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

 It is currently 14 Dec 2018, 22:57

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

December 15, 2018

December 15, 2018

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.

# A number x is 32% of a number y. If y is 20% of z, what is z in terms

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51215
A number x is 32% of a number y. If y is 20% of z, what is z in terms  [#permalink]

### Show Tags

19 Jul 2018, 00:40
00:00

Difficulty:

35% (medium)

Question Stats:

78% (01:19) correct 22% (01:29) wrong based on 49 sessions

### HideShow timer Statistics

A number x is 32% of a number y. If y is 20% of z, what is z in terms of x?

A. $$0.064x$$

B. $$0.64x$$

C. $$6.4x$$

D. $$\frac{x}{0.064}$$

E. $$\frac{x}{0.64}$$

_________________
Senior Manager
Joined: 07 Jul 2012
Posts: 377
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Re: A number x is 32% of a number y. If y is 20% of z, what is z in terms  [#permalink]

### Show Tags

19 Jul 2018, 00:48
1
x= 0.32y...........(1)
y= 0.2z............(2)

Put (2) in (1)

x= 0.32*0.2z
x= 0.064z

z= $$\frac{x}{0.064}$$

_________________

Kindly hit kudos if my post helps!

SC Moderator
Joined: 30 Jan 2015
Posts: 667
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Re: A number x is 32% of a number y. If y is 20% of z, what is z in terms  [#permalink]

### Show Tags

19 Jul 2018, 01:04
Bunuel wrote:
A number x is 32% of a number y. If y is 20% of z, what is z in terms of x?

Given,
x = 32% of y
= 0.32y

y = 20% of z
= 0.2z

0.32y = 0.32 * 0.2z
x = 0.064z
z = x / 0.064

Hence, D.
_________________

The few, the fearless !

Thanks

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2309
A number x is 32% of a number y. If y is 20% of z, what is z in terms  [#permalink]

### Show Tags

19 Jul 2018, 01:21

Solution

Given:
• x is 32% of y.
• y is 20% of z

To find:
• z in terms of x.

Approach and Working:

• x=0.32y----------------(1)
• y= 0.2 z------------------(2)
o Hence, by substituting the value of y in equation (1), we get:
 x =0.32*0.2 z
 x= 0.064z or z= $$\frac{x}{0.064}$$

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 | Remainders-1 | Remainders-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

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4277
Location: India
GPA: 3.5
Re: A number x is 32% of a number y. If y is 20% of z, what is z in terms  [#permalink]

### Show Tags

19 Jul 2018, 06:23
Bunuel wrote:
A number x is 32% of a number y. If y is 20% of z, what is z in terms of x?

A. $$0.064x$$

B. $$0.64x$$

C. $$6.4x$$

D. $$\frac{x}{0.064}$$

E. $$\frac{x}{0.64}$$

$$y = \frac{z}{5}$$

$$x = \frac{32}{100}*\frac{z}{5}$$

Or, $$x = 0.064z$$

Or, $$z = \frac{x}{0.064}$$ , 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 )

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4295
Location: United States (CA)
Re: A number x is 32% of a number y. If y is 20% of z, what is z in terms  [#permalink]

### Show Tags

22 Jul 2018, 17:31
Bunuel wrote:
A number x is 32% of a number y. If y is 20% of z, what is z in terms of x?

A. $$0.064x$$

B. $$0.64x$$

C. $$6.4x$$

D. $$\frac{x}{0.064}$$

E. $$\frac{x}{0.64}$$

We can create the equations:

x = 0.32y

x = 32y/100

100x/32 = y

25x/8 = y

and

y = 0.2z

y = z/5

Substituting, we have:

25x/8 = z/5

125x/8 = z

We see that choices A, B, and C will not be correct. To see which choice between D and E is correct, let’s multiply 125x/8 by 8/8:

1000x/64 = x/(64/1000) = x/0.064

So z = x/0.064

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Manager
Joined: 07 Feb 2017
Posts: 188
Re: A number x is 32% of a number y. If y is 20% of z, what is z in terms  [#permalink]

### Show Tags

22 Jul 2018, 17:47
x=.32y
y=.2z

z=y/.2
z=(x/.32)/.2=x/.064
Re: A number x is 32% of a number y. If y is 20% of z, what is z in terms &nbs [#permalink] 22 Jul 2018, 17:47
Display posts from previous: Sort by