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40 percent of the ducks included in a certain side effects study were

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40 percent of the ducks included in a certain side effects study were  [#permalink]

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New post 24 Apr 2016, 06:13
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40 percent of the ducks included in a certain side effects study were male. If some of the ducks had side effects during the study and 30 percent of the ducks who had side effects were male, what was the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks?

A. 1/4
B. 9/14
C. 2/3
D. 7/8
E. 8/7

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Re: 40 percent of the ducks included in a certain side effects study were  [#permalink]

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New post 19 Jan 2017, 04:52
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Hi sairam595,

Word problems on the GMAT can be really tricky. The best thing to do when you solve word problems is to read the question in parts rather than reading the entire question. Also keep in mind that when you deal with questions related to percentages, it always makes sense to start with an initial value of 100.

So lets work this question out part by part.

40 percent of the ducks included in a certain side effects study were male

Now if we assume the total number of ducks to be 100, then we have 40 male ducks and 60 female ducks

If some of the ducks had side effects

Let the number of ducks who have side effects be 's'.

30 percent of the ducks who had side effects were male

This means that the number of males who had side effects is 0.3s and the number of females who had side effects is 0.7s

What was the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks?

The side effect rate for male ducks = Number of male ducks with side effects/Total number of males ducks -----> (0.3s)/40

The side effect rate for male ducks = Number of male ducks with side effects/Total number of males ducks -----> (0.7s)/60

Ratio = (0.3s)/40 : (0.7s)/60

Simplifying we get 9/14

Hope this helps!

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Re: 40 percent of the ducks included in a certain side effects study were  [#permalink]

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New post 24 Apr 2016, 07:10
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40 percent of the ducks included in a certain side effects study were male. If some of the ducks had side effects during the study and 30 percent of the ducks who had side effects were male, what was the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks?
A. 1/4
B. 9/14
C. 2/3
D. 7/8
E. 8/7

Say total male = 40
Total female =60

Required ratio =( .3/40)/ (.7/60) = 9/14 B is the answer

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Re: 40 percent of the ducks included in a certain side effects study were  [#permalink]

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New post 18 Jan 2017, 14:00
This question doesn't sound complete to me. "SOME" of the ducts had side effects and out of these "SOME" ducks, 30% are male, so the other 70% are female.
SOME could be 10 ducks or even 100 ducks. Lets take 10 as example,
0.30 * 10 = 3 male
0.70*10 = 7 female
The answer should be 3/7

I think it has wording issue.
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Re: 40 percent of the ducks included in a certain side effects study were  [#permalink]

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New post 25 Feb 2018, 07:11
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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: 40 percent of the ducks included in a certain side effects study were &nbs [#permalink] 25 Feb 2018, 07:11
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