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Amy's grade was the 90th percentile of the 80 grades for her

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Amy's grade was the 90th percentile of the 80 grades for her [#permalink]

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New post 26 Jun 2011, 03:00
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Question Stats:

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Amy's grade was the 90th percentile of the 80 grades for her class. Of the 100 grades from another class, 19 were higher than Amy's and the rest were lower. If no other grade was the same as Amy's grade, then Amy's grade was what percentile of the grades of the two classes combined?

1. 72nd
2. 80th
3. 81st
4. 85th
5. 92nd
[Reveal] Spoiler: OA

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Re: GMAT PREP TEST 2 - Q1 [#permalink]

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New post 26 Jun 2011, 03:23
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harshavmrg wrote:
Amy's grade was the 90th percentile of the 80 grades for her class. Of the 100 grades from another class, 19 were higher than Amy's and the rest were lower. If no other grade was the same as Amy's grade, then Amy's grade was what percentile of the grades of the two classes combined?

1. 72nd
2. 80th
3. 81st
4. 85th
5. 92nd


90th percentile of 80 means 10% scored higher than Amy.
Thus, Amy's rank=80*0.9=72

Another class; 100 grades
19 of them were higher; i.e. Amy's rank=81

Total grades=100+80=180
Amy's grade overall=72+81=153

153 is what percent of 180; 153/180=51/60=17/20=85/100

85th percentile.

Ans: "D"
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Re: GMAT PREP TEST 2 - Q1 [#permalink]

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New post 26 Jun 2011, 05:20
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i think they had discussed the same problem here too...

http://www.beatthegmat.com/percentile-p ... 46485.html

I think, based on the link above, the solution is best explained as
in Amy's class 9 were above her and in the other class there were 19 above her...so in the combined class 9+19= 28

the combined class strength is 100+80 = 180

so now 180-28= 152

so

152/180 = x/100

x= 84.44 percentile

hence rounding it off, it is 85th percentile...

i hope this answers..but i am still not convinced though....
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Re: GMAT PREP TEST 2 - Q1 [#permalink]

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New post 26 Jun 2011, 05:21
@Fluke...thanks for the answer...
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Note: Give me kudos if my approach is right , else help me understand where i am missing.. I want to bell the GMAT Cat ;)

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Re: Amy's grade was the 90th percentile of the 80 grades for her [#permalink]

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New post 13 Sep 2017, 10:30
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Re: Amy's grade was the 90th percentile of the 80 grades for her   [#permalink] 13 Sep 2017, 10:30
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