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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.
(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.
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09 Oct 2006, 08:47
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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.
(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.
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
My edited answer is C
(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
My edited answer is C
