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The price of a certain stock rose by 25 percent and then
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10 Jun 2018, 05:07
10 Jun 2018, 05:07
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Question Stats:
76% (01:13) correct
23% (00:55) wrong based on 113 sessions
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The price of a certain stock rose by 25 percent and then decreased by y percent. After the decrease, the stock was back to its original price.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
y |
25 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: The price of a certain stock rose by 25 percent and then
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11 Jul 2018, 16:01
11 Jul 2018, 16:01
2
Expert Reply
Explanation
Use a smart number for the price of the stock; for a percent problem, $100 is a good choice.
The price of the stock after a 25% increase is (1.25) × $100 = $125.
Next, find the percent decrease (y) needed to reduce the price back to the original $100. Because $125 – $25 = $100, rephrase the question: 25 is what percent of 125?
\(25=\frac{x}{100}125\)
\(x=20\)
You have to reduce 125 by 20% in order to get back to $100. Therefore, Quantity A is 20%, so Quantity B is greater.
Use a smart number for the price of the stock; for a percent problem, $100 is a good choice.
The price of the stock after a 25% increase is (1.25) × $100 = $125.
Next, find the percent decrease (y) needed to reduce the price back to the original $100. Because $125 – $25 = $100, rephrase the question: 25 is what percent of 125?
\(25=\frac{x}{100}125\)
\(x=20\)
You have to reduce 125 by 20% in order to get back to $100. Therefore, Quantity A is 20%, so Quantity B is greater.
Re: The price of a certain stock rose by 25 percent and then
[#permalink]
01 May 2020, 04:09
01 May 2020, 04:09
Using 100 as my smart number, 25% increase = $125
To get back to $100, I went this way:
$125*y%=100
y%=100/125
y%=.8
$100 is 80% of $125.
The price of $125 has to decrease by 20% to get back to $100.
25 is greater than 20, answer is B.
Another way to get to the same answer, although Sandy's way avoids having to remember to subtract 80 from 100 to get the percent decrease.
To get back to $100, I went this way:
$125*y%=100
y%=100/125
y%=.8
$100 is 80% of $125.
The price of $125 has to decrease by 20% to get back to $100.
25 is greater than 20, answer is B.
Another way to get to the same answer, although Sandy's way avoids having to remember to subtract 80 from 100 to get the percent decrease.
