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The price per share of stock X increased by 10 percent over [#permalink]
15 Sep 2003, 02:37

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25% (medium)

Question Stats:

74% (02:14) correct
26% (00:59) wrong based on 117 sessions

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

Re: The price per share of stock X [#permalink]
28 Aug 2010, 10:28

1

This post received 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

Re: The price per share of stock X [#permalink]
28 Aug 2010, 11:31

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This post received 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??

Re: The price per share of stock X [#permalink]
28 Aug 2010, 11:41

2

This post received 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. _________________

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]
10 Nov 2011, 11:00

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]
22 Aug 2013, 01:30

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.

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