GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 15 Nov 2018, 17:21

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Free GMAT Strategy Webinar

     November 17, 2018

     November 17, 2018

     07:00 AM PST

     09:00 AM PST

    Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
  • GMATbuster's Weekly GMAT Quant Quiz # 9

     November 17, 2018

     November 17, 2018

     09:00 AM PST

     11:00 AM PST

    Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

A certain company that sells only cars and trucks reported

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
Joined: 30 May 2010
Posts: 179
A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 21 Jul 2010, 15:59
2
26
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

73% (02:39) correct 27% (02:47) wrong based on 622 sessions

HideShow timer Statistics

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
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50613
Re: Percent and Ratio problem from QR 2nd edition PS 155  [#permalink]

Show Tags

New post 21 Jul 2010, 16:36
6
8
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.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

General Discussion
Manager
Manager
avatar
Joined: 20 Jul 2010
Posts: 128
Re: Percent and Ratio problem from QR 2nd edition PS 155  [#permalink]

Show Tags

New post 21 Jul 2010, 23:26
A.. I have probably solved this question 3-4 times by now.. Remember the answer.. 1:2
_________________

Gotta hit the 700 score this time... 3rd time lucky !
Give me some kudos... Like you, even I need them badly ;)

Manager
Manager
User avatar
Joined: 28 Feb 2010
Posts: 123
WE 1: 3 (Mining Operations)
Re: Percent and Ratio problem from QR 2nd edition PS 155  [#permalink]

Show Tags

New post 17 Aug 2010, 07:30
2
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 !!! :)
_________________

Regards,
Invincible...:)
"The way to succeed is to double your error rate."
"Most people who succeed in the face of seemingly impossible conditions are people who simply don't know how to quit."

Intern
Intern
avatar
Joined: 15 Aug 2012
Posts: 12
Location: United States
Concentration: Finance, Economics
Schools: HBS '15 (D)
GMAT 1: 720 Q49 V40
GPA: 3.4
WE: Account Management (Mutual Funds and Brokerage)
A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 30 Nov 2012, 15:49
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.
VP
VP
User avatar
Status: Been a long time guys...
Joined: 03 Feb 2011
Posts: 1159
Location: United States (NY)
Concentration: Finance, Marketing
GPA: 3.75
GMAT ToolKit User Premium Member
Re: A certain company that sells only cars and trucks reported..  [#permalink]

Show Tags

New post 06 Jan 2013, 10:21
1
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
_________________

Prepositional Phrases Clarified|Elimination of BEING| Absolute Phrases Clarified
Rules For Posting
www.Univ-Scholarships.com

Manager
Manager
User avatar
Joined: 20 Dec 2013
Posts: 123
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 02 Jan 2014, 22:22
1
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 us say that the revenues from selling cars was $ 100x and from trucks was $100y in 1996, total revenue: 100x + 100y

Revenue in 1997:
cars: $ 89x trucks: $ 107y total revenue: 89x + 107y = 101x + 101y

Solving the above total revenue equation we get: 12x = 6y i.e. x/y = 1/2

Answer is A.
_________________

76000 Subscribers, 7 million minutes of learning delivered and 5.6 million video views

Perfect Scores
http://perfectscores.org
http://www.youtube.com/perfectscores

Senior Manager
Senior Manager
avatar
Joined: 15 Aug 2013
Posts: 251
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 25 May 2014, 16:55
Copied pasted this from the closed thread:

Quote:
Karishma's Post:
Cars denoted by 1 and trucks by 2

w1/w2 = (A2 - Aavg)/(Aavg - A1)
Revenue of cars/Revenue of trucks = (Revenue change of trucks - Avg)/(Avg - Revenue change of cars)
Revenue of cars/Revenue of trucks = (7 - 1)/(1 - (-11))
Notice the highlighted part above. Revenue of trucks changes by +7% and that of cars by -11%.



Can someone explain this to me please? Why is A2 and A1 switched in this equation?

A2-A.avg/ A.avg - A1. What am i missing here?

Thanks!

P.S: I read the "quarter wit" and it makes a lot more sense. Although, how do we tell what are the weights (w1/w2) vs. the actual quantity(avg?)
Retired Moderator
avatar
Joined: 29 Oct 2013
Posts: 265
Concentration: Finance
GPA: 3.7
WE: Corporate Finance (Retail Banking)
GMAT ToolKit User
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 08 Aug 2014, 06:50
1
2
Straight forward weighted average approach
Car Total Truck
-11------ 1------ 7
-----12------6----
So Car/ Truck = 6/12 = 1:2
Ans: A
_________________

Please contact me for super inexpensive quality private tutoring

My journey V46 and 750 -> http://gmatclub.com/forum/my-journey-to-46-on-verbal-750overall-171722.html#p1367876

Intern
Intern
avatar
B
Joined: 09 Oct 2016
Posts: 34
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 08 Apr 2017, 01:14
1
This problem can be solved in less than one minutes by drawing a graph.
Attachments

File comment: This problem can be solved in less than one minute by drawing a graph.
Revenue.JPG
Revenue.JPG [ 115.44 KiB | Viewed 3282 times ]

Mannheim Thread Master
User avatar
S
Status: It's now or never
Joined: 10 Feb 2017
Posts: 194
Location: India
GMAT 1: 650 Q40 V39
GPA: 3
WE: Consulting (Consulting)
GMAT ToolKit User
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 07 Aug 2017, 02:24
Hi Zulu, Took me a while to figure it out the relation ship with the equations 12C=6T, can you please simplyfy this for the readers benefit.

