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

 It is currently 20 Nov 2018, 15:53

### 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 November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Free lesson on number properties

November 23, 2018

November 23, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

# If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50711
If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

### Show Tags

24 Aug 2018, 00:02
00:00

Difficulty:

5% (low)

Question Stats:

100% (01:00) correct 0% (00:00) wrong based on 31 sessions

### HideShow timer Statistics

If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

A. 1/16
B. 3/20
C. 3/16
D. 1/4
E. 3/8

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7039
Re: If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

### Show Tags

24 Aug 2018, 00:06
Bunuel wrote:
If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

A. 1/16
B. 3/20
C. 3/16
D. 1/4
E. 3/8

175% of 8x = $$\frac{175*8x}{100}=14x=2x+3y.......12x=3y.......4x=y$$
So $$\frac{x}{y}=\frac{1}{4}$$

D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 930
WE: Supply Chain Management (Energy and Utilities)
Re: If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

### Show Tags

24 Aug 2018, 00:08
Bunuel wrote:
If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

A. 1/16
B. 3/20
C. 3/16
D. 1/4
E. 3/8

2x+3y=1.75*8x
Or, 2x+3y=14x
Or, 12x=3y
Or, x/y=3/12=1/4

Ans. (D)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Director
Joined: 31 Oct 2013
Posts: 794
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

### Show Tags

24 Aug 2018, 00:47
Bunuel wrote:
If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

A. 1/16
B. 3/20
C. 3/16
D. 1/4
E. 3/8

Given,

2x + 3y = 175% of 8x

2x + 3y = 1.75 * 8x

2x + 3y = 14x

3y = 12x

$$\frac{x}{y}$$ = $$\frac{3}{12}$$
$$\frac{x}{y}$$=$$\frac{1}{4}$$

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4230
Location: India
GPA: 3.5
Re: If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

### Show Tags

24 Aug 2018, 07:34
Bunuel wrote:
If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =

A. 1/16
B. 3/20
C. 3/16
D. 1/4
E. 3/8

$$\frac{175}{100} = \frac{35}{20} = \frac{7}{4}$$

Now, $$(2x + 3y) = \frac{7}{4}*8x$$

Or, $$2x + 3y = 14x$$

Or, $$12x =3y$$

Or, $$\frac{x}{y} = \frac{1}{4}$$, Answer must be (D)
_________________

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 )

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2203
Re: If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y =  [#permalink]

### Show Tags

25 Aug 2018, 01:12

Solution

Given:
• 2x + 3y is equal to 175% of 8x, where xy ≠ 0

To find:
• The value of $$\frac{x}{y}$$

Approach and Working:

175% of 8x = (200% - 25%) of 8x = (2 – ¼) of 8x = 16x – 2x = 14x

Therefore, we can rewrite the given condition as,
• 2x + 3y = 14x
Or. 12x = 3y
Or, $$\frac{x}{y} = \frac{3}{12} = \frac{1}{4}$$

Hence, the correct answer is option D.

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Re: If xy ≠ 0 and 2x + 3y is equal to 175 percent of 8x, then x/y = &nbs [#permalink] 25 Aug 2018, 01:12
Display posts from previous: Sort by