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In the year 2001, a company's sales increased by x percent from the ye

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In the year 2001, a company's sales increased by x percent from the ye  [#permalink]

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New post 31 Jul 2019, 02:06
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Question Stats:

76% (02:24) correct 24% (03:29) wrong based on 29 sessions

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In the year 2001, a company's sales increased by x percent from the year 2000. In 2002, sales decreases x percent from the year 2001. If the sales in 2002 is 9 percent less than that in 2000, what is x?

A. 20
B. 30
C. 40
D. 50
E. 60
Spoiler: OA

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Re: In the year 2001, a company's sales increased by x percent from the ye  [#permalink]

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New post 31 Jul 2019, 02:34
Bunuel wrote:
In the year 2001, a company's sales increased by x percent from the year 2000. In 2002, sales decreases x percent from the year 2001. If the sales in 2002 is 9 percent less than that in 2000, what is x?

A. 20
B. 30
C. 40
D. 50
E. 60


Given: In the year 2001, a company's sales increased by x percent from the year 2000. In 2002, sales decreases x percent from the year 2001. If the sales in 2002 is 9 percent less than that in 2000,

Asked: what is x?

If sales in 2000 = 1
Sales in 2002 = (1+x)(1-x) = 1+x-x-x^2 = 1-x^2
x^2 = .09
x=.3 = 30%

IMO B
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Re: In the year 2001, a company's sales increased by x percent from the ye  [#permalink]

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New post 31 Jul 2019, 02:47
Let’s say that
—sales in 2000 is 100$;
—(increased by x percent) sales in 2001 is (100+x);
—(decreased by x percent) sales in 2002 is (100+x)—(100+x)*(x/100)=(100+x)*(1–x/100)=(100^2-x^2)/100

It says that sales in 2002 is 9 percent less than that in 2000
—> 100–9=91

(100^2–x^2)/100=91
x^2=100^2–91*100=900
x=30

The answer choice is B

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Re: In the year 2001, a company's sales increased by x percent from the ye  [#permalink]

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New post 31 Jul 2019, 08:27
Bunuel wrote:
In the year 2001, a company's sales increased by x percent from the year 2000. In 2002, sales decreases x percent from the year 2001. If the sales in 2002 is 9 percent less than that in 2000, what is x?

A. 20
B. 30
C. 40
D. 50
E. 60


Lets say Sale was 100 in the year 2000 so the resultant sale in 2002 was 91.
Now try to fill the gap with options.
100 -> 120 -> (.8*120) doesn't result in 91
100 -> 130 -> (.7*130) results in 91.
IMO B.
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Re: In the year 2001, a company's sales increased by x percent from the ye  [#permalink]

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New post 05 Aug 2019, 17:22
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Bunuel wrote:
In the year 2001, a company's sales increased by x percent from the year 2000. In 2002, sales decreases x percent from the year 2001. If the sales in 2002 is 9 percent less than that in 2000, what is x?

A. 20
B. 30
C. 40
D. 50
E. 60



Let’s let n = the sales in the year 2000. We can create the equation:

0.91n = n * (100 + x)/100 * (100 - x)/100

0.91 = (10,000 - x^2)/10,000

9100 =10,000 - x^2

x^2= 900

x = 30

Answer: B
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Re: In the year 2001, a company's sales increased by x percent from the ye   [#permalink] 05 Aug 2019, 17:22
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