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In 1997 there were 300 female employees at Company C. If the

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Jcpenny
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In 1997 there were 300 female employees at Company C. If the [#permalink] New post  Updated on: 20 Nov 2023, 07:29
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In 1997 there were 300 female employees at Company C. If the number of female employees at Company C increased by 60 percent from 1977 to 1987, by what percent did the number of female employees at Company C increase from 1987 to 1997?

(1) From 1977 to 1997 the number of female employees increased by 200 percent at Company C.
(2) In 1977 there were 100 female employees at Company C.


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Originally posted by Jcpenny on 17 Oct 2008, 07:39.
Last edited by Bunuel on 20 Nov 2023, 07:29, edited 2 times in total.
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DmitryFarber
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Re: In 1997 there were 300 female employees at Company C. If the [#permalink] New post  27 Feb 2013, 23:49
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Here's another way to look at it:

According to s1, the number of women went up by 200%. That's the same as tripling (original + 2*original), so we know there were originally 100 women. We have the same info as in s2.

For anyone who's not comfortable from there:

If there were 100 women in '77, a 60% increase would mean 160 women in '87. Now we just need to know the percent increase from 160 to 300. Since this is DS, there's no need to actually solve, but we'd just do difference/original:

140/160 = 14/16 = 7/8 = 87.5%
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Re: In 1997 there were 300 female employees at Company C. If the [#permalink] New post  24 Oct 2008, 02:28
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In 1997 there were 300 female employees at Company C. If the number of female employees at Company C increased by 60 percent from 1977 to 1987, by what percent did the number of female employees at Company C increase from 1987 to 1997?
(1) From 1977 to 1997 the number of female employees increased by 200 percent at Company C.
(2) In 1977 there were 100 female employees at Company C.


1997 = 300, 1977 = x

1987 = 1.6x

what is 300 - 1.6x

from 1

1997 = 3x, 3x = 300 , x =100 ..........suff

from 2

x = 100......suff

D
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DelSingh
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Re: In 1997 there were 300 female employees at Company C. If the [#permalink] New post  27 Feb 2013, 20:50
In 1997 there were 300 female employees at Company C. If the number of female employees at Company C increased by 60 percent from 1977 to 1987, by what percent did the number of female employees at Company C increase from 1987 to 1997?

(1) From 1977 to 1997 the number of female employees increased by 200 percent at Company C.
(2) In 1977 there were 100 female employees at Company C.


Source: GMAT Prep Question Pack 1
Rated: Medium

I understand statement 2, but can someone illustrate algebraically how statement 1 would work?
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Re: In 1997 there were 300 female employees at Company C. If the [#permalink] New post  27 Feb 2013, 21:35
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DelSingh wrote:
In 1997 there were 300 female employees at Company C. If the number of female employees at Company C increased by 60 percent from 1977 to 1987, by what percent did the number of female employees at Company C increase from 1987 to 1997?


1) From 1977 to 1997 the number of female employees increased by 200 percent at Company C.


2) In 1977 there were 100 female employees at Company C.

I understand statement 2, but can someone illustrate algebraically how statement 1 would work?


1977 ______________________ 1987_____________________________1997

100x _______________________160x ______________________________300


From F.S 1, we know that\(\frac{(300-100x)}{100x}*100\) equals 200. We can find out the value of x and consequently the percentage increase from 1987 to 1997. No need to calculate.

From F.S 2, we know that 100x = 100 . Thus again, we can directly calculate the value as required.

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Re: In 1997 there were 300 female employees at Company C. If the [#permalink] New post  28 Feb 2013, 21:28
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Given in question statement,

1977-----------------------1987-----------------------------1997
X..................................Y=1.3X..................................300

We have to find Y to get the answer i.e. % increase from 1987 to 1997. Also as this is DS question,
we no need to find the exact value of Y, if it computable in given condition, answer is Yes and if not, answer is NO


Statement 1:

X..................................Y............................................2X

From question statement and statement 1:

X= 150, and Y = 195 ......Yes Correct answer should A or D

Statement 2:

X = 100........................Y..................................300

From question statement and statement 2:

X= 100, and Y = 130 ......Yes Correct answer should B or D


So correct answer is D
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DmitryFarber
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Re: In 1997 there were 300 female employees at Company C. If the [#permalink] New post  03 Mar 2013, 01:15
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Careful, vipinktyagi. "Increased by 200%" means that the new value is equal to the original plus 200% of the original. In other words, the new value is 3x the old value, not 2x.

Note that if we got X=150 from statement 1 and X=100 from statement 2, we'd know something had gone wrong. The two statements will *never* contradict one another.
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Re: In 1997 there were 300 female employees at Company C. If the [#permalink] New post  17 Sep 2014, 21:22
An easier Approach for solving dis would be

1997: 300 F.
1977 :X ;
1987 : 1.6X;
What we need : % increase from 1987 to 1997 ??
STMT1 : Relation b/w 1977 and 1997 ;
1977:X ;
1997 : 3X ;
But from the question stem we know that 1997 Female employees were 300;
3x=300; X=100; Sufficient

STMT2 : 1977 : 100;
1987 : 160;
1997 : 300;
Sufficient.
Hence D;
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Re: In 1997 there were 300 female employees at Company C. If the [#permalink] New post  18 Sep 2019, 17:30
DmitryFarber wrote:
Careful, vipinktyagi. "Increased by 200%" means that the new value is equal to the original plus 200% of the original. In other words, the new value is 3x the old value, not 2x.

Note that if we got X=150 from statement 1 and X=100 from statement 2, we'd know something had gone wrong. The two statements will *never* contradict one another.


Hi DmitryFarber,

I have a question about the phrase "increased by 200%." When I first read the question I thought the equation would be 2X = 300 therefore X = 150. However, after reading the second statement which told me the number of female employees in 1977 is 100, I knew I did something wrong in the first statement. How would the phrase be different or what would it say for the equation to simply be 2X = 300 instead of having to set up a percent difference formula? Thank you in advance!
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Re: In 1997 there were 300 female employees at Company C. If the [#permalink] New post  22 Jan 2022, 09:41
Jcpenny wrote:
In 1997 there were 300 female employees at Company C. If the number of female employees at Company C increased by 60 percent from 1977 to 1987, by what percent did the number of female employees at Company C increase from 1987 to 1997?

(1) From 1977 to 1997 the number of female employees increased by 200 percent at Company C.
(2) In 1977 there were 100 female employees at Company C.




how can the answer be D

Second statement is not sufficient. original question gave the percent increase from 1977 to 1987.Nothing is given about the 1987-1997 part?

from the second statement, we can find that there were 160 female employees in 1987 but nothing can be inferred about the percent increased from 1987 to 1997
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