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A stores sells Brand A items and Brand B items at 75% and 80

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Carcass
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A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   29 Apr 2019, 01:57
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A stores sells Brand A items and Brand B items at 75% and 80%, respectively, off list prices. During festival season, discounts of 20% and 25%, on Brand A and Brand B, respectively, are offered. Spinach tins of Brand A and Brand B have the same list price.

Quantity A
Quantity B
Cost of spinach tins of Brand A during festival season
Cost of spinach tins of Brand B during festival season


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.
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C
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GreenlightTestPrep
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   24 Jul 2019, 07:58
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Carcass wrote:
A stores sells Brand A items and Brand B items at 75% and 80%, respectively, off list prices. During festival season, discounts of 20% and 25%, on Brand A and Brand B, respectively, are offered. Spinach tins of Brand A and Brand B have the same list price.

Quantity A
Quantity B
Cost of spinach tins of Brand A during festival season
Cost of spinach tins of Brand B during festival season



GIVEN: A stores sells Brand A items and Brand B items at 75% and 80%, respectively, off list prices. During festival season, discounts of 20% and 25%, on Brand A and Brand B, respectively, are offered. Spinach tins of Brand A and Brand B have the same list price.

Since spinach tins of Brand A and Brand B have the same LIST price, we can...
Let X = the LIST price of Brand A spinach
Let X = the LIST price of Brand B spinach

KEY CONCEPT: If an item has an x percent DECREASE in price, then the new price is (100 - x) percent of the original price.
For example, if we reduce the price by 20%, then the new price is 80% of the original price.
If we reduce the price by 40%, then the new price is 60% of the original price.
If we reduce the price by 75%, then the new price is 25% of the original price.


After Brand A has a 75% decrease, the resulting price = 25% of X = 0.25X
After that, Brand A has a 20% decrease. So, the FESTIVAL SEASON price = 80% of 0.25X = (0.8)(0.25X) = 0.20X

After Brand B has an 80% decrease, the resulting price = 20% of X = 0.20X
After that, Brand B has a 25% decrease. So, the FESTIVAL SEASON price = 75% of 0.20X = (0.75)(0.20X) = 0.15X

We get:
Quantity A: 0.20X
Quantity B: 0.15X

Since X is POSITIVE, we can divide both quantities by X to get:
Quantity A: 0.20
Quantity B: 0.15

Answer: A

Cheers,
Brent
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LT2018
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   02 May 2019, 12:37
Is the OA correct?
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   03 May 2019, 01:25
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yes Sir

I double checked out.

Where is your doubt?
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   23 Jul 2019, 07:09
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Information given : Spinach tins of Brand A and Brand B have the same list price. Let the list price be X
During festival season:
Quantity A: X - 0.75*0.20*x = X - 0.15x = 0.85X
Quantity B:X - 0.80*0.25*x = X - 0.2X = 0.80X
Quantity A should be greater.

Could you please clarify me why the answer is C.
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   23 Jul 2019, 07:27
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Spinach tins of Brand A and Brand B have the same list price.

Suppose is 100

After the first off

\(A= 75\)

\(B=80\)

After the second

\(75 \times 0.8 = 60\)

\(80 \times 0.75= 60\)

C is the answer
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   24 Jul 2019, 08:01
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Carcass wrote:
Spinach tins of Brand A and Brand B have the same list price.

Suppose is 100

After the first off

\(A= 75\)

\(B=80\)

After the second

\(75 \times 0.8 = 60\)

\(80 \times 0.75= 60\)

C is the answer


A stores sells Brand A items and Brand B items at 75% and 80%, respectively, off list prices. During festival season, discounts of 20% and 25%, on Brand A and Brand B, respectively, are offered. Spinach tins of Brand A and Brand B have the same list price.

Did you mean to write off list prices or OF list prices?
If it's OF, then your solution is correct.
If it's OFF, then my solution is correct.
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   24 Jul 2019, 09:02
I got stuck up with the word 'OFF.
As the question says: Item A sells at 75% OFF list price, I , thus, write 100 ( Say, list price )-75=25 . And again , during festival ,there is a 20% discount . So, .8*25=20

But the math has been done as if the stem say, " Item A sells at 75% the list price, i.e. if the List price =100, then item sells at 75.
Now, my observation is that- is the word OFF correct with the question, or it should be OF ( Instead of OFF)?
Need help.
Sincere regards,
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   12 Sep 2019, 12:22
GreenlightTestPrep wrote:
Carcass wrote:
A stores sells Brand A items and Brand B items at 75% and 80%, respectively, off list prices. During festival season, discounts of 20% and 25%, on Brand A and Brand B, respectively, are offered. Spinach tins of Brand A and Brand B have the same list price.

