Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 Oct 2014, 04:13

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Whenever Sally takes a cab and the fare is between $15 and $

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
3 KUDOS received
Manager
Manager
User avatar
Joined: 19 Sep 2010
Posts: 56
Location: Pune, India
Followers: 11

Kudos [?]: 17 [3] , given: 9

Whenever Sally takes a cab and the fare is between $15 and $ [#permalink] New post 27 Jan 2011, 08:30
3
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

62% (02:40) correct 38% (01:33) wrong based on 152 sessions
Whenever Sally takes a cab and the fare is between $15 and $65, she calculates the dollar amount of the tip as 3 times the tens digit of the fare. If Sally's most recent fare was between $15 and $65, was the tip Sally calculated on this bill greater than 25 percent of the amount of the bill?

(1) The amount of the fare was between $17 and $40.
(2) Sally calculated a tip of $3.
[Reveal] Spoiler: OA

Attachments

Q2.JPG
Q2.JPG [ 23.69 KiB | Viewed 2529 times ]

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23408
Followers: 3611

Kudos [?]: 28882 [1] , given: 2859

Re: Sally's bill greater than 25% of the amount? [#permalink] New post 27 Jan 2011, 09:15
1
This post received
KUDOS
Expert's post
Whenever Sally takes a cab and the fare is between $15 and $65, she calculates the dollar amount of the tip as 3 times the tens digit of the fare. If Sally's most recent fare was between $15 and $65, was the tip Sally calculated on this bill greater than 25 percent of the amount of the bill?

You can solve this question with algebra but I think simple analysis would be better.

(1) The amount of the fare was between $17 and $40 --> 17<fare<40. Now if the fair was 20$ then the tip would be 3*2=$6 (3 times tens digit) so more than 0.25*20=$5 (25% of the fare) but if the fare was 28$ then the tip would still be 3*2=$6 but in this case less than 0.25*28=$7. Not sufficient.

(2) Sally calculated a tip of $3 --> tip=$3 means that: 15<fare<20 (so that the tens digit of the fare to be 1). Now, even if the fare was exactly $15 (lowest limit), 25% of it would be 0.25*15=$3.75 and it's still greater than $3. So the answer to the question is NO: the tip (3$) was not greater than 25% of the fare. Sufficient.

Answer: B.

For percents check: math-number-theory-percents-91708.html or math-number-theory-88376.html
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

1 KUDOS received
Manager
Manager
avatar
Joined: 30 Aug 2010
Posts: 92
Location: Bangalore, India
Followers: 3

Kudos [?]: 103 [1] , given: 27

Re: Sally's bill greater than 25% of the amount? [#permalink] New post 27 Jan 2011, 23:43
1
This post received
KUDOS
SoniaSaini wrote:
Please Help me.Can I get some basic information about %? I'm not getting this % concepts? :(


Hi,

Percent, as the name suggests, is PER CENT ==> /100

e.g 10 percent of 30 ==> (10/100)*30 = 3
hence you can always rplace PERCENT word with /100.

Letz try this.

20 percent of the price of a computer is $6000. What is the actual price of the computer

(20/100) * (the actual price) = 6000

==> The actual price = 6000*100 / 20 = 30000

Now, as you can infer from above, x % of 100 is always x

now, it is very useful to grasp the below stated concepts.

x % of a +ve # that is < 100 is always < x
x % of a +ve # that is > 100 is always > x

10 % of 100 is 10
10 % of 80 is 8 i.e. < 10
10 % of 450 is 45 i.e. > 10

Also remember,

25 percent of x ==> 25/100 of x ==> 1/4 rth of x ==> quarter of x
50 percent of x ==> 50/100 of x ==> 1/2 of x ==> half of x
75 percent of x ==> 75/100 of x ==> 3/4 rth of x ==> 3 quarter of x
100 percent of x ==> 100/100 of x ==> x ==> total x

letz try this.

you have $250 and you get 20 percent intrest on your amount. What is the intrest amount.
letz solve it Using percent meaning:

20% ==> 20 per cent ==> 20 per 100 ==> it means you get $20 for every $100 you have
==> 250 = 100+100+50
==> youget 20+20+10 = 50

formula:
(20/100)*250 = 50

Al the above concepts are very very very basic things in the percent world.

Follow the link, posted by Bunuel, to get more into it.

Remember: THE MORE YOU KNOW ABT PERCENTAGES, THE MORE INTERESTING THEY ARE.

Regards,
Murali.
kudos?
murali.lawson@gmail.com
Manager
Manager
User avatar
Joined: 19 Sep 2010
Posts: 56
Location: Pune, India
Followers: 11

Kudos [?]: 17 [0], given: 9

Re: Sally's bill greater than 25% of the amount? [#permalink] New post 29 Jan 2011, 02:58
muralimba wrote:
SoniaSaini wrote:
Please Help me.Can I get some basic information about %? I'm not getting this % concepts? :(


Hi,

Percent, as the name suggests, is PER CENT ==> /100

e.g 10 percent of 30 ==> (10/100)*30 = 3
hence you can always rplace PERCENT word with /100.

