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# A certain company that sells only cars and trucks reported

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Senior Manager
Joined: 08 Jun 2004
Posts: 444
Location: Europe
A certain company that sells only cars and trucks reported  [#permalink]

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25 Apr 2006, 12:16
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Question Stats:

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A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?

A. 1 : 2
B. 4 : 5
C. 1 : 1
D. 3 : 2
E. 5 : 3

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Intern
Joined: 08 Nov 2005
Posts: 11
Location: Beijing, China

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25 Apr 2006, 22:47
Trucks must be greater than cars, otherwise result would be a negative.
Only A & B have the ratio of more trucks to cars.

Set 1996 price equal to 100.
Plug A in and get 89+214/3 = 101
This is equal to an increase of 1%

Director
Joined: 21 Sep 2003
Posts: 985
Location: USA

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30 Apr 2006, 10:19
1
96:
Car = x
Trucks = y
97:
Car = 0.89x
Trucks = 1.07y

Given
0.89x+1.07y = 1.01(x+y)
=> y = 2x or x:y = 1:2
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Senior Manager
Joined: 08 Jun 2004
Posts: 444
Location: Europe

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01 May 2006, 01:31
OA is 'A'
VP
Joined: 29 Apr 2003
Posts: 1337

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01 May 2006, 01:40
Ans A..

Explained above!

essentially we get

89x + 107y = 101x + 101y

Thus, x/y = 1/2
Senior Manager
Joined: 08 Jun 2004
Posts: 444
Location: Europe

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01 May 2006, 01:46
sm176811 wrote:
Ans A..

Explained above!

essentially we get

89x + 107y = 101x + 101y

Thus, x/y = 1/2

I used the same approach as Giddi did.
At first glance the questions seems very difficult and unclear but then you see that it's very, very simple.
VP
Joined: 29 Apr 2003
Posts: 1337

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01 May 2006, 01:47
Yeah some of these word problems actually throw you off!! I get very pschyed and spend a lot of time rereading wastefully!

I guess the key to to take a step back and understand first and then attempt to solve!
Intern
Joined: 19 Apr 2006
Posts: 26

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01 May 2006, 03:41
I used a slightly different approach, I took the ratios and multiplied directly with the % change

so as in a 1:2 total sales are 3

in 1997 total sales have to be up 1% meaning thus 3.03

if I know reduce 1 by 11% and increase 2 by 7% it has to be 3.03 otherwise the ration is wrong

so 0.89 (=1*0.89) + 2.14 (=2*1.07) = 3.03
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 4553
Location: Singapore

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02 May 2006, 01:30
car sales in 1996 = x
car sales in 1997 = 0.89x

truck sales in 1996 = y
truck sales in 1997 = 1.07y

total revenues in 1997 = 0.89x + 1.07y = 1.01 (x+y)
total revenus in 1996 = x + y

0.89x + 1.07y = 1.01x + 1.01y
0.06y = 0.12x
y = 2x

Ratio = car sales in 1996/truck sales in 1996 = x/y = x/2x = 1/2
Manager
Joined: 27 Mar 2006
Posts: 123

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02 May 2006, 06:03
I got A :wink:

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Posts: 11438
Re: A certain company that sells only cars and trucks reported  [#permalink]

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21 Aug 2018, 16:13
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Re: A certain company that sells only cars and trucks reported   [#permalink] 21 Aug 2018, 16:13
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