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Interesting GMATFix Problem-14

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Interesting GMATFix Problem-14

by arora007 » Tue Sep 21, 2010 12:53 pm
A store sells 3 items either separately or bundled. When the items are bundled, the most expensive item costs 20% above its regular price while 2nd most expensive and the least expensive are each discounted by 15%. Is it cheaper to buy the 3 items in a bundle than to buy them separately at their regular prices?
1) The 2nd most expensive item costs $10
2) The least expensive item costs $3
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by clock60 » Tue Sep 21, 2010 11:56 pm
here i got C ,
we have x1<x2<x3, where x1,x2,x3 are prices of goods in increasing order, and we need to know is
1.2*x3+0.85*x2+0.85*x1>x3+x2+x1, after transforming
0,2*x3>0,15*x2+0,15*x1, is
4*x3>3*(x1+x2)

(1) insufficient, we are given that x2=10, so x1<10, and x3>10.
3*(x1+x2)<20*3<60, and x3>4*10>40 but differnt figures are possible
for example: x2=10. x1=1 then 3(10+1)=33 and x3=11, 11*4=44. 44>33 the answer is yes.
x2=10, x1=9 10+9=19*3=57, x3=11, 11*4=44, 44>57. the answr is no

(2) also insufficient to me, easy to insert numbers and to verify

both x1=3, x2=10, 3+10=13*3=39, x3>10, 4*10=40, 40 >39 sufficient
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by arora007 » Wed Sep 22, 2010 2:48 am
OA is C indeed!
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