Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 29 Jun 2016, 20:52

### 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

# The price per share of stock X increased by 10 percent over

Author Message
TAGS:

### Hide Tags

Manager
Joined: 28 Feb 2003
Posts: 147
Location: Kiev
Followers: 1

Kudos [?]: 6 [0], given: 0

The price per share of stock X increased by 10 percent over [#permalink]

### Show Tags

15 Sep 2003, 03:37
3
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

76% (02:15) correct 24% (01:23) wrong based on 248 sessions

### HideShow timer Statistics

The price per share of stock X increased by 10 percent over the same time period that the price per share of stock Y decreased by 10 percent. The reduced price per share of stock Y was what percent of the original price per share of stock X?

(1) The increased price per share of stock X was equal to the original price per share of stock Y
(2) The increase in the price per share of stock X was 10/11 the decrease in the price per share of stock Y
[Reveal] Spoiler: OA

_________________

Too much is not enough...

Senior Manager
Joined: 22 Aug 2003
Posts: 257
Location: Bangalore
Followers: 1

Kudos [?]: 8 [2] , given: 0

### Show Tags

15 Sep 2003, 03:57
2
KUDOS
If X is original proce of stock x and Y original price of stock y.
then we are asked to find : 0.9Y/X

1) 1.1X = Y => we can calculate above ratio, thus suffecient.
2) 0.1X=10/11*0.1Y => we can calculate above ratio, thus suffecient.

- Vicks
SVP
Joined: 30 Oct 2003
Posts: 1793
Location: NewJersey USA
Followers: 5

Kudos [?]: 72 [0], given: 0

### Show Tags

08 Feb 2004, 09:41
I believe D is the answer.

Reduced price of Y is 0.9Y and original price of share X is X
so 0.9Y = k * X we need to determine K here.

A) 1.1X = Y
We have 0.9Y = K * X so K = 0.9Y/X = 0.9 * 1.1 X / X = 0.99
B) 0.1 X = 10/11 * 0.1 Y or X = 10Y/11
We have K = 0.9Y/X so K = 0.9Y * 11 / 10Y = 0.99
Manager
Joined: 28 Feb 2007
Posts: 197
Location: California
Followers: 2

Kudos [?]: 7 [1] , given: 0

### Show Tags

08 Apr 2007, 12:15
1
KUDOS
ggarr wrote:
The price per share of stock x increased by 10% over the same time period that the price per share of stock Y decreased by 10%. The reduced price per share of stock y was what percent of the original price per share of stock x?

(1) The increased price per share of stock x was equal to the original pricer per share of stock y?

(2) The increase in the price per share of stock x was 10/11 the decrease in the price per share of stock y.

X became 1.1 X and Y became 0.9 Y

we need to figure out 0.9Y/X = ?

From 1) we have 1.1x = y so Y/X = 1.1 hence SUFF
From 2) 0.1 X = 10/11 (0.1 Y) Again you can get X/Y so SUFF

what is the OA?
Director
Joined: 23 Sep 2007
Posts: 790
Followers: 5

Kudos [?]: 155 [0], given: 0

Re: DS: stock price % increase (OG #111) [#permalink]

### Show Tags

10 Sep 2008, 01:29
D

droopy57 wrote:
The price per share of stock X increased by 10 percent over the same time period that the price per share of stock Y decreased by 10 percent. The reduced price per share of stock Y was what percent of the original price per share of stock X?

1) The increased price per share of stock X was equal to the originial price per share of stock Y

2) The increase in the price per share of stock X was 10/11 the decrease in the price per share of stock Y

D

1) 1.1x = y suff

2) .1x * 11/10 = .1y suff
Math Expert
Joined: 02 Sep 2009
Posts: 33562
Followers: 5948

Kudos [?]: 73849 [1] , given: 9903

Re: The price per share of stock X [#permalink]

### Show Tags

28 Aug 2010, 11:28
1
KUDOS
Expert's post
seekmba wrote:
The price per share of stock X increased by 10 percent over the same time period that the price per share of stock Y decreased by 10 percent. The reduced price per share of stock Y was what percent of the original price per share of stock X?