I understood the rest of the part.
_________________

2017-2018 MBA Deadlines

Threadmaster for B-school Discussions
Class of 2019: Mannheim Business School
Class 0f 2020: HHL Leipzig

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4170
Location: United States (CA)
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 10 Aug 2017, 09:37
1
1
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


We can let the revenue from car sales in 1996 = c and the revenue from truck sales in 1996 = t.

Since revenue from car sales in 1997 was down 11 percent from 1996, revenue from truck sales in 1997 was up 7 percent from 1996, and total revenue from car and trucks sales in 1997 was up 1 percent from 1996, we can create the following equation:

0.89c + 1.07t = 1.01(c + t)

89c + 107t = 101(c + t)

89c + 107t = 101c + 101t

6t = 12c

t = 2c

1/2 = c/t

Thus, the ratio of revenue of car sales to truck sales in 1996 is 1 : 2.

Answer: A
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Intern
Intern
avatar
B
Joined: 21 Jan 2017
Posts: 6
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 18 Nov 2017, 15:57
Is it wrong to approach the question as -11(cars) + 7(trucks) = 1(cars + trucks) --> this led me to Trucks = 2 cars... therefore cars/trucks must be 1/2. I am a bit shaky on this type of problem, so I want to confirm if my basis is correct, or if I just got lucky.

Thank you!
Manager
Manager
User avatar
S
Joined: 11 Sep 2013
Posts: 157
Concentration: Finance, Finance
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 07 Dec 2017, 17:11
2
Here is an easy solution
Attachments

Capture.PNG
Capture.PNG [ 2.78 KiB | Viewed 2068 times ]

VP
VP
User avatar
P
Joined: 09 Mar 2016
Posts: 1069
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 30 Mar 2018, 12:57
Bunuel wrote:
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.



anybody somedy :)

(c-11) + (t+7) = 1

why isnt my equation correct ? :)
VP
VP
User avatar
P
Joined: 09 Mar 2016
Posts: 1069
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 30 Mar 2018, 13:19
ScottTargetTestPrep wrote:
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


We can let the revenue from car sales in 1996 = c and the revenue from truck sales in 1996 = t.

Since revenue from car sales in 1997 was down 11 percent from 1996, revenue from truck sales in 1997 was up 7 percent from 1996, and total revenue from car and trucks sales in 1997 was up 1 percent from 1996, we can create the following equation:

0.89c + 1.07t = 1.01(c + t)

89c + 107t = 101(c + t)

89c + 107t = 101c + 101t

6t = 12c

t = 2c

1/2 = c/t

Thus, the ratio of revenue of car sales to truck sales in 1996 is 1 : 2.

Answer: A



hello friends, :)

i dont get if \(\frac{c}{t}\) and \(6t = 12c\) than it should be \(\frac{12}{6}\) and not 6/12

can someone explain please ? :-)
SVP
SVP
User avatar
D
Joined: 26 Mar 2013
Posts: 1879
Reviews Badge CAT Tests
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 30 Mar 2018, 13:59
1
dave13 wrote:

hello friends, :)

i dont get if \(\frac{c}{t}\) and \(6t = 12c\) than it should be \(\frac{12}{6}\) and not 6/12

can someone explain please ? :-)



Hi

Happy to help :-)

Let's take it step by step

\(6t = 12c\)........divide by t

\(6 = 12c/t\).......divide both side by 12

\(6/12 = c/t\)

I hope you get now
Intern
Intern
avatar
B
Joined: 09 Oct 2016
Posts: 34
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 30 Mar 2018, 14:49
1
dave13 wrote:
ScottTargetTestPrep wrote:
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


We can let the revenue from car sales in 1996 = c and the revenue from truck sales in 1996 = t.

Since revenue from car sales in 1997 was down 11 percent from 1996, revenue from truck sales in 1997 was up 7 percent from 1996, and total revenue from car and trucks sales in 1997 was up 1 percent from 1996, we can create the following equation:

0.89c + 1.07t = 1.01(c + t)

89c + 107t = 101(c + t)

89c + 107t = 101c + 101t

6t = 12c

t = 2c

1/2 = c/t

Thus, the ratio of revenue of car sales to truck sales in 1996 is 1 : 2.

Answer: A



hello friends, :)

i dont get if \(\frac{c}{t}\) and \(6t = 12c\) than it should be \(\frac{12}{6}\) and not 6/12

can someone explain please ? :-)


Hello,
Ratio problems can be solved in a more efficient way that will take you no more than minute to get to the right ans. See youtube video by gmatninja, he explained this method. start from minure 42:00.
https://www.youtube.com/watch?v=1R8EQ6IHX9I
Good luck with your preparation
Intern
Intern
avatar
B
Joined: 20 May 2018
Posts: 2
CAT Tests
Re: A certain company that sells only cars and trucks reported  [#permalink]

Show Tags

New post 26 Aug 2018, 11:45
Hi guys I have a question. Please kindly help.
I use the seesaw method and got ratio of C to T in 1997 as 1/2. However I am under impression that 1/2 is 1997's ratio.
So next step, I plug number 300 as 1997 total sales. Hence C 1997 sales is 100; T 1997 sales is 200. Then, using the %change from 1996 to 1997, I deduce 1996 C sales as (100/0.89) and 1996 T sales as (200/1.07). My understanding is that all the sales figure should correlate to one another using the % change of sales. ie. 1996 C sales of (100/0.89) decreases by 11% should get 100 in 1997 sales; 1996 T sales of (200/1.07) increases by 1% should get 200 in 1997. But it doesnt add up because the (100/0.89) + (200/1.07) doesnt get total sales of (300/1.01).
Is my understanding not correct?
Thank you
GMAT Club Bot
Re: A certain company that sells only cars and trucks reported &nbs [#permalink] 26 Aug 2018, 11:45
Display posts from previous: Sort by

A certain company that sells only cars and trucks reported

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.