The price of an automobile decreased m percent between 2010

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The price of an automobile decreased m percent between 2010 [#permalink]

14 Dec 2012, 09:19

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Question Stats:

76% (02:30) correct

23% (02:30) wrong

based on 1 sessions

The price of an automobile decreased m percent between 2010 and 2011 and then increased n percent between 2011 and 2012. Was the price of the automobile lower in 2010 than in 2012?

(1) m < n
(2) mn < 100n – 100m

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Re: The price of an automobile decreased m percent between 2010 [#permalink]

14 Dec 2012, 09:51

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The price of an automobile decreased m percent between 2010 and 2011 and then increased n percent between 2011 and 2012. Was the price of the automobile lower in 2010 than in 2012?

The price in 2010 - p;
The price in 2011 - p*(1-\frac{m}{100});
The price in 2012 - p*(1-\frac{m}{100})*(1+\frac{n}{100});

Question: is p<p*(1-\frac{m}{100})*(1+\frac{n}{100})? --> is 1<(1-\frac{m}{100})*(1+\frac{n}{100})? --> is 100n-100m>mn?

(1) m < n. Not sufficient.
(2) mn < 100n – 100m. Directly answers the question. Sufficient.

Answer: B.

Identical question from OG to practice: the-annual-rent-collected-by-a-corporation-from-a-certain-89184.html
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Re: The price of an automobile decreased m percent between 2010 [#permalink]

14 Dec 2012, 12:14

1 ) is clearly insufficient

2) MN < 100 N - 100 M

here a faster approach is simply pickying a %. for instance: first we have a decrease so we could have 0.8 % (decrease by 20%) the an increse %, for instance 1.2 % (increase by 20 %).

Always the LHS is not smaller than the RHS

0.96 < 0.4 The answer, even with other numbers will be always NO. So is sufficient

B is the answer
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Re: The price of an automobile decreased m percent between 2010 [#permalink] 14 Dec 2012, 12:14

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The price of an automobile decreased m percent between 2010

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The price of an automobile decreased m percent between 2010

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