Letz try this.

20 percent of the price of a computer is $6000. What is the actual price of the computer

(20/100) * (the actual price) = 6000

==> The actual price = 6000*100 / 20 = 30000

Now, as you can infer from above, x % of 100 is always x

now, it is very useful to grasp the below stated concepts.

x % of a +ve # that is < 100 is always < x
x % of a +ve # that is > 100 is always > x

10 % of 100 is 10
10 % of 80 is 8 i.e. < 10
10 % of 450 is 45 i.e. > 10

Also remember,

25 percent of x ==> 25/100 of x ==> 1/4 rth of x ==> quarter of x
50 percent of x ==> 50/100 of x ==> 1/2 of x ==> half of x
75 percent of x ==> 75/100 of x ==> 3/4 rth of x ==> 3 quarter of x
100 percent of x ==> 100/100 of x ==> x ==> total x

letz try this.

you have $250 and you get 20 percent intrest on your amount. What is the intrest amount.
letz solve it Using percent meaning:

20% ==> 20 per cent ==> 20 per 100 ==> it means you get $20 for every $100 you have
==> 250 = 100+100+50
==> youget 20+20+10 = 50

formula:
(20/100)*250 = 50

Al the above concepts are very very very basic things in the percent world.

Follow the link, posted by Bunuel, to get more into it.

Remember: THE MORE YOU KNOW ABT PERCENTAGES, THE MORE INTERESTING THEY ARE.

Regards,
Murali.
kudos?
murali.lawson@gmail.com


Bunuel/Murali,

Thanks a lot for your help and time.
You both deserve kudos!!
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23408
Followers: 3611

Kudos [?]: 28882 [0], given: 2859

Re: Whenever Sally takes a cab and the fare is between $15 and $ [#permalink] New post 10 Jun 2013, 02:52
Expert's post
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

Theory on Percent and Interest Problems: math-number-theory-percents-91708.html

All DS Percent and Interest Problems to practice: search.php?search_id=tag&tag_id=33
All PS Percent and Interest Problems to practice: search.php?search_id=tag&tag_id=54

_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

1 KUDOS received
Intern
Intern
avatar
Joined: 09 Apr 2013
Posts: 31
Location: United States
Concentration: Strategy, General Management
GMAT 1: 750 Q50 V41
GRE 1: 317 Q160 V157
GPA: 3.55
Followers: 1

Kudos [?]: 14 [1] , given: 0

Re: Whenever Sally takes a cab and the fare is between $15 and $ [#permalink] New post 10 Jun 2013, 08:19
1
This post received
KUDOS
SoniaSaini wrote:
Whenever Sally takes a cab and the fare is between $15 and $65, she calculates the dollar amount of the tip as 3 times the tens digit of the fare. If Sally's most recent fare was between $15 and $65, was the tip Sally calculated on this bill greater than 25 percent of the amount of the bill?

(1) The amount of the fare was between $17 and $40.
(2) Sally calculated a tip of $3.


Whenever the tens digit of the fare goes up to another number, the tip shoots up to 30% and then gradually moves down to about 15% until the next tens digit jump.

(1) The amount of fare fluctuates from about 15% to 30% throughout this entire range, some easy numbers to try are 6/25 = 24% which is below 25% and 6/20 = 30% which is above 25%. This statement is insufficient.
(2) We know that in order for the tip to be $3 the price of the fare has to be between 15 and 19 inclusive. We can calculate that 3/15 = 20% which is below 25%, and know that every time the price of the fare increases in this range, the percentage of tip and fare goes down. So, the tip for all prices above $15 will be less than 20% of the bill and will not jump above 25% until $20. This statement is sufficient.

Answer is B
Re: Whenever Sally takes a cab and the fare is between $15 and $   [#permalink] 10 Jun 2013, 08:19
    Similar topics Author Replies Last post
Similar
Topics:
9 Experts publish their posts in the topic Whenever martin has a restaurant bill with an amount between GMATD11 7 12 Feb 2011, 12:48
Experts publish their posts in the topic Whenever Martin has a restaurant bill with an amount between divakarbio7 7 05 Apr 2010, 23:25
1 Whenever Martin has a restaurant bill with an amount between vksunder 5 09 Aug 2008, 10:26
Whenever Martin has a restaurant bill with an amount between alimad 6 27 Jun 2008, 19:08
A group of friends have decided to take a roadtrip. Whenever GMATT73 5 01 Oct 2005, 20:39
Display posts from previous: Sort by

Whenever Sally takes a cab and the fare is between $15 and $

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.