the number of male and female workers in a company in 200 [#permalink] New post   04 Nov 2023, 04:25
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This is a question about % increase or decrease

The ratio is just another way to calculate the two percentages
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Re: The ratio of the number of male and female workers in a company in 200 [#permalink] New post   07 Nov 2023, 02:59
What if the number of Males remains the same and number of female decreases then answer should be D
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Re: The ratio of the number of male and female workers in a company in 200 [#permalink] New post   07 Nov 2023, 05:47
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It depends how much is the decrease.

If the female back to 3 from 4 the ratio is the same BUT if decrease to 1 the A is the answer.

But because we are dealing with absolute numbers, we do KNOW how much is the decrease then and now, we will know the answer.

The decrease is certain NOT a possible range
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Re: The ratio of the number of male and female workers in a company in 200 [#permalink] New post   09 Nov 2023, 18:14
Carcass wrote:
It depends how much is the decrease.

If the female back to 3 from 4 the ratio is the same BUT if decrease to 1 the A is the answer.

But because we are dealing with absolute numbers, we do KNOW how much is the decrease then and now, we will know the answer.

The decrease is certain NOT a possible range


Hello, can you clarify what the absolute numbers are stated in the problem? The problem simply says, "ratio" but does not appear to actually give numbers.
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Re: The ratio of the number of male and female workers in a company in 200 [#permalink] New post   13 Jan 2025, 07:21
Carcass the answer should be D right?
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The ratio of the number of male and female workers in a company in 200 [#permalink] New post   13 Jan 2025, 07:53
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Sorry sir.

May I ask you why the answer should be D?
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Re: The ratio of the number of male and female workers in a company in 200 [#permalink] New post   13 Jan 2025, 08:08
Carcass wrote:
Sorry sir.

May I ask you why the answer should be D?


Because we are not given the totals. Eg. the total number of workers could 70 in 2002 (30:40 split) and 170 (100:70 split) OR 1700 (1000:700 split). Ratio for 2003 is the same in both cases but % change will be different
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Re: The ratio of the number of male and female workers in a company in 200 [#permalink] New post   13 Jan 2025, 09:42
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It does not matter

When the ratio is 3:4 , male to female

the numbers could be 75 :100 or 150:200

When you have the shift in the numbers (increasing or decreasing) the % change DO NOT change regardless the numbers

That's why the GRE is a test of logic
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The ratio of the number of male and female workers in a company in 200 [#permalink] New post   13 Jan 2025, 12:14
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Using algebra


In 2002

M F
3x 4x


In 2003

M F

10y 7y




Quant A


Percent increase of males


10y - 3x/3x X 100


Quant B

Percent increase in number of females

7y - 4x/ 4x X 100


Divide both sides by 100

A

10y - 3x/3x

B

7y - 4x/4x

Multiply both sides by 3x


A

10y - 3x



B

21y - 12x/4


Multiply both sides by 4


A

40y - 12x


B

21y - 12x

Add 12x to both sides


A

40y

B

21y


Answer A
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The ratio of the number of male and female workers in a company in 200 [#permalink]
13 Jan 2025, 12:14
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