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Which one has greater discount on dollar amount? 05 Oct 2009, 09:49
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75% (hard)

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17% (03:19) correct 83% (01:29) wrong based on 6 sessions

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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



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Which one has greater discount on dollar amount? 05 Oct 2009, 10:59
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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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Which one has greater discount on dollar amount? 05 Oct 2009, 11:15
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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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Which one has greater discount on dollar amount? 05 Oct 2009, 11:38
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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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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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Which one has greater discount on dollar amount? 05 Oct 2009, 12:00
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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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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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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.
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Which one has greater discount on dollar amount? 05 Oct 2009, 12:29
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Bunuel
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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.
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Thank you for explaning that Bunuel. I am bit lazy today!! May be its because of weather outside :|
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Which one has greater discount on dollar amount? 05 Oct 2009, 12:33
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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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Which one has greater discount on dollar amount? 05 Oct 2009, 13:05
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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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:-D, yeah buddy!! I ALWAYS tend to be lazy :P. I will try explaning the answers in future... :)



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