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A certain company that sells only cars and trucks reported

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A certain company that sells only cars and trucks reported  [#permalink]

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New post 25 Apr 2006, 12:16
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A
B
C
D
E

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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

Please explaine your answer.

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New post 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%

Answer is A.
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New post 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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New post 01 May 2006, 01:31
OA is 'A' :)
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New post 01 May 2006, 01:40
Ans A..

Explained above!

essentially we get

89x + 107y = 101x + 101y

Thus, x/y = 1/2
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New post 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. :-D
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New post 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!
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New post 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
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New post 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
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New post 02 May 2006, 06:03
I got A :wink:

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

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