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

It is currently 23 Jul 2014, 17:55

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

The average (arithmetic mean) price of the 3 items that Kate

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Expert Post
2 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18707
Followers: 3237

Kudos [?]: 22285 [2] , given: 2611

The average (arithmetic mean) price of the 3 items that Kate [#permalink] New post 11 Sep 2012, 03:48
2
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (low)

Question Stats:

72% (02:08) correct 28% (01:02) wrong based on 216 sessions
The average (arithmetic mean) price of the 3 items that Kate purchased from a clothing store was $50. If there was no sales tax on any item that had a price of less than $80 and 6 percent sales tax on all other items, what was the total sales tax on the 3 items that Kate purchased?

(1) The price of the most expensive item that Kate purchased from the store was $100.
(2) The price of the least expensive item that Kate purchased from the store was $10.

Practice Questions
Question: 37
Page: 278
Difficulty: 600
[Reveal] Spoiler: OA

_________________

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

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18707
Followers: 3237

Kudos [?]: 22285 [1] , given: 2611

Re: The average (arithmetic mean) price of the 3 items that Kate [#permalink] New post 11 Sep 2012, 03:48
1
This post received
KUDOS
Expert's post
SOLUTION

The average (arithmetic mean) price of the 3 items that Kate purchased from a clothing store was $50. If there was no sales tax on any item that had a price of less than $80 and 6 percent sales tax on all other items, what was the total sales tax on the 3 items that Kate purchased?

It's almost always better to express the average in terms of the sum: so we have that the sum of 3 items Kate purchased is 3*50=$150.

(1) The price of the most expensive item that Kate purchased from the store was $100. The sum of the prices of the 2 remaining items is $150-$100=$50. So, each price is less than $80, which means that Kate paid 6% sales tax only on the most expensive item (6% of $100). Sufficient.

(2) The price of the least expensive item that Kate purchased from the store was $10. The sum of the prices of the 2 remaining items is $150-$10=$140. If the 2 remaining prices are $70 and $70, then Kate didn't paid sales tax at all, but if the 2 remaining prices are $100 and $40, then Kate paid sales tax on $100 item. Not sufficient.

Answer: A.
_________________

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: 02 Jun 2011
Posts: 114
Followers: 0

Kudos [?]: 21 [1] , given: 5

Re: The average (arithmetic mean) price of the 3 items that Kate [#permalink] New post 11 Sep 2012, 11:15
1
This post received
KUDOS
Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

The average (arithmetic mean) price of the 3 items that Kate purchased from a clothing store was $50. If there was no sales tax on any item that had a price of less than $80 and 6 percent sales tax on all other items, what was the total sales tax on the 3 items that Kate purchased?

(1) The price of the most expensive item that Kate purchased from the store was $100.
(2) The price of the least expensive item that Kate purchased from the store was $10.

Practice Questions
Question: 37
Page: 278
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!


'A' is the answer.
Avg of 3 items is 50. so total cost of all three items will be 150.
as '1' says most expensive item is 100 rs. so other 2 items price sum have 50 (so neither of the two items will have price value more than 80).
so, the sale tax will be on one item which is costing 100Rs.
'2' it says least expensive item is 10. so other two items can be 80&60, 90&50, 100&40, 110&30.. any. so insufficient.
Intern
Intern
avatar
Joined: 09 Sep 2011
Posts: 2
Location: India
Concentration: Leadership, International Business
GPA: 3.75
Followers: 0

Kudos [?]: 5 [0], given: 0

Re: The average (arithmetic mean) price of the 3 items that Kate [#permalink] New post 12 Sep 2012, 01:43
C is the answer

average of 3 items=50
So 100+10+x/3=50
x=40

Only one item that is more than 80;so Sales tax=.06*100=6
Total Sales Tax=6$
1 KUDOS received
Senior Manager
Senior Manager
avatar
Joined: 15 Jun 2010
Posts: 363
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Followers: 6

Kudos [?]: 134 [1] , given: 50

GMAT Tests User Reviews Badge
Re: The average (arithmetic mean) price of the 3 items that Kate [#permalink] New post 12 Sep 2012, 02:52
1
This post received
KUDOS
Bunuel wrote:

The average (arithmetic mean) price of the 3 items that Kate purchased from a clothing store was $50. If there was no sales tax on any item that had a price of less than $80 and 6 percent sales tax on all other items, what was the total sales tax on the 3 items that Kate purchased?

