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

It is currently 14 Dec 2018, 04:57

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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar

If toaster X costs 10 percent more than toaster Y costs, which of the

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51214
If toaster X costs 10 percent more than toaster Y costs, which of the  [#permalink]

Show Tags

New post 09 Oct 2015, 01:23
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

71% (00:58) correct 29% (01:13) wrong based on 121 sessions

HideShow timer Statistics

If toaster X costs 10 percent more than toaster Y costs, which of the following COULD be true?

I. Toaster Y costs $10 less than toaster X costs
II. Toaster X costs $20 more than toaster Y costs
III. Toaster Y costs 10 percent less than toaster X costs

(A) I only
(B) I and II only
(C) I and III only
(D) II and III only
(E) I, II and III

Source: GMATPrepNow.

Kudos for a correct solution.

_________________

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

Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2124
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
Re: If toaster X costs 10 percent more than toaster Y costs, which of the  [#permalink]

Show Tags

New post 09 Oct 2015, 01:43
1. In case p=100 , Toaster X = 110
Toaster Y = 100

1 could be true .

2. In case p=200 ,
Toaster X = 220
Toaster Y = 200

2 could be true .

3. Never true .
Toaster Y will be (1/11)x100 percent lesser i.e 9.09 percent

Answer B.
_________________

When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful

Manager
Manager
avatar
Status: tough ... ? Naaahhh !!!!
Joined: 07 Sep 2015
Posts: 63
Location: India
Concentration: Marketing, Strategy
WE: Marketing (Computer Hardware)
GMAT ToolKit User
Re: If toaster X costs 10 percent more than toaster Y costs, which of the  [#permalink]

Show Tags

New post 09 Oct 2015, 01:52
x=y+10%y,

So 1 and 2 satisfies the condition and 3 does not.

So the answer is 'B'
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51214
Re: If toaster X costs 10 percent more than toaster Y costs, which of the  [#permalink]

Show Tags

New post 11 Oct 2015, 07:46
Bunuel wrote:
If toaster X costs 10 percent more than toaster Y costs, which of the following COULD be true?

I. Toaster Y costs $10 less than toaster X costs
II. Toaster X costs $20 more than toaster Y costs
III. Toaster Y costs 10 percent less than toaster X costs

(A) I only
(B) I and II only
(C) I and III only
(D) II and III only
(E) I, II and III

Source: GMATPrepNow.

Kudos for a correct solution.


GMAT Prep Now OFFICIAL SOLUTION:

Let’s check each statement.

Statement I: toaster Y costs $10 less than toaster X costs.If toaster Y cost $100, then toaster X would cost $110, in which case statement I would be true.
Statement II: toaster X costs $20 more than toaster Y costs.If toaster Y cost $200, then toaster X would cost $220, in which case statement II would be true.
Statement III: toaster Y costs 10 percent less than toaster X costs.This statement can never be true (we’ll see why shortly).

So, the correct answer is B.

If you thought the answer was E, then you probably have a common misconception that goes something like this: If A is k percent greater than B, then B must be k percent less than A. This, however, is not true. In fact, if we were to create a rule, it would go something like this:

If A is k percent greater than B, then B is NOT k percent less than A.

So, for example, if toaster X costs 10 percent more than toaster Y costs, then toaster Y does NOT cost 10 percent less than toaster X costs.

To demonstrate this, let’s plug in some nice prices for the two toasters. We already recognized that, if toaster Y cost $100, then toaster X would cost $110. Here, we can see that toaster X costs 10% more than toaster Y, but toaster Y does not cost 10 percent less than toaster X.

The price difference is $10, and since 10/110 ≈ 9.09%, we can see that toaster Y actually costs about 9.09% less than toaster X.

Now, I’m not going to provide a global proof of the above statement (in blue); I’ll leave that to you. Rather, let’s examine a few examples that illustrate the main central concept here.

Example A: Lisa is 4 feet tall, and Bart is 5 feet tall

The height difference is 1 foot. So, Bart is 25% taller than Lisa (since 1/4 = 25%), but Lisa is NOT 25% shorter than Bart. Lisa is 20% shorter than Bart (since 1/5 = 20%)

Example B: Car X costs $20,000, and car Y costs $40,000

The price difference is $20,000. So, car Y costs 100% more than car X (since 20,000/20,000 = 100%), but car X does NOT cost 100% less than car Y. Car X costs 50% less than car Y (since 20,000/40,000 = 50%).

So, when dealing with percents, be sure to remember the following:

If A is k percent greater than B, then B is NOT k percent less than 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

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9159
Premium Member
Re: If toaster X costs 10 percent more than toaster Y costs, which of the  [#permalink]

Show Tags

New post 06 Oct 2018, 09:49
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: If toaster X costs 10 percent more than toaster Y costs, which of the &nbs [#permalink] 06 Oct 2018, 09:49
Display posts from previous: Sort by

If toaster X costs 10 percent more than toaster Y costs, which of the

  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®.