Quantity A
Quantity B
Cost of spinach tins of Brand A during festival season
Cost of spinach tins of Brand B during festival season



GIVEN: A stores sells Brand A items and Brand B items at 75% and 80%, respectively, off list prices. During festival season, discounts of 20% and 25%, on Brand A and Brand B, respectively, are offered. Spinach tins of Brand A and Brand B have the same list price.

Since spinach tins of Brand A and Brand B have the same LIST price, we can...
Let X = the LIST price of Brand A spinach
Let X = the LIST price of Brand B spinach

KEY CONCEPT: If an item has an x percent DECREASE in price, then the new price is (100 - x) percent of the original price.
For example, if we reduce the price by 20%, then the new price is 80% of the original price.
If we reduce the price by 40%, then the new price is 60% of the original price.
If we reduce the price by 75%, then the new price is 25% of the original price.


After Brand A has a 75% decrease, the resulting price = 25% of X = 0.25X
After that, Brand A has a 20% decrease. So, the FESTIVAL SEASON price = 80% of 0.25X = (0.8)(0.25X) = 0.20X

After Brand B has an 80% decrease, the resulting price = 20% of X = 0.20X
After that, Brand B has a 25% decrease. So, the FESTIVAL SEASON price = 75% of 0.20X = (0.75)(0.20X) = 0.15X

We get:
Quantity A: 0.20X
Quantity B: 0.15X

Since X is POSITIVE, we can divide both quantities by X to get:
Quantity A: 0.20
Quantity B: 0.15

Answer: A

Cheers,
Brent



A is my answer and this is exactly my solution too.
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Krikri9
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   09 Dec 2020, 06:17
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Thank you for writing your solutions, I admit that at first I got a different answer and I couldn't understand where I made a mistake.
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Answer is b? [#permalink] New post   07 Jan 2021, 16:12
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Consecutive Decrease of the Prices

-75+(-20)+(-75)(-20)/100= 80% discount
-80+(-25)+(-80)(-25)/100= 85% discount

If each is worth $10 then:

10(1-.8)= 2.0 for A
10(1-.85)=1.5 for B

A is greater
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   23 Oct 2021, 02:47
Can someone pls confirm what is the correct ans ? Is it A or C?

75% ,OFF the list price means 0.25x or 0.75x?
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A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   23 Oct 2021, 03:51
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I triple check...quadruple check...the answer is C

Reading the stem the items are sold at 75 and 80 % respectively. That means, suppose the starting price is 100, they cost 75 and 80 dollars

Applying the discount the result is 60 dollars for both and the answer should be C

The stem tell us that the price is auctioned at 75% of the original so the off is 25%. NOT it is off 75% and the resulting price is 25. It is the other way around.
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Re: A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   23 Oct 2021, 04:00
So 75% off the list price means off is 25% ??

list price is x and then reduce 25% of x = 0.75 x

then reduce 0.15x from that 0.75x to get cost = 0.60x

What does 0.75x represent? is it the sale price discounted/ final price? and from that we reduce the festive discount to get the final cost?
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A stores sells Brand A items and Brand B items at 75% and 80 [#permalink] New post   13 Aug 2022, 16:10
Carcass wrote:
I triple check...quadruple check...the answer is C

Reading the stem the items are sold at 75 and 80 % respectively. That means, suppose the starting price is 100, they cost 75 and 80 dollars

Applying the discount the result is 60 dollars for both and the answer should be C

The stem tell us that the price is auctioned at 75% of the original so the off is 25%. NOT it is off 75% and the resulting price is 25. It is the other way around.


I am not an English speaker, but 75% off means a cut of 75% haha
Imagine one eager to spend his/her savings, especially because of a 75% OFF super-sale... but then when one gets there, in fact, it is 25% OFF promotion in disguise 😆


P.S
Apple Dictionary definition:
off | ôf, äf |
3 so as to be removed or separated from: threatening to tear it off its hinges | they are knocking $2,000 off the price |
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