(1) The price of the most expensive item that Kate purchased from the store was $100.
(2) The price of the least expensive item that Kate purchased from the store was $10.



From stem we know the total value of 3 items = 3 x $50 = $150

St 1: Sufficient: If most expensive item is $100, we have $ 50 remaining for other two items. So definitely other 2 items are less than $80.
So Kate has to pay only 6% sales tax for $100 item.

St 2: Insufficient: If price of least item is $10, We have $140 remaining for other 2 items. So 2 items can be a combination of ($100, $40) or ($70, $70) or ($80, $60) etc. So the sales tax will vary depending on the distribution of $140 with in 2 items.

Hence Answer A.
_________________

Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

1 KUDOS received
Director
Director
avatar
Joined: 24 Aug 2009
Posts: 510
Schools: Harvard, Columbia, Stern, Booth, LSB,
Followers: 8

Kudos [?]: 354 [1] , given: 241

Re: The average (arithmetic mean) price of the 3 items that Kate [#permalink] New post 12 Sep 2012, 12:25
1
This post received
KUDOS
Answer A

Same logic just as above
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

1 KUDOS received
Intern
Intern
avatar
Joined: 06 Jun 2012
Posts: 1
Followers: 0

Kudos [?]: 1 [1] , given: 3

Re: The average (arithmetic mean) price of the 3 items that Kate [#permalink] New post 12 Sep 2012, 14:30
1
This post received
KUDOS
Answer is A.

Total amount of 3 items = 3*50 = $150

1) Since most expensive item is $100, then remaining 2 items would have been bought in $50. Hence we can determine that tax will be applicable only the expensive item which is 6% of 100 = $6. Sufficient

2) Least expensive item is $10 which means remaining 2 items might have been bought in $140 (90,30), (70,70) etc. Cannot determine which need to be taxed. Insufficient.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18707
Followers: 3237

Kudos [?]: 22285 [0], given: 2611

Re: The average (arithmetic mean) price of the 3 items that Kate [#permalink] New post 14 Sep 2012, 05:22
Expert's post
SOLUTION

The average (arithmetic mean) price of the 3 items that Kate purchased from a clothing store was $50. If there was no sales tax on any item that had a price of less than $80 and 6 percent sales tax on all other items, what was the total sales tax on the 3 items that Kate purchased?

It's almost always better to express the average in terms of the sum: so we have that the sum of 3 items Kate purchased is 3*50=$150.

(1) The price of the most expensive item that Kate purchased from the store was $100. The sum of the prices of the 2 remaining items is $150-$100=$50. So, each price is less than $80, which means that Kate paid 6% sales tax only on the most expensive item (6% of $100). Sufficient.

(2) The price of the least expensive item that Kate purchased from the store was $10. The sum of the prices of the 2 remaining items is $150-$10=$140. If the 2 remaining prices are $70 and $70, then Kate didn't paid sales tax at all, but if the 2 remaining prices are $100 and $40, then Kate paid sales tax on $100 item. Not sufficient.

Answer: A.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

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

SVP
SVP
User avatar
Joined: 09 Sep 2013
Posts: 1713
Followers: 163

Kudos [?]: 33 [0], given: 0

Premium Member
Re: The average (arithmetic mean) price of the 3 items that Kate [#permalink] New post 01 Jul 2014, 20:09
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

Re: The average (arithmetic mean) price of the 3 items that Kate   [#permalink] 01 Jul 2014, 20:09
    Similar topics Author Replies Last post
Similar
Topics:
The table above shows the average (arithmetic mean) price per do vigrah 0 15 Jul 2013, 06:45
4 If the average (arithmetic mean) of 4 different numbers is 3 danzig 5 22 Oct 2012, 05:03
1 Experts publish their posts in the topic The table above shows the average (arithmetic mean) price pe abhishek1990p 3 11 Oct 2012, 10:20
2 Experts publish their posts in the topic The table above shows the average (arithmetic mean) price pe lahoosaher 5 30 Jun 2009, 22:40
The average (arithmetic mean) of 3a+4 and another number is tbetten 6 18 Jun 2005, 10:17
Display posts from previous: Sort by

The average (arithmetic mean) price of the 3 items that Kate

  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®.