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

 It is currently 17 Jan 2019, 15:33

### 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
• ### The winning strategy for a high GRE score

January 17, 2019

January 17, 2019

08:00 AM PST

09:00 AM PST

Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
• ### Free GMAT Strategy Webinar

January 19, 2019

January 19, 2019

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# If y≠0 and x/y=3, then (x-y)/x=?

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6810
GMAT 1: 760 Q51 V42
GPA: 3.82
If y≠0 and x/y=3, then (x-y)/x=?  [#permalink]

### Show Tags

15 May 2017, 00:00
1
1
00:00

Difficulty:

5% (low)

Question Stats:

93% (00:43) correct 7% (02:33) wrong based on 46 sessions

### HideShow timer Statistics

If $$y≠0$$ and $$\frac{x}{y}=3$$, then $$\frac{(x-y)}{x}$$=?

A. $$-2$$
B. $$-1$$
C. $$\frac{-2}{3}$$
D. $$\frac{2}{3}$$
E. $$1$$

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior Manager Joined: 29 Mar 2011 Posts: 275 Location: India Concentration: Strategy, Finance GMAT 1: 750 Q50 V40 WE: Management Consulting (Consulting) If y≠0 and x/y=3, then (x-y)/x=? [#permalink] ### Show Tags 15 May 2017, 00:48 1 MathRevolution wrote: If $$y≠0$$ and $$\frac{x}{y}=3$$, then $$\frac{(x-y)}{x}$$=? A. $$-2$$ B. $$-1$$ C. $$\frac{-2}{3}$$ D. $$\frac{2}{3}$$ E. $$1$$ $$\frac{(x-y)}{x}$$=$$\frac{1-y}{x}$$=$$\frac{1-1}{3}$$=$$\frac{2}{3}$$= _________________ +1 kudos if you find this useful GMAT 1: 750 (Q50; V40; IR 8; AWA 5.5) Debrief: https://gmatclub.com/forum/first-attempt-750-q50-v40-ir-8-awa-245721.html Senior SC Moderator Joined: 22 May 2016 Posts: 2339 If y≠0 and x/y=3, then (x-y)/x=? [#permalink] ### Show Tags 16 May 2017, 06:20 MathRevolution wrote: If $$y≠0$$ and $$\frac{x}{y}=3$$, then $$\frac{(x-y)}{x}$$=? A. $$-2$$ B. $$-1$$ C. $$\frac{-2}{3}$$ D. $$\frac{2}{3}$$ E. $$1$$ Method I $$\frac{x}{y}=3$$, multiply both sides by y x = 3y, substitute this value into $$\frac{(x-y)}{x}$$: $$\frac{(3y-y)}{3y}$$ = $$\frac{2y}{3y}$$ = $$\frac{2}{3}$$ Method II $$\frac{x}{y}=3$$ ==> By cross multiplying or reciprocal, $$\frac{y}{x}$$ = $$\frac{1}{3}$$ Then, $$\frac{(x-y)}{x}$$ = $$\frac{x}{x}$$ - $$\frac{y}{x}$$ Simplify: 1 - $$\frac{1}{3}$$ = $$\frac{2}{3}$$ Answer _________________ Never look down on anybody unless you're helping them up. --Jesse Jackson Board of Directors Status: QA & VA Forum Moderator Joined: 11 Jun 2011 Posts: 4330 Location: India GPA: 3.5 WE: Business Development (Commercial Banking) Re: If y≠0 and x/y=3, then (x-y)/x=? [#permalink] ### Show Tags 16 May 2017, 06:32 MathRevolution wrote: If $$y≠0$$ and $$\frac{x}{y}=3$$, then $$\frac{(x-y)}{x}$$=? A. $$-2$$ B. $$-1$$ C. $$\frac{-2}{3}$$ D. $$\frac{2}{3}$$ E. $$1$$ Let $$x = 6$$ and $$y = 2$$ So, $$\frac{x}{y}=3$$ Now, $$\frac{(x-y)}{x}$$ $$= \frac{6 - 2}{6}$$ $$= \frac{4}{6}$$ $$= \frac{2}{3}$$ Thus, answer must be (D) $$\frac{4}{6}$$ _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6810 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: If y≠0 and x/y=3, then (x-y)/x=? [#permalink] ### Show Tags 17 May 2017, 00:33 ==> You get $$\frac{x}{y}=3$$, $$x=3y$$, then $$\frac{(x-y)}{x}=\frac{(3y-y)}{3y}=\frac{2y}{3y}=\frac{2}{3}$$. The answer is D. Answer: D _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Director
Joined: 04 Dec 2015
Posts: 738
Location: India
Concentration: Technology, Strategy
Schools: ISB '19, IIMA , IIMB, XLRI
WE: Information Technology (Consulting)
Re: If y≠0 and x/y=3, then (x-y)/x=?  [#permalink]

### Show Tags

17 May 2017, 02:53
If y≠0 and $$\frac{x}{y}$$ = 3 , then $$\frac{(x-y)}{x}$$
A. −2
B. −1
C. −$$\frac{2}{3}$$
D. $$\frac{2}{3}$$
E. 1

$$\frac{x}{y}$$ = 3 ; x = 3y
$$\frac{(x-y)}{x}$$ [Substitute x = 3y]
$$\frac{3y - y}{3y}$$ = $$\frac{2y}{3y}$$ = $$\frac{2}{3}$$

_________________
Kindly press "+1 Kudos" to appreciate
Re: If y≠0 and x/y=3, then (x-y)/x=? &nbs [#permalink] 17 May 2017, 02:53
Display posts from previous: Sort by