GMAT Changed on April 16th - Read about the latest changes here

It is currently 22 Apr 2018, 01:20

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

Events & Promotions in June
Open Detailed Calendar

Kwasi has S dollars. The purchase price of a television set that Kwasi

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 44599
Kwasi has S dollars. The purchase price of a television set that Kwasi [#permalink]

Show Tags

New post 12 Apr 2018, 21:47
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

75% (01:05) correct 25% (02:18) wrong based on 8 sessions

HideShow timer Statistics

Kwasi has S dollars. The purchase price of a television set that Kwasi wants to buy is P dollars plus 8 percent sales tax. Does Kwasi have enough money to purchase the item?

(1) P dollars = $405
(2) P dollars = 0.9S dollars
[Reveal] Spoiler: OA

_________________

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

Expert Post
SVP
SVP
User avatar
P
Joined: 08 Jul 2010
Posts: 2067
Location: India
GMAT: INSIGHT
WE: Education (Education)
Reviews Badge
Kwasi has S dollars. The purchase price of a television set that Kwasi [#permalink]

Show Tags

New post 12 Apr 2018, 22:22
Bunuel wrote:
Kwasi has S dollars. The purchase price of a television set that Kwasi wants to buy is P dollars plus 8 percent sales tax. Does Kwasi have enough money to purchase the item?

(1) P dollars = $405
(2) P dollars = 0.9S dollars


Question : Is S ≥ 1.08P ?

Statement 1: P dollars = $405

No information about S hence

NOT SUFFICIENT

Statement 2: P dollars = 0.9S dollars

i.e. S = 1.11 P

i.e. S is greater than 1.08 P

Exact relation between P and S hence

SUFFICIENT

Answer: option B
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

DS Forum Moderator
avatar
G
Joined: 22 Aug 2013
Posts: 1021
Location: India
Premium Member CAT Tests
Re: Kwasi has S dollars. The purchase price of a television set that Kwasi [#permalink]

Show Tags

New post 12 Apr 2018, 22:25
Bunuel wrote:
Kwasi has S dollars. The purchase price of a television set that Kwasi wants to buy is P dollars plus 8 percent sales tax. Does Kwasi have enough money to purchase the item?

(1) P dollars = $405
(2) P dollars = 0.9S dollars


(1) P = $405, now lets apply 8% tax which is 8/100 * 405 = 32.4
So total purchase price = 405 + 32.4 = $437.4
But without knowing the value of S, we cannot say whether S is greater than equal to 437.4 or not. So not sufficient.

(2) P = 0.9*S. Now sales tax = 8% of 0.9S = 0.08*0.9*S = 0.072*S
So total purchase price = 0.9*S + 0.072*S = 0.972*S
But Kwasi has S dollars, which is definitely more than 0.972*S. Thus she has enough money. Sufficient.

Hence B answer
Manager
Manager
avatar
B
Joined: 31 Oct 2013
Posts: 102
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
CAT Tests
Re: Kwasi has S dollars. The purchase price of a television set that Kwasi [#permalink]

Show Tags

New post 13 Apr 2018, 00:11
Bunuel wrote:
Kwasi has S dollars. The purchase price of a television set that Kwasi wants to buy is P dollars plus 8 percent sales tax. Does Kwasi have enough money to purchase the item?

(1) P dollars = $405
(2) P dollars = 0.9S dollars


In this question there are 2 variables and sales tax % is given. We are to find out whether Kwasi has sufficient balance to buy a television set.

statement 1: only the value of p is given. P is basically the price of television set. Not sufficient. Kwasi may have that value or may not have. no information about S dollars belons to kwasi.

statement 2: It states that p is 90% of S. whatever value Kwasi has is 90% of the that amount is p. we know there will be 8% sales tax. So, tax will be 0.9*0.08= 0.072 dollar.
So, this statement is sufficient. The amount kwasi has is enough to buy a television set.

Thus, statement B is the answer.
Re: Kwasi has S dollars. The purchase price of a television set that Kwasi   [#permalink] 13 Apr 2018, 00:11
Display posts from previous: Sort by

Kwasi has S dollars. The purchase price of a television set that Kwasi

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.