(1) The increased price per share of stock X was equal to the original price per share of stock Y.
(2) The increase in the price per share of stock X was 10/11 the decrease in the price per share of stock Y.

I got lost in the above options and did not understand how to solve each. Will appreciate if someone (may be Bunuel) can help solve (1) and (2).

Let the initial price per share of stock X be $$x$$, so after increase by 10% it would become $$1.1x$$;
Let the initial price per share of stock Y be $$y$$, so after decrease by 10% it would become $$0.9y$$.

Question: $$\frac{0.9y}{x}=\frac{9y}{10x}=?$$

(1) $$1.1x=y$$ --> $$\frac{9y}{10x}=\frac{9*1.1x}{10x}=0.99$$ or 99%. Sufficient.

(2) $$1.1x-x=\frac{10}{11}*(y-0.9y)$$ --> $$0.1x=\frac{10}{11}*0.1y$$ --> $$1.1x=y$$ the same info as in (1). Sufficient

_________________
SVP
Joined: 17 Feb 2010
Posts: 1559
Followers: 16

Kudos [?]: 447 [1] , given: 6

Re: The price per share of stock X [#permalink]

### Show Tags

28 Aug 2010, 12:31
1
KUDOS
Thanks Bunuel.

I did not understand how you arrived at the below equation.

Question: $$0.9y/x = 9y/10x = ?$$

The reduced price per share of stock Y (0.9y) was what percent of the original price per share pf stock X (x). The reason I put $$?/100$$ is because we do not know the percentage and thats what we have to find out. What am I missing here??

--->$$0.9y = (x) X (?)/100$$
Math Expert
Joined: 02 Sep 2009
Posts: 33562
Followers: 5948

Kudos [?]: 73849 [2] , given: 9903

Re: The price per share of stock X [#permalink]

### Show Tags

28 Aug 2010, 12:41
2
KUDOS
Expert's post
seekmba wrote:
Thanks Bunuel.

I did not understand how you arrived at the below equation.

Question: $$0.9y/x = 9y/10x = ?$$

The reduced price per share of stock Y (0.9y) was what percent of the original price per share pf stock X (x). The reason I put $$?/100$$ is because we do not know the percentage and thats what we have to find out. What am I missing here??

--->$$0.9y = (x) X (?)/100$$

You got the same thing: $$0.9y=\frac{x*?}{100}$$ --> $$?=\frac{0.9y}{x}*100$$, where "?" represents the value we are looking for. The only difference is that you have it already transformed in percents and I have it as fraction.

Generally if we are asked $$m$$ is what percent of $$n$$ then: $$%=\frac{m}{n}*100$$.
_________________
SVP
Joined: 17 Feb 2010
Posts: 1559
Followers: 16

Kudos [?]: 447 [0], given: 6

Re: The price per share of stock X [#permalink]

### Show Tags

28 Aug 2010, 14:15
Ok so i was on right track. Thanks a bunch aagain
Math Forum Moderator
Joined: 20 Dec 2010
Posts: 2021
Followers: 156

Kudos [?]: 1486 [3] , given: 376

Re: OG 11 DS #111 [#permalink]

### Show Tags

14 Apr 2011, 10:30
3
KUDOS
tonebeeze wrote:
I got the problem correct. I just want to make sure my algebra translations are on point. Can someone please walk me through the algebra? Thanks!

The price per share of stock X increased by 10 percent over the same time period that the price per share of stock Y decreased by 10 percent. The reduced price per share of stock Y was what percent of the original price per share of stock X?

1. The increased price per share of stock X was equal to the original price per share of stock Y.

2. The increase in the price per share of stock X was 10/11 the decrease in the price per share of stock Y.

 Stocks Data Stock Name Price/Share(2005) Increase/Decrease in Price Reduced/Increased Price/Share(2010) X x 0.1x Increase 1.1x (Increased Price) Y y 0.1y Decrease 0.9y(Reduced Price)

Table above shows the price of stock X and Y in 2005 and 2010(duration of time for the change is same). Rest of the fields are self-explanatory.

