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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]

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New post 11 Mar 2017, 14:10
x- higher prices
y - lower prices

x=1,2 y
x + y=2420
1,2y + y=2420
2,2y=2420
y=1100
x=1320
Hence, D
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New post 18 Mar 2017, 20:30
Here
Assume stocks that closed at lower price,SL =x
Then SH= 1.2x (20% higher than SL)
Now SH +SL =2420
(No stock was at the same price as before,given in question stem)
So x=110
So SH= 1.2×110=1320

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Re: Yesterday's closing prices of 2,420 different stocks... (PS)  [#permalink]

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New post 18 Mar 2017, 21:29
Yesterday’s closing prices of all stocks were different from today’s closing prices.
Therefore, all stocks were closed either at higher price or lower price and none closed at the same price.

Now suppose, stocks closed at lower price = 100x;
Then, stocks closed at higher price = 120x;

So, 100x + 120x = 2420
=>220x = 2420
=>x = 2420/220 = 11.

So, stocks closed at higher price = 120x = 120*11 = 1320.

Answer D.
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Re: Yesterday's closing prices of 2,420 different stocks listed  [#permalink]

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New post 15 Apr 2017, 23:56
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


My 2 cents.

Initially, I could not set up an equation so I tried backsolving.
I chose C first.
If 1,100 is the higher price, then the lower price is 1,320. This is clearly wrong as we need higher price to be bigger than lower price by 20%.

D.
If 1,320 is the higher price, then the lower price is 1,100. 20% higher than 1,100, should be 1,320. So this is the answer.
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Re: Yesterday's closing prices of 2,420 different stocks listed  [#permalink]

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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]

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New post 28 Apr 2017, 05:58
2
SISDIT wrote:
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.


If X is 20% greater than Y, it is not the same as Y is 20% less than X.
Note that the base is different in the two cases.

When you say "X is 20% greater than Y", the base is Y
X = Y + 20% of Y
X is 20% greater than Y
Say Y = 100
X = 100 + 20% of 100 = 120

When you say Y is 20% less than X, the base is X
Y = X - 20% of X
Y is 20% less than X
Say Y = 100
100 = X - 20% of X
100 = 0.8X
X = 125

Note that the value of X in the two cases is different.
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Re: Yesterday's closing prices of 2,420 different stocks listed  [#permalink]

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New post 19 Jul 2017, 04:50
Here the Question uses an SC Concept Ellipsis.The Ellipsed Noun Phrase is"today than yesterday".Read the Question as follows:
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 of stocks that closed at a lower price today than yesterday. How many of the stocks closed at a higher price today than yesterday?

Soln: Let 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. Given, the total number of stocks is 2,420, then x+1.2x=2,420 >> x=1,100, so 1.2x=1,320.

Answer: D.
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Re: Yesterday's closing prices of 2,420 different stocks listed  [#permalink]

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New post 29 Jul 2017, 03:32
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.
Hello Bunuel ! :) how about approach#3 :)
i expressed so: 2420-y+20%(2420-y) where 2420-y is stocks that have a lower price and 20%(2420-y) is +20 % more . can you please say whats wrong is with my solution ?:)
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Re: Yesterday's closing prices of 2,420 different stocks listed  [#permalink]

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New post 29 Aug 2017, 03:45
I have confused here
for example consider there are total 100 stocks. Then 20% of the stocked closed higher than the lower means
there should be 60 stocks closed higher today and 40 stocks closed lower.
The in 2420*60/100 = 1552 stocks right?

Can anybody explain me what is wrong with this approach?
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Re: Yesterday's closing prices of 2,420 different stocks listed  [#permalink]

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New post 28 Feb 2019, 12:41
Bunuel wrote:
bytatia wrote:
I'm having a huge problem understanding the solution for some reason. I do not understand why 1.2x+x=2420

So there are 2 420 stocks. Yesterday X were sold at lower price and Y and higher price.

So today I know that stocks sold at a higher price are 20 percent more than stocks sold at a lower price yesterday. Which would indeed give me 1.2X but! Don't I need to have another unknown? 1.2X + z = 2 420. as Z would represent number of stocks sold at higher price today. So I do not see why we get 1.2x + x as we did not use X for today's number of stocks sold at lower price.

I must be missing the important point. If someone could explain I'd be very thankful.


There are total of 2,420 stocks, out of them the number of stocks that closed at a higher price than yesterday was 20% greater than number that closed at lower price.

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

Hope it's clear.


What I don't understand here is: the problem says "Yesterday’s closing prices of 2,420 different stocks.." So the 2,420 stocks are from yesterday. How can we consider x+1.2x (TODAY) = 2,420 (YESTERDAY)?
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Re: Yesterday's closing prices of 2,420 different stocks listed  [#permalink]

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New post 06 Apr 2019, 03:52
In order to solve this problem,
Step 1: We need to calculate 6% of the amount budgeted for the various accounts.
For Finding 6% the easiest method is to find 1% of each amount or do 1/100 for each account and then multiply by 6 i.e.
Payroll - 1100X6 =6600
Taxes - 400X6=2400
Insurance - 25X6=150

Step 2: The range of the various departments are
Payroll - 103400 to 116000
Taxes - 37600 to 42400
Insurance - 2350 to 2650

From the values given in the question stem for the amount spent,
Payroll and Insurance have values outside the range. Hence Option D is our answer.
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Re: Yesterday's closing prices of 2,420 different stocks listed  [#permalink]

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New post 18 Jun 2019, 08:35
Let High Price be HP and Lower price be LP.

Then,

Equation 1 - HP + LP = 2420
Equation 2 - HP=1.2 LP

By Solving

HP(1+5/6) = 2420
HP = 220*6
HP = 1320
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Re: Yesterday's closing prices of 2,420 different stocks listed  [#permalink]

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New post 23 Jun 2019, 00:03
Bunuel wrote:
bytatia wrote:
I'm having a huge problem understanding the solution for some reason. I do not understand why 1.2x+x=2420

So there are 2 420 stocks. Yesterday X were sold at lower price and Y and higher price.

So today I know that stocks sold at a higher price are 20 percent more than stocks sold at a lower price yesterday. Which would indeed give me 1.2X but! Don't I need to have another unknown? 1.2X + z = 2 420. as Z would represent number of stocks sold at higher price today. So I do not see why we get 1.2x + x as we did not use X for today's number of stocks sold at lower price.

I must be missing the important point. If someone could explain I'd be very thankful.


There are total of 2,420 stocks, out of them the number of stocks that closed at a higher price than yesterday was 20% greater than number that closed at lower price.

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

Hope it's clear.


Hi,

I am confused with the statement- "There are total of 2,420 stocks, out of them the number of stocks that closed at a higher price than yesterday was 20% greater than number that closed at lower price.


Please help me understand

[color=#0000ff]For eg: if we assume following value to understand question.How can we add 120+100 and get 230.Todays' low price will change right if todays high price stock no has increased.

High Price Low Price Total
yest 130 100 230
Today 120

[/color]
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Re: Yesterday's closing prices of 2,420 different stocks listed   [#permalink] 23 Jun 2019, 00:03

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