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The list price of a certain tool is x dollars. In Store A th

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The list price of a certain tool is x dollars. In Store A th [#permalink] New post 14 Feb 2017, 03:39
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79% (01:18) correct 20% (01:47) wrong based on 67 sessions


The list price of a certain tool is x dollars. In Store A the original selling price of the tool was $50 less than the list price, and the current selling price is 10 percent less than the original selling price. In Store B the original selling price of the tool was 10 percent less than the list price, and the current selling price is $50 less than the original selling price.

Quantity A
Quantity B
The current selling price of the tool in Store A.
The current selling price of the tool in Store B


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The list price of a certain tool is x dollars. In Store A th [#permalink] New post 14 Feb 2017, 15:45
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Explanation


We assume a number a number for x, the list price. When supplying a number for percent questions, assume 100 it makes calculations easier.

List price = x = $100

Now look at Store A:

The original selling price (OSP) was $50 less than the list price (x)

OSP = x − $50
OSP = $100 − $50
OSP = $50

The current selling price (CSP) is 10% less than the original selling price (OSP) CSP = OSP − 10%(OSP)

CSP = $50 − (0.10)($50)

Quanity A: CSP = $50 − $5 = $45

Now look at Store B:

The original selling price (OSP) was 10% less than the list price (x)

OSP = x − 10%(x)

OSP = $100 − (0.10)($100)

OSP = $100 − $10

OSP = $90

The current selling price (CSP) is $50 less than the original selling price (OSP)

CSP = OSP − $50

CSP = $90 − $50

Quantity B CSP = $40

Compare the quantities:

Quantity A: $45
Quantity B: $40

Hence quantity A is greater.
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Re: The list price of a certain tool is x dollars. In Store A th [#permalink] New post 14 Nov 2018, 10:47
Is there any short solution?
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Re: The list price of a certain tool is x dollars. In Store A th [#permalink] New post 14 Nov 2018, 11:48
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Sandy gave an explanation in details. However, the solution does not have any length.

You should go through that proces for a correct solution. In this case hardly I could figure out a shortcut.

To make you more clear what I mean :

sandy

Quote:
Now look at Store A:

The original selling price (OSP) was $50 less than the list price (x)

OSP = x − $50
OSP = $100 − $50
OSP = $50

The current selling price (CSP) is 10% less than the original selling price (OSP) CSP = OSP − 10%(OSP)

CSP = $50 − (0.10)($50)

Quanity A: CSP = $50 − $5 = $45


carcass

the current price is X. Suppose is 100. Then store A sells it for $50 less. So, the price is 50, which is 10% less the original selling price. This means that the price is straight away (thanks to the 10% off) equal to 0.90 (100 -10).

As such, 50*0.9 = 45.

As you can see I am a bit faster but I did the same thing Sandy's does. He just went in more details for clearness. Of course, my process is the result of things that I already do know.

However, Sandy's approach is perfect: reliable and error-proof

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Re: The list price of a certain tool is x dollars. In Store A th [#permalink] New post 05 Apr 2019, 20:32
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AE wrote:
Is there any short solution?



just assume that list price is 100$
and work your way out from store A and store B

before we begin set original price= X since we do not know.
and List price= just set as 100$ so it's easy to calculate.

store A: -> List-$50 -> 100-50= 50$, this 50$ is going to be our original now.. but question saying 10% less of this, so 0.10 x 50= $45
store B: -> 10% less *from* LIST, so -> 0.10 x 100 =$90 is will be our original-> now it says $50 less than orginal price so.. -> $90- $50 = $40.

result= store A ($45) is greater than store B($40)


hit that KUDO if you liked it though. :-D
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Re: The list price of a certain tool is x dollars. In Store A th [#permalink] New post 05 Apr 2019, 22:46
Quite an intresting sum
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Re: The list price of a certain tool is x dollars. In Store A th [#permalink] New post 06 Apr 2019, 07:17
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Carcass wrote:


The list price of a certain tool is x dollars. In Store A the original selling price of the tool was $50 less than the list price, and the current selling price is 10 percent less than the original selling price. In Store B the original selling price of the tool was 10 percent less than the list price, and the current selling price is $50 less than the original selling price.

Quantity A
Quantity B
The current selling price of the tool in Store A.
The current selling price of the tool in Store B





In Store A the original selling price of the tool was $50 less than the list price, and the current selling price is 10 percent less than the original selling price.
ORIGINAL selling price = x - 50
So, CURRENT selling price = 0.9(x - 50) = 0.9x - 45
ASIDE: Taking 10% off a price is the SAME as paying 90% of the price [thus the 0.9 in the above expression]

In Store B the original selling price of the tool was 10 percent less than the list price, and the current selling price is $50 less than the original selling price.
ORIGINAL selling price = 0.9x
So, CURRENT selling price = 0.9(x - 50) = 0.9x - 50

We get:
QUANTITY A: 0.9x - 45
QUANTITY B: 0.9x - 50

Subtract 0.9x from both quantities to get:
QUANTITY A: -45
QUANTITY B: -50

Answer: A

Cheers,
Brent
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Re: The list price of a certain tool is x dollars. In Store A th   [#permalink] 06 Apr 2019, 07:17
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