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In 1997 there were 300 female employees at Company C. If the [#permalink]
17 Oct 2008, 07:39

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32% (00:54) wrong based on 79 sessions

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.

Re: In 1997 there were 300 female employees at Company C. If the [#permalink]
24 Oct 2008, 02:28

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.

Re: In 1997 there were 300 female employees at Company C. If the [#permalink]
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? _________________

If my post has contributed to your learning or teaching in any way, feel free to hit the kudos button ^_^

Re: In 1997 there were 300 female employees at Company C. If the [#permalink]
27 Feb 2013, 21:35

Expert's post

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?

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.

Re: In 1997 there were 300 female employees at Company C. If the [#permalink]
27 Feb 2013, 23:49

1

This post received KUDOS

Expert's post

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% _________________

Dmitry Farber | Manhattan GMAT Instructor | New York

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

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

Re: In 1997 there were 300 female employees at Company C. If the [#permalink]
03 Mar 2013, 01:15

1

This post received KUDOS

Expert's post

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. _________________

Dmitry Farber | Manhattan GMAT Instructor | New York

Re: In 1997 there were 300 female employees at Company C. If the [#permalink]
04 Aug 2014, 20:31

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Re: In 1997 there were 300 female employees at Company C. If the [#permalink]
07 Sep 2014, 14:40

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: In 1997 there were 300 female employees at Company C. If the [#permalink]
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

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