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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. The list price of a certain tool is x dollars. In Store A th  Question banks Downloads My Bookmarks Reviews Important topics
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The list price of a certain tool is x dollars. In Store A th [#permalink]
Expert's post 00:00

Question Stats: 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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GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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Re: The list price of a certain tool is x dollars. In Store A th [#permalink]
2
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Expert's post
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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Sandy
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Re: The list price of a certain tool is x dollars. In Store A th [#permalink]
Is there any short solution? Founder  Joined: 18 Apr 2015
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Re: The list price of a certain tool is x dollars. In Store A th [#permalink]
1
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Expert's post
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

Regards
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Re: The list price of a certain tool is x dollars. In Store A th [#permalink]
1
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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. Intern Joined: 28 Mar 2019
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Re: The list price of a certain tool is x dollars. In Store A th [#permalink]
Quite an intresting sum
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Re: The list price of a certain tool is x dollars. In Store A th [#permalink]
Expert's post
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

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com  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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