At the opening of a trading day, stock X had a value of $40.00 per sha

Question

At the opening of a trading day, stock X had a value of $40.00 per share and stock Y had a value of $25 per share. At the closing of the day, stock X had a value of $41.00 per share and stock Y had a value of $28.50 per share. For the trading day, the percent increase in the value of stock Y was how many percentage points great than the percent increase of the value of stock X?

A) 2.5
B) 6.25
C) 10
D) 11.5
E) 12.5

* Also Can anyone show a trick for calculating 3.5/ 25? Should you change the 3.5 to a whole number?

A) 2.5
B) 6.25
C) 10
D) 11.5
E) 12.5

* Also Can anyone show a trick for calculating 3.5/ 25? Should you change the 3.5 to a whole number?

CrackverbalGMAT · Answer

% Increase =  \frac{Difference}{Smaller. Number}  x 100

% Decrease =  \frac{Difference}{Larger. Number}  x 100

Opening Value of stock X = $40 and closing value = $41

% Increase =  \frac{41 - 40}{40}  x 100 =  \frac{1 - 40}{40}  x 100 = 2.5%

Opening Value of stock Y = $25 and closing value =  \frac{3.5}{25}  x 100 = $28.5

% Increase =  \frac{28.5 - 25}{25}  x 100 = 14%

The difference in percentage points points for the 2 stocks = 14 - 2.5 = 11.5%

Option D

Please Note :  To calculate 3.5/25it is better to convert 3.5 to a whole number = 35/250 = 7/50 = 0.14

But in the sum above, this would not be required as you have 100 in the numerator which is divisible by 25, and so (3.5 / 25) * 100becomes 3.5 * 4 = 14

Arun Kumar

Yogananda · Answer

Percentage increase in Share X = (41-40)*100/40 = 2.5%
Percentage increase in Share Y = (28.5-25)*100/25 = 14%
14-2.5 = 11.5%

D is the answer.
Hope it helps.

Tiburcio1987 · Answer

level question please?

Bunuel · Answer

You can check the difficulty level of a questions in the tags above the original post. For this one, the difficulty level is 600-700.

Loser94 · Answer

Percentage increase in Share X = (41-40)*100/40 =1/40*100=2.5%
Percentage increase in Share Y = (28.5-25)*100/25 = 3.5*4%=14%

Difference
14%-2.5% = 11.5%

Answer D

GMATWhizTeam · Answer

Solution 
 • Increase in the stoke X’s value  = 41 – 40 = $1 
 o So, percent increase in stoke X’s value =  \frac{1}{40}*100 = 2.5 % 
• Increase in the stoke Y’s value  = 28.50 – 25 = $3.5 
 o So, percent increase in stoke Y’s value =  \frac{3.5}{25}*100 = \frac{350}{25} =14 % 
• Therefore, the difference between percent increase in stoke Y’s and stoke X’s value  = 14 – 2.5 =11.5  percent points. 
Thus, the correct answer is  Option D.

MathRevolution · Answer

Percent change :  \frac{After - Before }{ Before}  * 100

Percent increase for X:  \frac{41 - 40}{40}  * 100 = 2.5

Percent increase for Y :  \frac{28.50 - 25}{25}  * 100 = 14

Y was how many percentage points great than the percent increase in the value of stock X: Y - X

=> 14.5 - 2.5 = 11.5

Answer D

nilsruge · Answer

To answer your question:
A trick for calculating 3.5/25 would be to multiply it by 4/4 to get 14/100 which is equal to 14%

At the opening of a trading day, stock X had a value of $40.00 per sha

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At the opening of a trading day, stock X had a value of $40.00 per sha

Prep Toolkit

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