Q: The reduced price per share of stock Y was what percent of the original price per share of stock X?

$$0.9y=(\frac{WHAT}{100})*x$$
$$WHAT=(\frac{0.9*100y}{x})$$
$$WHAT=(\frac{90y}{x})$$

Rephrase:
Q: What is $$\frac{y}{x}$$?

1. The increased price per share of stock X was equal to the original price per share of stock Y.
$$1.1x=y$$
$$\frac{y}{x}=1.1$$
Sufficient.

2. The increase in the price per share of stock X was 10/11 the decrease in the price per share of stock Y.

$$0.1x=\frac{10}{11}*0.1y$$
$$\frac{y}{x}=\frac{11}{10}$$
$$\frac{y}{x}=1.1$$
Sufficient.

Ans: "D"
_________________
SVP
Joined: 16 Nov 2010
Posts: 1673
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 34

Kudos [?]: 454 [1] , given: 36

Re: OG 11 DS #111 [#permalink]

### Show Tags

14 Apr 2011, 19:26
1
KUDOS
X2 = 1.1X

Y2 = 0.9Y

So Y2/X = ?

(1) -> X2 = Y

=> 1.1X = Y2/0.9

=> Y2/X = 99/100

sufficient

(2) -> X2 - X = 10/11(Y - Y2)

=> 1.1X - X = 10/11(0.1Y)

=> 0.1X = 0.1Y * 10/11

=> X = Y * 10/11

=> X = 10Y2 / 9 * 10/11

=> Y2/X = 99/100

Sufficient

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Director
Joined: 03 May 2007
Posts: 886
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 121 [0], given: 7

Re: Percents - "Stock Comparison" Question [#permalink]

### Show Tags

15 Aug 2011, 22:12
restore wrote:
The price per share of Stock X increased by 10 percent over the same time period that the price per share of Stock Y decreased by 10 percent. The reduced price per share of Stock Y was what percent of the original price per share of Stock X?

1. The increased price per share of Stock X was equal to the original price per share of Stock Y.
2. The increase in price per share of Stock X was $$10/11$$ the decrease in the price per share of Stock Y.

x1 = original price of x
x2 = new price of x
x2 = 1.10 x1

y1 = original price of y
y2 = new price of y
y2 = (0.90)y1

Question: reduced price of y (y2) / increased price of x (x1) = ?

Statement 1: The increased price per share of Stock X was equal to the original price per share of Stock Y.
x2 = y1
(1.10) x1 = y2/(0.90)
(1.10) (0.90) x1 = y2
y2/x1 = (1.10) (0.90)
y2/x1 = 0.99 ---------Sufficient....

Statement 2: The increase in price per share of Stock X was $$10/11$$ the decrease in the price per share of Stock Y.

x2-x1 = 10/11 (y1-y2)
11 (x2-x1) = 10 (y1-y2)
11 [(1.10) x1 - x1)] = 10 [(y2/0.90) -y2]
(0.11) x1 = [(y2 -0.9y2)/0.90]
(0.11) (0.90) x1 = (0.1) y2
(0.099) x1 = (0.1)y2
(0.99) x1 = y2
y2/x1 = 0.99 ---------Sufficient....

D.
Senior Manager
Joined: 03 Mar 2010
Posts: 440
Schools: Simon '16 (M)
Followers: 5

Kudos [?]: 230 [1] , given: 22

Re: Percents - "Stock Comparison" Question [#permalink]

### Show Tags

16 Aug 2011, 03:09
1
KUDOS
Suppose original price of Stock X and Stock Y is 100 and 110 respectively
New price of Stock X= 110
New price of Stock Y = 99

Stmt1: The increased price per share of Stock X was equal to the original price per share of Stock Y.
110=110.
The reduced price per share of Stock Y was what percent of the original price per share of Stock X?
=99/100*100 =99
Sufficient.

