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By what percent did the number of vehicles stolen decrease f

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By what percent did the number of vehicles stolen decrease f [#permalink] New post 22 May 2017, 01:02
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By what percent did the number of vehicles stolen decrease from 1997 to 1998?

A) 7.4%

B) 8.0%

C) 8.4%

D) 12.0%

E) 19.4%
[Reveal] Spoiler: OA

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Re: By what percent did the number of vehicles stolen decrease f [#permalink] New post 26 Sep 2017, 08:25
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Assuming that in the base year 1994 cars stolen were 100, the number of stolen cars in 1997 and 1998 are respectively 88 and 80.6. Then, the percent decrease is computed as
(80.6-88)/88*100 = -8.4%. Answer C
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Re: By what percent did the number of vehicles stolen decrease f [#permalink] New post 01 Jul 2018, 09:52
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IlCreatore wrote:
Assuming that in the base year 1994 cars stolen were 100, the number of stolen cars in 1997 and 1998 are respectively 88 and 80.6. Then, the percent decrease is computed as
(80.6-88)/88*100 = -8.4%. Answer C


Why we did not say, 19.4-12=7.4% ?
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Re: By what percent did the number of vehicles stolen decrease f [#permalink] New post 01 Jul 2018, 10:51
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I totally agree. The answer provided by ilcreatore was made having in mind the official solution provided by the author.

However, for me the answer C is elaborated in such way to make the question difficult.

Here we do have a simple % change. The universal rule for %change says that you make the following fraction

Starting value - the decreasing value / starting value = 7.4 %

Tha answer should be A.

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Re: By what percent did the number of vehicles stolen decrease f [#permalink] New post 30 Nov 2018, 17:07
I don't get it, Carcass.

Quote:
Here we do have a simple % change. The universal rule for %change says that you make the following fraction

Starting value - the decreasing value / starting value


IlCreatore did exactly that and got result C, not A.
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Re: By what percent did the number of vehicles stolen decrease f [#permalink] New post 30 Nov 2018, 18:40
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Sorry, I made a dull mistake.

In the year before the stolen car was 12% of a certain number X. 12% less is 88

For the other year is 19.4%. So the decrease is 80.6.

\(\frac{88-80.6}{88}=0.084 *100 = 8.4\)

Which is C

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Re: By what percent did the number of vehicles stolen decrease f [#permalink] New post 09 Dec 2018, 10:37
I think the information missing in this problem is that it does not state the label/unit on the y axis.
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