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 Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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

A

B

C

D

E

Difficulty:

15% (low)

Question Stats:

76% (02:15) correct
24% (01:23) wrong based on 247 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

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

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

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

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

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??

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: \(%=\frac{m}{n}*100\). _________________

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?

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.

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.

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

Show Tags

10 Nov 2011, 12:00

1

This post received 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.

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. D. EACH 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.

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. _________________

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!

Part 2 of the GMAT: How I tackled the GMAT and improved a disappointing score Apologies for the month gap. I went on vacation and had to finish up a...

Cal Newport is a computer science professor at GeorgeTown University, author, blogger and is obsessed with productivity. He writes on this topic in his popular Study Hacks blog. I was...

So the last couple of weeks have seen a flurry of discussion in our MBA class Whatsapp group around Brexit, the referendum and currency exchange. Most of us believed...