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555-605 (Medium)|   Percent and Interest Problems|                  
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Yesterday's closing prices of 2,420 different stocks listed 13 Dec 2020, 23:13
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Bunuel
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.
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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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Yesterday's closing prices of 2,420 different stocks listed 14 Dec 2020, 00:25
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Bunuel
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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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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Yesterday's closing prices of 2,420 different stocks listed 25 Nov 2022, 06:06
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Bunuel
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.
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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 25 Nov 2022, 06:39
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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
Show more

    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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Yesterday's closing prices of 2,420 different stocks listed 25 Nov 2022, 07:55
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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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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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Yesterday's closing prices of 2,420 different stocks listed 27 Nov 2022, 07:01
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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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Yesterday's closing prices of 2,420 different stocks listed 27 Nov 2022, 09:18
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Hereil
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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You should read the questions more carefully:

Yesterday's closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today's closing prices.
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Yesterday's closing prices of 2,420 different stocks listed 20 Feb 2023, 22:41
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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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Yesterday's closing prices of 2,420 different stocks listed 12 Dec 2023, 08:10
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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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Yesterday's closing prices of 2,420 different stocks listed 13 Aug 2024, 12:05
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A solution I haven't seen on this thread yet is using ratios.

We know that there are 20% more stocks that closed higher than lower.

6:5 (Stocks closing higher : Stocks closing lower).

The sum of the ratio is 11, divide 2420 by 11 to get 220.

Stocks closing higher: 6 x 220 = 1320

Stocks closing lower: 5 x 220 = 1100

1320:1100

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Yesterday's closing prices of 2,420 different stocks listed 08 Jun 2025, 05:58
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Hi KarishmaB we are asked How many of the stocks closed at a higher price today than yesterday?

then shouldn't the ans be Stocks closing at higher price today - Stocks closing at higher price yesterday?

why are we not considering the yesterday ones?
KarishmaB
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Bunuel
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.

Hi Bunuel, can you recommend some similiar problems to solve, in order one can distinguish between such cases as here --> I've almost got trapped and solved it this way--- H=60% Low=40% etc.... , actually I've solved it this way, but didn't receive the correct answer and solved it another way 1,2x+x


In percentage questions, always notice what comes after "than" very carefully. The thing that comes after "than" is the base. So you need to take a percentage of the thing that comes after "than".

"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."

You are comparing the number of stocks that closed higher with the number of stocks that closed lower. The number of stocks that closed higher are 20% more than the number of stocks that closed lower. So if L stocks closed lower, 1.2L stocks closed higher.
If you did consider values 60 and 40, you should have verified them: is 60 20% more than 40? 60 is 20 more than 40. 20 is 50% of 40. So 60 is 50% more than 40, the base. Hence 60 and 40 are incorrect values.
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Yesterday's closing prices of 2,420 different stocks listed 08 Jun 2025, 21:17
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We need those stocks for which the price is higher today than yesterday. The comparison is with yesterday's prices. Otherwise 'higher' makes no sense.

If the question were - How many of the stocks closed at a higher price today?

Technically, this is not complete. Price higher than? than what they opened at. Or than what they closed at yesterday. Or what they closed at last Monday. etc



Natansha
Hi KarishmaB we are asked How many of the stocks closed at a higher price today than yesterday?

then shouldn't the ans be Stocks closing at higher price today - Stocks closing at higher price yesterday?

why are we not considering the yesterday ones?
KarishmaB


In percentage questions, always notice what comes after "than" very carefully. The thing that comes after "than" is the base. So you need to take a percentage of the thing that comes after "than".

"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."

You are comparing the number of stocks that closed higher with the number of stocks that closed lower. The number of stocks that closed higher are 20% more than the number of stocks that closed lower. So if L stocks closed lower, 1.2L stocks closed higher.
If you did consider values 60 and 40, you should have verified them: is 60 20% more than 40? 60 is 20 more than 40. 20 is 50% of 40. So 60 is 50% more than 40, the base. Hence 60 and 40 are incorrect values.
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Yesterday's closing prices of 2,420 different stocks listed 05 Oct 2025, 04:41
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so this is my approach, I hope it makes sense - it took me about 1.30 min:

we know the #of stocks at a higher price is 20% more than the #of stocks with a lower price. I.e., higher/lower = 6/5.
Therefore higher/Total = 6/11 (higher + lower = Total: 6+5=11)

so the number of stocks with a higher price is 6/11 of the total 2420: 2420*6= 14520 --> 14520/11= 1320

hope this helps
conty911
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

Show Spoiler
Source :OG-13; Q71(PS)

Folks, please write the answer with all the steps. The answer is clear cut but the only thing I'm interested in is the interpretation of the word problem and the respective approach to solve it. Thanks.
If any body used tabular approach, i will be glad to see it because i had trouble solving this problem with the same.
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