Stmt2: The increase in price per share of Stock X was 10/11 the decrease in the price per share of Stock Y.
10=10/11 (11)
The reduced price per share of Stock Y was what percent of the original price per share of Stock X?
=99/100*100 =99
Sufficient.

OA D
_________________

My dad once said to me: Son, nothing succeeds like success.

Manager
Joined: 05 Oct 2011
Posts: 171
Followers: 9

Kudos [?]: 46 [1] , given: 62

Re: The price per share of stock X increased by 10 percent over [#permalink]

### Show Tags

10 Nov 2011, 12:00
1
KUDOS
Just thought of posting another way to solve this.

Since the final value to find is a percent -
Assume original value of x is 100. New value of x is 110
Original value of y is y. New value is 0.9y
What is (.9y/100) 100 =?
(1) 110 = y
Sufficient
(2) 10 = 10/11 (0.1y)
Sufficient

Ans: D

Note that (1) and (2) give the same data in different forms.
Intern
Joined: 22 Aug 2013
Posts: 1
Followers: 0

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

Re: The price per share of stock X increased by 10 percent over [#permalink]

### Show Tags

22 Aug 2013, 01:58
Sorry All but I was not able to view the options given. I am using Firefox browser.
Math Expert
Joined: 02 Sep 2009
Posts: 33562
Followers: 5948

Kudos [?]: 73849 [0], given: 9903

Re: The price per share of stock X increased by 10 percent over [#permalink]

### Show Tags

22 Aug 2013, 02:30
Expert's post
SrirFwd wrote:
Sorry All but I was not able to view the options given. I am using Firefox browser.

This is a data sufficiency question. Options for DS questions are always the same.

The data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of the word counterclockwise), you must indicate whether—

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Hope this helps.
_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 10236
Followers: 483

Kudos [?]: 124 [0], given: 0

Re: The price per share of stock X increased by 10 percent over [#permalink]

### Show Tags

21 Dec 2014, 07:14
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.
_________________
Manager
Joined: 10 May 2014
Posts: 136
Followers: 0

Kudos [?]: 54 [0], given: 28

Re: The price per share of stock X increased by 10 percent over [#permalink]

### Show Tags

25 Nov 2015, 17:42
1
This post was
BOOKMARKED
Given
1.1x
0.9y

(0.9y/x)*100 = ¿?
THE KEY: This is a COMBO QUESTION --> Knowing y/x (or knowing that you have sufficient information to know y/x) is sufficient.

Statement 1
1.1x = y
If you manipulate the equation, you can get y/x

Statement 2
0.1x = (10/11) 0.1y
If you manipulate the equation, you can get y/x

Note the difference between:
- the increase IN THE price of x -->0.1x
- the decrease IN THE price of y --> 0.1y
- the INCREASED price in x --> 1.1x
- the DECREASED price in y -->0.9y
_________________

Consider giving me Kudos if I helped, but don´t take them away if I didn´t!

What would you do if you weren´t afraid?

Manager
Joined: 16 Jan 2013
Posts: 77
GMAT 1: Q V
GPA: 2.75
Followers: 1

Kudos [?]: 0 [0], given: 438

Re: The price per share of stock X increased by 10 percent over [#permalink]

### Show Tags

24 May 2016, 22:59
Bunuel, really nice explanation. Thanks a lot!
Re: The price per share of stock X increased by 10 percent over   [#permalink] 24 May 2016, 22:59
Similar topics Replies Last post
Similar
Topics:
1 What is the increasing percent of the price of the company's stocks 3 09 Nov 2014, 07:33
14 The price per share of Stock X increased by 10 percent over 3 18 Dec 2012, 06:47
1 Value per share of the stock 1 15 Mar 2012, 03:47
4 If x equally priced shares of a certain stock were valued 4 15 Mar 2012, 01:30
1 The price of car A increased by 20 percent over the same 3 28 Mar 2010, 16:28
Display posts from previous: Sort by