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# Which one has greater discount on dollar amount?

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Director
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Which one has greater discount on dollar amount? [#permalink]  05 Oct 2009, 08:49
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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
[Reveal] Spoiler: OA
Math Expert
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Re: Dollar discount [#permalink]  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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Director
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Re: Dollar discount [#permalink]  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]  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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Re: Dollar discount [#permalink]  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
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Re: Dollar discount [#permalink]  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

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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Re: Dollar discount [#permalink]  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

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
Director
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Schools: IIM Lucknow (IPMX) - Class of 2014
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Kudos [?]: 443 [0], given: 18

Re: Dollar discount [#permalink]  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
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Re: Dollar discount [#permalink]  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

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