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Which one has greater discount on dollar amount?

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Which one has greater discount on dollar amount? [#permalink] New post 05 Oct 2009, 08:49
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Question Stats:

58% (02:33) correct 42% (01:09) wrong based on 12 sessions
Which one has greater discount on dollar amount?

(1) The coat discounts 2% more than does the sweater
(2) The coat sale price before the discount was 10 dollar less than the sweater
[Reveal] Spoiler: OA
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Re: Dollar discount [#permalink] New post 05 Oct 2009, 09:59
Expert's post
E.

Q --> C*Dc>S*Ds?
C=Coat price, S=Sweater price, Dc and Ds their discounts.

(1) C*Dc>S(Dc-2)?
Three variables not sufficient

(2) C*Dc>(C+10)Ds?
Three variables not sufficient

(1)+(2) C*Dc>(C+10)*(Dc-2)
Two variables not sufficient

E.
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Re: Dollar discount [#permalink] New post 05 Oct 2009, 10:15
For stmt2,
C is 10 less than S. Now even if C gives the same percentage of discount the $ discount of C will be less than S. If C gives 2% further discount, then $ discount in C will still be less.

Or ?? any counter examples?
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Re: Dollar discount [#permalink] New post 05 Oct 2009, 10:38
Expert's post
Economist wrote:
For stmt2,
C is 10 less than S. Now even if C gives the same percentage of discount the $ discount of C will be less than S. If C gives 2% further discount, then $ discount in C will still be less.

Or ?? any counter examples?


Not so:

Case A: C=100 Dc=12% Discount12$> S=110 Ds=10% Discount=11$
Case B: C=20 Dc=12% Discount2.4$< S=30 Ds=10% Discount=3$

Still E.
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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

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Re: Dollar discount [#permalink] New post 05 Oct 2009, 11:00
Cool, so for problems in which two quantities increase or decrease by two different percentages we CANNOT conclude anything about the actual numerical values unless we know ATLEAST 3 values :wink:
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Re: Dollar discount [#permalink] New post 05 Oct 2009, 11:15
Expert's post
Economist wrote:
Cool, so for problems in which two quantities increase or decrease by two different percentages we CANNOT conclude anything about the actual numerical values unless we know ATLEAST 3 values :wink:


Not exactly so, if we were told (or if we were able to determine from statement 1 or/and 2) that coat costs less then sweater and discount for coat was less then that for sweater, we would be able to conclude that discount in dollars for sweater is more.
_________________

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.


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Re: Dollar discount [#permalink] New post 05 Oct 2009, 11:29
Bunuel wrote:
Economist wrote:
Cool, so for problems in which two quantities increase or decrease by two different percentages we CANNOT conclude anything about the actual numerical values unless we know ATLEAST 3 values :wink:


Not exactly so, if we were told (or if we were able to determine from statement 1 or/and 2) that coat costs less then sweater and discount for coat was less then that for sweater, we would be able to conclude that discount in dollars for sweater is more.


Thank you for explaning that Bunuel. I am bit lazy today!! May be its because of weather outside :|
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Re: Dollar discount [#permalink] New post 05 Oct 2009, 11:33
Yup..this is an important concept which is often tested in DS..percentage Vs numerical values..so its worth polishing :)

hgp2k : Guess the weather is always dull at your place :-D
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Re: Dollar discount [#permalink] New post 05 Oct 2009, 12:05
Economist wrote:
Yup..this is an important concept which is often tested in DS..percentage Vs numerical values..so its worth polishing :)

hgp2k : Guess the weather is always dull at your place :-D

:-D, yeah buddy!! I ALWAYS tend to be lazy :P. I will try explaning the answers in future... :)
Re: Dollar discount   [#permalink] 05 Oct 2009, 12:05
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