GMAT Changed on April 16th - Read about the latest changes here

 It is currently 25 Apr 2018, 09:00

### 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 June
Open Detailed Calendar

# If x > 1 and a/b = 1 - 1/x, then b/a =

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44655
If x > 1 and a/b = 1 - 1/x, then b/a = [#permalink]

### Show Tags

15 Mar 2018, 22:59
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

88% (00:36) correct 12% (01:13) wrong based on 42 sessions

### HideShow timer Statistics

If $$x > 1$$ and $$\frac{a}{b} = 1 - \frac{1}{x}$$, then $$\frac{b}{a} =$$

A. x

B. x - 1

C. $$\frac{x - 1}{x}$$

D. $$\frac{x}{x - 1}$$

E. $$\frac{1}{x} - 1$$
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 44655
Re: If x > 1 and a/b = 1 - 1/x, then b/a = [#permalink]

### Show Tags

15 Mar 2018, 23:00
Expert's post
1
This post was
BOOKMARKED
Bunuel wrote:
If $$x > 1$$ and $$\frac{a}{b} = 1 - \frac{1}{x}$$, then $$\frac{b}{a} =$$

A. x

B. x - 1

C. $$\frac{x - 1}{x}$$

D. $$\frac{x}{x - 1}$$

E. $$\frac{1}{x} - 1$$

7. Algebra

Check below for more:
ALL YOU NEED FOR QUANT ! ! !
_________________
SVP
Joined: 08 Jul 2010
Posts: 2068
Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: If x > 1 and a/b = 1 - 1/x, then b/a = [#permalink]

### Show Tags

16 Mar 2018, 00:42
Bunuel wrote:
If $$x > 1$$ and $$\frac{a}{b} = 1 - \frac{1}{x}$$, then $$\frac{b}{a} =$$

A. x

B. x - 1

C. $$\frac{x - 1}{x}$$

D. $$\frac{x}{x - 1}$$

E. $$\frac{1}{x} - 1$$

a/b = (x-1)/x

i.e. b/a = x/(x-1)

_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

SC Moderator
Joined: 22 May 2016
Posts: 1569
If x > 1 and a/b = 1 - 1/x, then b/a = [#permalink]

### Show Tags

16 Mar 2018, 06:18
Bunuel wrote:
If $$x > 1$$ and $$\frac{a}{b} = 1 - \frac{1}{x}$$, then $$\frac{b}{a} =$$

A. x

B. x - 1

C. $$\frac{x - 1}{x}$$

D. $$\frac{x}{x - 1}$$

E. $$\frac{1}{x} - 1$$

We are asked for the reciprocal of $$\frac{a}{b}$$.

We can take the reciprocal of RHS only if RHS expression is a single number or a single fraction.

(If fractions are added or subtracted on RHS, find the sum or difference. Then flip the resultant fraction.)
$$\frac{a}{b} = 1 - \frac{1}{x}$$

$$\frac{a}{b} = (\frac{1}{1}*\frac{x}{x}) - (\frac{1}{x}*\frac{x}{x})$$

$$\frac{a}{b} = \frac{x}{x}-\frac{1}{x}$$

$$\frac{a}{b} = \frac{(x-1)}{x}$$

$$\frac{b}{a} = \frac{x}{(x-1)}$$

Or use $$\frac{1}{a}-\frac{1}{b}=\frac{b-a}{ab}$$. From original fractions, use numbers in the denominator. Subtract first number from second number (b-a) for the new numerator. Multiply the numbers (ab) for the new denominator.
_________________

At the still point, there the dance is. -- T.S. Eliot
Formerly genxer123

Senior Manager
Joined: 07 Jul 2012
Posts: 334
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: If x > 1 and a/b = 1 - 1/x, then b/a = [#permalink]

### Show Tags

18 Mar 2018, 04:38
$$\frac{a}{b}$$= 1-$$\frac{1}{x}$$

$$\frac{a}{b}$$= $$\frac{x-1}{x}$$

Inverse the above equation

$$\frac{b}{a}$$=$$\frac{x}{x-1}$$

_________________

Kindly hit kudos if my post helps!

Re: If x > 1 and a/b = 1 - 1/x, then b/a =   [#permalink] 18 Mar 2018, 04:38
Display posts from previous: Sort by