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

 It is currently 24 Jan 2019, 00:54

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

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

Events & Promotions

Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• Key Strategies to Master GMAT SC

January 26, 2019

January 26, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
• Free GMAT Number Properties Webinar

January 27, 2019

January 27, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.

M16-06

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52442

Show Tags

15 Sep 2014, 23:58
1
2
00:00

Difficulty:

25% (medium)

Question Stats:

82% (01:17) correct 18% (02:09) wrong based on 84 sessions

HideShow timer Statistics

Project A requires $2000 of investment and promises a return of $$x$$% per year. Project B requires$3000 of investment and promises a return of $$y$$% per year. If the yearly return from project B is 50% greater than that from project A, what is $$x^2 - y^2$$ ?

A. 0
B. 1
C. 5
D. 10
E. 15

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 52442

Show Tags

15 Sep 2014, 23:58
1
Official Solution:

Project A requires $2000 of investment and promises a return of $$x$$% per year. Project B requires$3000 of investment and promises a return of $$y$$% per year. If the yearly return from project B is 50% greater than that from project A, what is $$x^2 - y^2$$ ?

A. 0
B. 1
C. 5
D. 10
E. 15

It follows from the stem that $$2000*\frac{x}{100}*1.5 = 3000*\frac{y}{100}$$. From here $$x = y$$ and therefore $$x^2 - y^2 = 0$$.

_________________
Intern
Joined: 23 Dec 2011
Posts: 34

Show Tags

08 Feb 2017, 21:59
Profit from project B = 30y , Profit from project A = 20x

30y=20x*1.5
=> (x-y) = 0

x^2-y^2 = (x+y) (x-y) = 0
Intern
Joined: 25 Dec 2015
Posts: 4

Show Tags

13 Jan 2018, 13:46
I am sorry but it is little confusing, Project B give 50 % higher returns than Project A. so Y = 1.5 and X=1. let’s say x= 100% and Y= 150% than how come X^2-Y^2= 0? Apology in advances if I asked very dumb question.
Math Expert
Joined: 02 Sep 2009
Posts: 52442

Show Tags

13 Jan 2018, 14:48
1
sunny012 wrote:
I am sorry but it is little confusing, Project B give 50 % higher returns than Project A. so Y = 1.5 and X=1. let’s say x= 100% and Y= 150% than how come X^2-Y^2= 0? Apology in advances if I asked very dumb question.

The yearly return from project B is 50% greater than that from project A, does not mean that y = 1.5x, it means that the amount earned from project B is 50% greater than that from project A, so $$2000*\frac{x}{100}*1.5 = 3000*\frac{y}{100}$$.
_________________
Re: M16-06 &nbs [#permalink] 13 Jan 2018, 14:48
Display posts from previous: Sort by

M16-06

Moderators: chetan2u, Bunuel

 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®.