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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] New post 21 Jul 2010, 16:59
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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 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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Re: Percent and Ratio problem from QR 2nd edition PS 155 [#permalink] New post 21 Jul 2010, 17:36
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jpr200012 wrote:
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 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


Let the revenue from cars in 1996 be c and revenue from trucks in 1996 be t.

Total revenue in 1997 would be 0.89c+1.07t.
Also as total revenue in 1997 were up 1 percent from 1996, then total revenue in 1997 would be 1.01(c+t).

Equate above two: 0.89c+1.07t=1.01(c+t) --> \frac{c}{t}=\frac{1}{2}.

Answer: A.
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Re: Percent and Ratio problem from QR 2nd edition PS 155 [#permalink] New post 22 Jul 2010, 00:26
A.. I have probably solved this question 3-4 times by now.. Remember the answer.. 1:2
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Re: Percent and Ratio problem from QR 2nd edition PS 155 [#permalink] New post 17 Aug 2010, 08:30
Well, I cannot say its exactly a short method, but looking at the options one can surmise the ans.
Take 100 as base figure. Now try the options.
You can say that "The drop produced by less revenue by Car sales" MUST BE Surpassed by" The gain from Truck Sales". to achieve the Net Gain Effect.
i.e the proportion of Truck Revenue has to be greater than Car Revenue.

By this you can directly eliminate C,D and E. Now for remaining options,
Say we start from B. Then 4:5 will mean :
Rev 400 for cars and Rev 500 for Trucks
Calculate 11% @ 400 and 7% @500. We just have to ensure that
7% @ Trucks MUST BE > 11% @ Cars. Right !!! :)
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A certain company that sells only cars and trucks reported [#permalink] New post 30 Nov 2012, 16:49
You could also look at this problem and realize that car sales have a smaller impact on total revenues than truck sales so the ratio has to be smaller than 1. A is the only answer choice that satisfies this relationship.
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A certain company that sells only cars and trucks reported.. [#permalink] New post 06 Jan 2013, 09:08
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 in1996?
[*]1:2
[*]4:5
[*]1:1
[*]3:2
[*]5:3
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Re: A certain company that sells only cars and trucks reported.. [#permalink] New post 06 Jan 2013, 11:21
Drik wrote:
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 in1996?
[*]1:2
[*]4:5
[*]1:1
[*]3:2
[*]5:3


Its 1/2
Consider the revenue from cars in 1996 x, which reduced to 0.89x in 1997.

Consider the revenue from trucks in 1996 y, which rose to 1.07y in 1997.

Another piece of information that is given is that the total revenue which was (x+y) in 1996, rose to 1.01(x+y) in 1997.
We are required to find x/y.

So using these information, we get 0.89x +1.07y=1.01x +1.01y.
On solving we get x/y as 1/2.
+1A
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Re: A certain company that sells only cars and trucks reported.. [#permalink] New post 07 Jan 2013, 03:00
Drik wrote:
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 in1996?
[*]1:2
[*]4:5
[*]1:1
[*]3:2
[*]5:3


Merging similar topics. Please refer to the solutions above.

Also, please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to the rules #1 and 7. Thank you.
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DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


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Re: A certain company that sells only cars and trucks reported..   [#permalink] 07 Jan 2013, 03:00
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