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During a one-year study, biologists observed the number of fi

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During a one-year study, biologists observed the number of fi [#permalink] New post 30 Jan 2016, 09:06
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92% (00:51) correct 7% (02:57) wrong based on 13 sessions
During a one-year study, biologists observed the number of fish in a certain pond as well as the percent of the fish that were catfish. At the beginning of the year, there were 300 fish in the pond, of which 15 percent were catfish; and at the end of the year, there were 400 fish in the pond, of which 10 percent were catfish. From the beginning of the year to the end of the year, the number of catfish in the pond

 A decreased by more than 5%
 B decreased by 5%
 C did not change
 D increased by 5%
 E increased by more than 5%


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Question: 13
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Difficulty: medium
[Reveal] Spoiler: OA

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Re: During a one-year study, biologists observed the number of fi [#permalink] New post 30 Jan 2016, 09:08
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Solution

\(300*0.15=45\)

\(400*0.1=40\)

% decrease is actually 5

\(\frac{5}{45}=11%\)

The answer is \(A\)
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Re: During a one-year study, biologists observed the number of fi [#permalink] New post 26 Nov 2018, 18:45
i got the same results up until 5 over 45. Can you please explain that and why the answer is not "decreased by 5%"?
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Re: During a one-year study, biologists observed the number of fi [#permalink] New post 26 Nov 2018, 23:49
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early during the year catfish were 15% of 300 which is 45
while later during that year it was 10% of 400 which is 40
Hence the decrease is 5 and as a % it will be 5/45*100 = 11.11% from the start of the year.
Re: During a one-year study, biologists observed the number of fi   [#permalink] 26 Nov 2018, 23:49
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During a one-year study, biologists observed the number of fi

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