Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 29 May 2017, 11:12

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If the price increased by x% from 2001 to 2002 and by y% fro

Author Message
TAGS:

### Hide Tags

Manager
Joined: 03 Sep 2009
Posts: 77
Followers: 1

Kudos [?]: 106 [1] , given: 3

If the price increased by x% from 2001 to 2002 and by y% fro [#permalink]

### Show Tags

18 Jan 2010, 01:29
1
KUDOS
7
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

62% (02:05) correct 38% (01:29) wrong based on 177 sessions

### HideShow timer Statistics

If the price increased by x% from 2001 to 2002 and by y% from 2002 to 2003, what is the percentage increase from 2001 to 2003?

(1) xy = 30
(2) 100x + 100y + xy = 800
[Reveal] Spoiler: OA
Joined: 20 Aug 2009
Posts: 307
Location: Tbilisi, Georgia
Schools: Stanford (in), Tuck (WL), Wharton (ding), Cornell (in)
Followers: 19

Kudos [?]: 151 [2] , given: 69

### Show Tags

18 Jan 2010, 05:54
2
KUDOS
Price in 2002=(1+x)*Price-in-2001

Price in 2003=(1+y)*Price-in-2002=(1+x)(1+y)*Price-in-2001=(1+x+y+xy)*Price-in-2001

So basically, we need to determine (1+x+y+xy), where x=X/100, y=Y/100. 1+X/100+Y/100+XY/10,000

St1: XY=30 - > Clearly Insufficient

St2: 100X+100Y+XY=800; => X+Y+XY/100 = 8 => X/100+Y/100+XY/10,000 = 0.08 That's what we wanted. Sufficient

(B)
Manager
Joined: 03 Sep 2009
Posts: 77
Followers: 1

Kudos [?]: 106 [0], given: 3

### Show Tags

18 Jan 2010, 09:16
Many thanks for the explanation!!
Math Expert
Joined: 02 Sep 2009
Posts: 39054
Followers: 7755

Kudos [?]: 106559 [0], given: 11628

Re: If the price increased by x% from 2001 to 2002 and by y% fro [#permalink]

### Show Tags

20 Sep 2013, 11:58
Expert's post
2
This post was
BOOKMARKED
amitanand wrote:
If the price increased by x% from 2001 to 2002 and by y% from 2002 to 2003, what is the percentage increase from 2001 to 2003?

(1) xy = 30
(2) 100x + 100y + xy = 800

m12 q35

If the price increased by x% from 2001 to 2002 and by y% from 2002 to 2003, what is the percentage increase from 2001 to 2003?

The price in 2001 - $$p$$;
The price in 2002 - $$p*(1+\frac{x}{100})$$;
The price in 2003 - $$p*(1+\frac{x}{100})(1+\frac{y}{100})=p(1+\frac{y}{100}+\frac{x}{100}+\frac{xy}{10,000})$$;

The percentage increase from 2001 to 2003 is $$\frac{2003-2001}{2001}*100=x+y+\frac{xy}{100}$$.

(1) xy = 30. Not sufficient.

(2) 100x + 100y + xy = 800 --> divide both sides by 100: $$x+y+\frac{xy}{100}=8$$, directly gives the answer. Sufficient.

_________________
Intern
Joined: 10 Aug 2013
Posts: 20
Followers: 0

Kudos [?]: 10 [0], given: 17

Re: If the price increased by x% from 2001 to 2002 and by y% fro [#permalink]

### Show Tags

22 Sep 2013, 03:17
amitanand wrote:
If the price increased by x% from 2001 to 2002 and by y% from 2002 to 2003, what is the percentage increase from 2001 to 2003?

(1) xy = 30
(2) 100x + 100y + xy = 800

Let price, P be 100.

after x% increase, price P1 = 100+x

After y% further increase, price P2 = 100+x + (100+x)*(y/100)

% increase = Increase in price / original price = (p2-p)*100/p = (100 X +100Y+xy)/100.

B gives numerator value. so sufficient but A is not.
_________________

The First and Last time !!!

BKPL - Below Kudos Poverty Line .....Need your help.

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15519
Followers: 651

Kudos [?]: 210 [0], given: 0

Re: If the price increased by x% from 2001 to 2002 and by y% fro [#permalink]

### Show Tags

14 Sep 2015, 14:30
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15519
Followers: 651

Kudos [?]: 210 [0], given: 0

Re: If the price increased by x% from 2001 to 2002 and by y% fro [#permalink]

### Show Tags

07 Nov 2016, 13:25
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: If the price increased by x% from 2001 to 2002 and by y% fro   [#permalink] 07 Nov 2016, 13:25
Similar topics Replies Last post
Similar
Topics:
4 Price of a Belgian chocobar has increased by x percent 3 10 Apr 2017, 23:25
1 What was the approximate percent increase from 2001 to 2002 in the cos 1 26 Sep 2016, 03:56
If the price increased by X% from 2001 to 2002 and by Y% 6 22 Mar 2011, 19:04
3 Price increased by M% from 1991 to 1992 and by N% from 1992 3 16 Jun 2016, 23:41
14 2001, the closing price of stock A and stock B are the same. 5 21 May 2016, 04:07
Display posts from previous: Sort by