GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 16 Dec 2018, 09:39

Close

GMAT 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 GMAT 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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Prep Hour

     December 16, 2018

     December 16, 2018

     03:00 PM EST

     04:00 PM EST

    Strategies and techniques for approaching featured GMAT topics
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

A customer buys two products, X and Y, and spends a total of $350

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
User avatar
G
Joined: 25 Sep 2018
Posts: 121
Location: United States (CA)
Concentration: Finance, Strategy
GMAT 1: 640 Q47 V30
GPA: 3.97
WE: Investment Banking (Investment Banking)
CAT Tests
A customer buys two products, X and Y, and spends a total of $350  [#permalink]

Show Tags

New post 08 Oct 2018, 11:22
2
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

91% (01:37) correct 9% (04:08) wrong based on 43 sessions

HideShow timer Statistics

A customer buys two products, X and Y, and spends a total of $350. Both products come with rebate coupons. The rebate on the price of product X is 15 percent, and the rebate on the price of product Y is 10 percent. If x and y are the prices of products X and Y, respectively, before the rebate and the total rebate earned by the customer was $45, how much did each product cost?
A) x = $200, y = $150
B)x= $130, y = $220
C) x= $140, y = $210
D x = $300, y = $50
E)x = $175, y = $175

_________________

Why do we fall?...So we can learn to pick ourselves up again



If you like the post, give it a KUDOS!

Director
Director
avatar
G
Joined: 19 Oct 2013
Posts: 509
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
GMAT ToolKit User CAT Tests
Re: A customer buys two products, X and Y, and spends a total of $350  [#permalink]

Show Tags

New post 08 Oct 2018, 14:05
Abhi077 wrote:
A customer buys two products, X and Y, and spends a total of $350. Both products come with rebate coupons. The rebate on the price of product X is 15 percent, and the rebate on the price of product Y is 10 percent. If x and y are the prices of products X and Y, respectively, before the rebate and the total rebate earned by the customer was $45, how much did each product cost?
A) x = $200, y = $150
B)x= $130, y = $220
C) x= $140, y = $210
D x = $300, y = $50
E)x = $175, y = $175


x*(15/100) + y (10/100) = 45

15x + 10y = 4,500 (1)

x + y = 350
10x + 10y = 3,500 (2)

(1) - (2)
5x = 1,000
x = 200

Only answer A has x as 200.



You can do it as back solving also

200*(15/100) = 30
150*(10/100) = 15

30 + 15 = 45

Posted from my mobile device
Director
Director
User avatar
D
Joined: 27 May 2012
Posts: 633
Premium Member
Re: A customer buys two products, X and Y, and spends a total of $350  [#permalink]

Show Tags

New post 10 Nov 2018, 05:33
Salsanousi wrote:
Abhi077 wrote:
A customer buys two products, X and Y, and spends a total of $350. Both products come with rebate coupons. The rebate on the price of product X is 15 percent, and the rebate on the price of product Y is 10 percent. If x and y are the prices of products X and Y, respectively, before the rebate and the total rebate earned by the customer was $45, how much did each product cost?
A) x = $200, y = $150
B)x= $130, y = $220
C) x= $140, y = $210
D x = $300, y = $50
E)x = $175, y = $175


x*(15/100) + y (10/100) = 45

15x + 10y = 4,500 (1)

x + y = 350
10x + 10y = 3,500 (2)

(1) - (2)
5x = 1,000
x = 200

Only answer A has x as 200.



You can do it as back solving also

200*(15/100) = 30
150*(10/100) = 15

30 + 15 = 45

Posted from my mobile device


Hi Salsanousi,

if x and y are the prices of the two products before the rebate , then shouldn't x + y = 395 ?
because total rebate is 45 and after the rebate 350 was paid .

and .85x + .90y= 350 ( This should be the price after the rebate IMO)
_________________

- Stne

Intern
Intern
avatar
B
Joined: 04 Nov 2017
Posts: 10
Re: A customer buys two products, X and Y, and spends a total of $350  [#permalink]

Show Tags

New post 24 Nov 2018, 13:49
I think this question is wrong, the value 350 in the question should have been 305

It should be like this instead.

0.85x + 0.9y = 305

and

0.15x + 0.9y = 45

solving the two equations will give us

x = 200 and y = 150
GMAT Club Bot
Re: A customer buys two products, X and Y, and spends a total of $350 &nbs [#permalink] 24 Nov 2018, 13:49
Display posts from previous: Sort by

A customer buys two products, X and Y, and spends a total of $350

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.