Last visit was: 21 Nov 2024, 19:27 It is currently 21 Nov 2024, 19:27
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

The sum of the pre-tax costs of Item A and Item B is $300.

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

avatar
Bunuel
Senior Manager
Senior Manager
Joined: 20 May 2014
Posts: 285
Own Kudos [?]: 702 [10]
Given Kudos: 225
The sum of the pre-tax costs of Item A and Item B is $300. [#permalink] New post   04 Dec 2017, 05:07
10
Bookmarks
00:00

Question Stats:

56% (03:02) correct 43% (03:52) wrong based on 16 sessions

Hide Show timer Statistics

The sum of the pre-tax costs of Item A and Item B is $300. In Alumba, each item would be charged a fat 7%. In Aplandia, Item A is subject to 5% tax and Item B is subject to 10% tax. If the tax in Aplandia on the purchase of both items is exactly $3 more than it is in Alumba, then what is the pre-tax price of Item A?


Show: :: OA
120


Kudos for correct solution.
avatar
pranab223
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2273 [2]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM

Top Member of the Month
Re: The sum of the pre-tax costs of Item A and Item B is $300. [#permalink] New post   04 Dec 2017, 13:50
1
1
Bookmarks
Bunuel wrote:
The sum of the pre-tax costs of Item A and Item B is $300. In Alumba, each item would be charged a fat 7%. In Aplandia, Item A is subject to 5% tax and Item B is subject to 10% tax. If the tax in Aplandia on the purchase of both items is exactly $3 more than it is in Alumba, then what is the pre-tax price of Item A?


Show: :: OA
120




Here for Alumba = 7% of (A+B) = 7% (300) =21

and for Aplandia it is $3 more i.e = 21 + 3 = 24

Now as per ques -

In Aplandia
0.05 A + 0.1 B = 24

or 0.05A + 0.1 (300 - A) =24 (Since , A+B = 300)

or 0.05A = 6

or A = 120, which is the pre tax value
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30003
Own Kudos [?]: 36341 [3]
Given Kudos: 25927
Send PM
The sum of the pre-tax costs of Item A and Item B is $ 300. [#permalink] New post   23 Nov 2018, 05:38
Expert Reply
3
Bookmarks
The sum of the pre-tax costs of Item A and Item B is $ 300. In Alumba, each item would be charged a flat 7%. In Aplandia, Item A is subject to 5% tax and Item B is subject to 10% tax. If the tax in Aplandia on the purchase of both items is exactly $ 3 more than it is in Alumba, then what is the pre-tax price of Item A?

Show: :: OA
120
User avatar
HappyMathtutor
Manager
Manager
Joined: 01 Nov 2018
Posts: 87
Own Kudos [?]: 144 [2]
Given Kudos: 0
Send PM
Re: The sum of the pre-tax costs of Item A and Item B is $ 300. [#permalink] New post   20 Dec 2018, 23:36
2
Expert Reply
Think about this, in Alumba, there is a flat tax on item A and B
so
A+B=300 without tax, but with tax in Alumba,
1.07(A+B)=1.07*300=$321

in Aplandia, Item A gets a 5% tax and item B gets a 10% tax

1.05A +1.10B=?

the tax in Aplandia adds to 3 dollars more than in Alumba

1.05A + 1.10B= $321+$3 =324

Make a system of equations.

1.05A+1.10B=324
A + B=300

get rid of B to find A

1.05A +1.10B =324
1.10(A+B) =1.10(300)

1.05A + 1.10B= 324
1.10A + 1.10B= 330

subtract top and bottom
.05A= 6
A=120
avatar
nishthajain1611
Intern
Intern
Joined: 21 Dec 2018
Posts: 20
Own Kudos [?]: 8 [0]
Given Kudos: 0
Send PM
Re: The sum of the pre-tax costs of Item A and Item B is $ 300. [#permalink] New post   21 Dec 2018, 09:52
1
the key point here is to note that its the sum of the items A and B that is provided, not the price of them
avatar
jelal123
Manager
Manager
Joined: 08 Dec 2018
Posts: 94
Own Kudos [?]: 70 [0]
Given Kudos: 0
Send PM
Re: The sum of the pre-tax costs of Item A and Item B is $ 300. [#permalink] New post   26 Jul 2019, 09:03
We can do the math just by the GAP of the tax amount-
Say, A's price =x, So, B=(300-x).
Now, .05(x)+.1(300-x) -21=3.
So, .05x+30-.1x=21+3.
-.05x=24-30=-6
so, x= -6/-.05
x=120 ( the price of A).
avatar
logann2
Manager
Manager
Joined: 22 Aug 2019
Posts: 96
Own Kudos [?]: 85 [0]
Given Kudos: 0
Send PM
Re: The sum of the pre-tax costs of Item A and Item B is $ 300. [#permalink] New post   11 Sep 2019, 07:46
Carcass wrote:
The sum of the pre-tax costs of Item A and Item B is $ 300. In Alumba, each item would be charged a flat 7%. In Aplandia, Item A is subject to 5% tax and Item B is subject to 10% tax. If the tax in Aplandia on the purchase of both items is exactly $ 3 more than it is in Alumba, then what is the pre-tax price of Item A?

Show: :: OA
120


Write out what we know mathematically:

PreTax: A + B = 300
Alumba: (A+B)1.07 = x
Aplandia: A(1.05) + B(1.10) = y

y - a = 3

What is A?
---------------
How to solve:
(300)*1.07 = 321 = x
so y = 3 + 321 = 324
plug into Aplandia and solve for B.
(324 - A*1.05)/1.10 = B
substitue into the PreTax
A + (324- A*1.05)/1.10 = 300
A(1.10) + 324 - A(1.05) = 330
A*0.05 = 6
A * (1/20) = 6
A = 120.
User avatar
bumpbot
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5030
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: The sum of the pre-tax costs of Item A and Item B is $300. [#permalink] New post   15 Sep 2024, 22:01
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
gmatclubot
Re: The sum of the pre-tax costs of Item A and Item B is $300. [#permalink]
15 Sep 2024, 22:01
Moderators:
adewale223
GRE Instructor
84 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact