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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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A certain company that sells only cars and trucks reported that in 2004, revenues from car sales were 20 % more than the revenues from truck sales. In 2005, if the revenues tram truck sales kept unchanged, were the revenues form car sales still greater than the revenue from truck sales?

(1) In 2005, the revenues from car sales were down less than 20 % from 2004.
(2) In 2005, the revenues from car sales were down more than 18 % from 2004.
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Re: A certain company that sells only cars and trucks reported [#permalink]

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A certain company that sells only cars and trucks reported that in 2004, revenues from car sales were 20 % more than the revenues from truck sales. In 2005, if the revenues tram truck sales kept unchanged, were the revenues form car sales still greater than the revenue from truck sales?

In 2004:
{revenues from truck sales} = x.
{revenues from car sales} = 1.2x

In 2005:
{revenues from truck sales} = x.
{revenues from car sales} = ?.

(1) In 2005, the revenues from car sales were down less than 20% from 2004. If the revenue from car sales were down by 0%, then the answer would be YES but if the revenue from car sales were down by 19%, then the answer would be NO (1.2x*0.81<x). Not sufficient.

(2) In 2005, the revenues from car sales were down more than 18% from 2004. Even if the revenue from car sales were down by only 18%, the revenue from car sales still would be less than x --> 1.2x*0.82<x. Sufficient.

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

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New post 17 Jun 2016, 11:53
ICsharp wrote:
A certain company that sells only cars and trucks reported that in 2004, revenues from car sales were 20 % more than the revenues from truck sales. In 2005, if the revenues tram truck sales kept unchanged, were the revenues form car sales still greater than the revenue from truck sales?

(1) In 2005, the revenues from car sales were down less than 20 % from 2004.
(2) In 2005, the revenues from car sales were down more than 18 % from 2004.

take easy values for consideration
Let revenues from truck sales in 2004 =Rs 100
revenues from car sales=Rs 120 .
revenues from truck sales in 2005=Rs 100
revenues from car sales in 2005=?(<or> Rs100)
Statement(1) the revenues from car sales were down less than 20 % from 2004
say it was down 19%...19%less of 120=Rs 97.2 (97.2<100)...NO
or it was down 1%...1%less of 120=Rs 118.8 (118.8>100)...YES.
Not sufff....
(2) the revenues from car sales were down more than 18 % from 2004
even if you take a value 18.1% decreased it will be >Rs 100
120(1-18.1/100)=98.....it will always<100(truck sales revenue)
suff...
Ans B
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Re: A certain company that sells only cars and trucks reported [#permalink]

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New post 17 Jun 2016, 15:13
ICsharp wrote:
A certain company that sells only cars and trucks reported that in 2004, revenues from car sales were 20 % more than the revenues from truck sales. In 2005, if the revenues tram truck sales kept unchanged, were the revenues form car sales still greater than the revenue from truck sales?

(1) In 2005, the revenues from car sales were down less than 20 % from 2004.
(2) In 2005, the revenues from car sales were down more than 18 % from 2004.


Let's say revenue from truck sales in 2004= 100
Revenue from car sales in 2004 = 120

(1) In 2005, the revenues from car sales were down less than 20 % from 2004.

If the revenues were 20% less. Then, the actual revenue would have been 120 - 120*20/100= 120-24

But since the revenues are down less then 20%, revenues can be 19% (<revenues by trucks) or 10% (>revenues by trucks)

Not sufficient.

(2) In 2005, the revenues from car sales were down more than 18 % from 2004.
if it were 18%, then the revenues would have been 120- 120*18/100= 120- 22 (approximately)

But since revenues were down more than 18 %; revenues were always less than 100, and less than revenues from trucks. Sufficient.

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

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New post 29 Jun 2016, 13:24
ICsharp wrote:
A certain company that sells only cars and trucks reported that in 2004, revenues from car sales were 20 % more than the revenues from truck sales. In 2005, if the revenues tram truck sales kept unchanged, were the revenues form car sales still greater than the revenue from truck sales?

(1) In 2005, the revenues from car sales were down less than 20 % from 2004.
(2) In 2005, the revenues from car sales were down more than 18 % from 2004.
.

SOLUTION:

let t be the revenues from Trucks sales , and let c be the revenues from Cars sales .

In 2004, \(c=0.2*t--->t=0.83*c\).

In 2005, t is same as in 2004.

Statement 1). In 2005, the revenues from car sales were down less than 20 % from 2004.

In 2005, new revenues from car sales= \(c-(<0.2*c)\) = \(>0.8*c\).
so it may or may not be less than \(0.83*c.\)

Hence Insufficient.


Statement 2) In 2005, the revenues from car sales were down more than 18 % from 2004.

In 2005 , new revenues from care sales=\(c-(>0.18*c) = <0.82*c.\)

it is always less than \(0.83*c\).

Hence Sufficient.

Ans B
Re: A certain company that sells only cars and trucks reported   [#permalink] 29 Jun 2016, 13:24
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