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

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Manager
Status: I will not stop until i realise my goal which is my dream too
Joined: 25 Feb 2010
Posts: 208
Schools: Johnson '15

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26 Jun 2011, 03:00
00:00

Difficulty:

55% (hard)

Question Stats:

57% (01:38) correct 43% (01:12) wrong based on 21 sessions

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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

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Harsha

Note: Give me kudos if my approach is right , else help me understand where i am missing.. I want to bell the GMAT Cat

Satyameva Jayate - Truth alone triumphs

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 1900
Re: GMAT PREP TEST 2 - Q1 [#permalink]

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26 Jun 2011, 03:23
1
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

19 of them were higher; i.e. Amy's rank=81

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

85th percentile.

Ans: "D"
_________________
Manager
Status: I will not stop until i realise my goal which is my dream too
Joined: 25 Feb 2010
Posts: 208
Schools: Johnson '15
Re: GMAT PREP TEST 2 - Q1 [#permalink]

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26 Jun 2011, 05:20
1
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....
_________________

Regards,
Harsha

Note: Give me kudos if my approach is right , else help me understand where i am missing.. I want to bell the GMAT Cat

Satyameva Jayate - Truth alone triumphs

Manager
Status: I will not stop until i realise my goal which is my dream too
Joined: 25 Feb 2010
Posts: 208
Schools: Johnson '15
Re: GMAT PREP TEST 2 - Q1 [#permalink]

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26 Jun 2011, 05:21
_________________

Regards,
Harsha

Note: Give me kudos if my approach is right , else help me understand where i am missing.. I want to bell the GMAT Cat

Satyameva Jayate - Truth alone triumphs

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Joined: 09 Sep 2013
Posts: 7009

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13 Sep 2017, 10:30
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--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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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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