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Yesterday's closing prices of 2,420 different stocks listed

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Re: Yesterday's closing prices of 2,420 different stocks listed [#permalink] New post   28 Apr 2017, 03:37
Hi all,

X = Higher Price

Y = Lower Price

X is 20% greater than Y => X = 1.2Y . This first thought is straightforward. I got it.

BUT, [ X is 20% greater than Y ] is equivalent to [ Y is 20% less than X ]

So, Y = 0.8X. This second thought will give a different answer.

Kindly clarify why the second thought, Y = 0.8X, is wrong.

Many thanks.
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Re: Yesterday's closing prices of 2,420 different stocks listed [#permalink] New post   13 Dec 2020, 23:13
Bunuel wrote:
Yesterday's closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?

(A) 484
(B) 726
(C) 1,100
(D) 1,320
(E) 1,694

APPROACH #1:

Say \(x\) is the number of stocks that closed at a lower price, then \(1.2x\) is the number of stocks that closed at a higher price. Since the total number of stocks is 2,420, then \(x+1.2x=2,420\) --> \(x=1,100\), so \(1.2x=1,320\).

Answer: D.

APPROACH #2:

If the number of stocks that closed at a lower price were the same as the number of stocks that closed at a higher price, then the number of stocks that closed at a higher price would be 2,420/2=1,210. Since we know that more stocks closed at a higher price than at a lower price than the answer must be greater than 1,210: eliminate A, B, and C. Now, E cannot be correct, because in this case 1,694 closed at a higher price and ~700 closed at a lower price, but 1,694 is obviously not 20% greater than ~700, so we are left with D.

Answer: D.

Hope it's clear.



Keeping the second approach in mind, we get the higher value = lower value = 1,210. Now since Higher value is 1.2 of lower value why can't we conclude that the higher value is 1.2 of 1,210? Since 1,210 is the lower value we should be able to find 20% of this and add it up to get the higher value
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Re: Yesterday's closing prices of 2,420 different stocks listed [#permalink] New post   14 Dec 2020, 00:25
Expert Reply
Hoozan wrote:
Bunuel wrote:
Yesterday's closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?

(A) 484
(B) 726
(C) 1,100
(D) 1,320
(E) 1,694

APPROACH #1:

Say \(x\) is the number of stocks that closed at a lower price, then \(1.2x\) is the number of stocks that closed at a higher price. Since the total number of stocks is 2,420, then \(x+1.2x=2,420\) --> \(x=1,100\), so \(1.2x=1,320\).

Answer: D.

APPROACH #2:

If the number of stocks that closed at a lower price were the same as the number of stocks that closed at a higher price, then the number of stocks that closed at a higher price would be 2,420/2=1,210. Since we know that more stocks closed at a higher price than at a lower price than the answer must be greater than 1,210: eliminate A, B, and C. Now, E cannot be correct, because in this case 1,694 closed at a higher price and ~700 closed at a lower price, but 1,694 is obviously not 20% greater than ~700, so we are left with D.

Answer: D.

Hope it's clear.



Keeping the second approach in mind, we get the higher value = lower value = 1,210. Now since Higher value is 1.2 of lower value why can't we conclude that the higher value is 1.2 of 1,210? Since 1,210 is the lower value we should be able to find 20% of this and add it up to get the higher value


Because lower value must be less than 1,210 (say x) and higher value must be more than 1,210 (1.2x). So, higher value = 1.2x, where x < 1,210, not 1.2*1,210.
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Re: Yesterday's closing prices of 2,420 different stocks listed [#permalink] New post   25 Nov 2022, 06:06
Bunuel wrote:
Yesterday's closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?

(A) 484
(B) 726
(C) 1,100
(D) 1,320
(E) 1,694

APPROACH #1:

Say \(x\) is the number of stocks that closed at a lower price, then \(1.2x\) is the number of stocks that closed at a higher price. Since the total number of stocks is 2,420, then \(x+1.2x=2,420\) --> \(x=1,100\), so \(1.2x=1,320\).

Answer: D.

APPROACH #2:

If the number of stocks that closed at a lower price were the same as the number of stocks that closed at a higher price, then the number of stocks that closed at a higher price would be 2,420/2=1,210. Since we know that more stocks closed at a higher price than at a lower price than the answer must be greater than 1,210: eliminate A, B, and C. Now, E cannot be correct, because in this case 1,694 closed at a higher price and ~700 closed at a lower price, but 1,694 is obviously not 20% greater than ~700, so we are left with D.

Answer: D.

