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# Zapa, a shoe manufacturer, sells shoes to retailers in only

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GMAT Instructor
Joined: 04 Jul 2006
Posts: 1262
Zapa, a shoe manufacturer, sells shoes to retailers in only [#permalink]

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09 Oct 2006, 07:48
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Zapa, a shoe manufacturer, sells shoes to retailers in only two countries, Germany and The Netherlands. German retailers constitute 65% of the retailers Zapa deals with. Do the German retailers that carry Zapa shoes for both men and women outnumber the Dutch retailers that do so?

(1) More than half of Zapa's German retailers carry Zapa shoes for both men and women.
(2) If x% of Zapa's German retailers carry Zapa shoes for both men and women, (x+40)% of Zapa's Dutch retailers do so.
Manager
Joined: 01 Jun 2006
Posts: 139

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09 Oct 2006, 08:47
A is the number of retailer that Zapa deals with
(1) just tells that if x% of Zapa's German retailers carry Zapa shoes for both men and women, so x>50%
(2) tells that in German G=x%*0.65*A sell shoes for both men and women then N=(x%+40%)*0.35*A in Holland do so
If G>N <=> x>46.66%

So C it is.
SVP
Joined: 05 Jul 2006
Posts: 1747

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09 Oct 2006, 11:58
Zapa, a shoe manufacturer, sells shoes to retailers in only two countries, Germany and The Netherlands. German retailers constitute 65% of the retailers Zapa deals with. Do the German retailers that carry Zapa shoes for both men and women outnumber the Dutch retailers that do so?

(1) More than half of Zapa's German retailers carry Zapa shoes for both men and women.
(2) If x% of Zapa's German retailers carry Zapa shoes for both men and women, (x+40)% of Zapa's Dutch retailers do so.

assume Zapa deals with 100 retailers in both countries

german = 65 netherlands = 35

z = german retailers carry both thus 65-z is geram retailers who dont
y = netherlands...............................35-y is nethrlands who dont

from one

z> 32.5 .........no idea about the netherlands ones....insuff

from two

let x% = 10 thus 6.5 german retailers do both kinds
and thus 17.5 netherlands do both

max x% could be 60% and let minimum = 1%

if x= 60% number of german retailers = 39 and 100% of dutch is 35

german> dutch

if x = 1% german = .65 and dutch = 14.cc , dutch > german.....insuff

both together

x% is always > 50%
ASSUME THAT X =50%
GERMAN COULD BE = 32.5 AND THUS DUTCH = 31

ALWAYS GERMAN > DUTCH

Last edited by yezz on 09 Oct 2006, 12:32, edited 2 times in total.
Director
Joined: 23 Jun 2005
Posts: 841
GMAT 1: 740 Q48 V42

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09 Oct 2006, 12:06
C

Statement 1:

German retailers carrying both men's and women's shoes >32.5%

INSUFF

Statement 2:

Dutch retailers carrying both men's and women's shoes = (35x/100)+14

German retailers carrying both men's and women's shoes = 65x/100

Without knowing x, cannot be solved. INSUFF

Putting 1 and 2 together, we know x>32.5. So can be solved.
Director
Joined: 23 Jun 2005
Posts: 841
GMAT 1: 740 Q48 V42

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09 Oct 2006, 12:10
yezz wrote:

from two

let x% = 10 thus 6.5 german retailers do both kinds
and thus 17.5 netherlands do both

max x% could be 60% and let minimum = 1%

Always the dutch outnumbers i believe the answer is b

Great work, Yezz! You're right and the answer is
B
Manager
Joined: 11 Jan 2006
Posts: 230
Location: Arkansas, US
WE 1: 2.5 yrs in manufacturing

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10 Oct 2006, 04:26
yezz wrote:
Zapa, a shoe manufacturer, sells shoes to retailers in only two countries, Germany and The Netherlands. German retailers constitute 65% of the retailers Zapa deals with. Do the German retailers that carry
max x% could be 60% and let minimum = 1%

x% is always > 50%
ASSUME THAT X =50%
GERMAN COULD BE = 32.5 AND THUS DUTCH = 31

ALWAYS GERMAN > DUTCH

Hey Yezz....tht was was a very gud explanation from ur side....gud work..
_________________

ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

10 Oct 2006, 04:26
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