Hope it's clear.

higher price today than yesterday
I found this Line confusing I thought it meant the difference between today’s higher stocks and yesterdays higher stocks please clear my confusion thank you
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Yesterday's closing prices of 2,420 different stocks listed [#permalink] New post   25 Nov 2022, 06:39
Expert Reply
A2D2 wrote:
Bunuel wrote:
Yesterday's closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?

(A) 484
(B) 726
(C) 1,100
(D) 1,320
(E) 1,694

APPROACH #1:

Say \(x\) is the number of stocks that closed at a lower price, then \(1.2x\) is the number of stocks that closed at a higher price. Since the total number of stocks is 2,420, then \(x+1.2x=2,420\) --> \(x=1,100\), so \(1.2x=1,320\).

Answer: D.

APPROACH #2:

If the number of stocks that closed at a lower price were the same as the number of stocks that closed at a higher price, then the number of stocks that closed at a higher price would be 2,420/2=1,210. Since we know that more stocks closed at a higher price than at a lower price than the answer must be greater than 1,210: eliminate A, B, and C. Now, E cannot be correct, because in this case 1,694 closed at a higher price and ~700 closed at a lower price, but 1,694 is obviously not 20% greater than ~700, so we are left with D.

Answer: D.

Hope it's clear.

higher price today than yesterday
I found this Line confusing I thought it meant the difference between today’s higher stocks and yesterdays higher stocks please clear my confusion thank you


    The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price.

If \(x\) is the number of stocks that closed at a lower price today than yesterday, then \(1.2x\) (so 20 percent more than x) is the number of stocks that closed at a higher price today than yesterday.

Can you please tell me what is there to clarify ?
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Re: Yesterday's closing prices of 2,420 different stocks listed [#permalink] New post   25 Nov 2022, 07:55
Bunuel wrote:
A2D2 wrote:
Bunuel wrote:
Yesterday's closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?

(A) 484
(B) 726
(C) 1,100
(D) 1,320
(E) 1,694

APPROACH #1:

Say \(x\) is the number of stocks that closed at a lower price, then \(1.2x\) is the number of stocks that closed at a higher price. Since the total number of stocks is 2,420, then \(x+1.2x=2,420\) --> \(x=1,100\), so \(1.2x=1,320\).

Answer: D.

APPROACH #2:

If the number of stocks that closed at a lower price were the same as the number of stocks that closed at a higher price, then the number of stocks that closed at a higher price would be 2,420/2=1,210. Since we know that more stocks closed at a higher price than at a lower price than the answer must be greater than 1,210: eliminate A, B, and C. Now, E cannot be correct, because in this case 1,694 closed at a higher price and ~700 closed at a lower price, but 1,694 is obviously not 20% greater than ~700, so we are left with D.

Answer: D.

Hope it's clear.

higher price today than yesterday
I found this Line confusing I thought it meant the difference between today’s higher stocks and yesterdays higher stocks please clear my confusion thank you


    The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price.

If \(x\) is the number of stocks that closed at a lower price today than yesterday, then \(1.2x\) (so 20 percent more than x) is the number of stocks that closed at a higher price today than yesterday.

Can you please tell me what is there to clarify ?

This “than yesterday “ can be omitted…. We’re not comparing from yesterday as we have no data 4 yesterday,only today
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Re: Yesterday's closing prices of 2,420 different stocks listed [#permalink] New post   27 Nov 2022, 07:01
Hi,
I have a question here: when I read the question, I thought the total number of stocks can be divided into 3 sub-group: (i) stocks which performed better, (ii) stocks which performed less than yesterday, (iii) stocks which did as good as yesterday. How did you exclude the last group (i.e., those which did as good as yesterdayà in your analysis? Thank you
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Re: Yesterday's closing prices of 2,420 different stocks listed [#permalink] New post   20 Feb 2023, 22:41
Let's denote the number of stocks that closed at a higher price today than yesterday by x. Then, we know that the number of stocks that closed at a lower price is (2420 - x), since there are a total of 2,420 stocks.

We also know that the number of stocks that closed at a higher price is 20% greater than the number that closed at a lower price. Mathematically, we can express this as:

x = 1.2(2420 - x)

Expanding the right side of the equation, we get:

x = 2904 - 1.2x

Adding 1.2x to both sides, we get:

2.2x = 2904

Dividing both sides by 2.2, we get:

x = 1320

Therefore, 1320 of the stocks closed at a higher price today than yesterday.
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Re: Yesterday's closing prices of 2,420 different stocks listed [#permalink] New post   12 Dec 2023, 08:10
This final part of the question troubles me. The question asks:How many of the stocks closed at a higher price today than yesterday?

so doesn't that mean 1320(higher priced stocks today)-1100(higher priced stocks yesterday=210
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Re: Yesterday's closing prices of 2,420 different stocks listed [#permalink]
12 Dec 2023, 08:10
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