 It is currently 24 Oct 2020, 10:10 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # A number x is 32% of a number y. If y is 20% of z, what is z  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Founder  Joined: 18 Apr 2015
Posts: 13671
Followers: 305

Kudos [?]: 3525 , given: 12607

A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]
Expert's post 00:00

Question Stats: 68% (01:11) correct 32% (01:59) wrong based on 75 sessions
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. $$\frac{x}{0.64}$$

Kudos for R.A.E
[Reveal] Spoiler: OA

_________________

Do you want all the GRE Prep Club resources at a glance (sort of ) ?? Look at GRE Prep Club Official LinkTree page

Do you want all the GRE Prep Club FREE resources in one spot ?? Look at Free GRE Materials - Where to get it!! (2020]

Do you want to know the GRE score in the Top 25 BS in 7 continents ?? Look at here The GRE average score at Top 25 Business Schools 2020 Ed.

Need Practice 20 Free GRE Quant Tests available for free with 20 Kudos

GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. VP Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1329  , given: 251

Re: A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]
1
KUDOS
Carcass 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. $$\frac{x}{0.64}$$

Kudos for R.A.E

Here x =32% of y = 0.32y

and $$y = 0.2z$$

or $$0.32y = 0.32 * 0.2z$$

or $$x = 0.064z$$

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

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting

Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests Manager  Joined: 06 Jun 2018
Posts: 94
Followers: 2

Kudos [?]: 80  , given: 0

Re: A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]
1
KUDOS
Carcass 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. $$\frac{x}{0.64}$$

Kudos for R.A.E

Given

y = 0.2 z

x = 0.32 (0.2z) = 0.064z

So,

x = 0.064z

z = x / 0.064 Target Test Prep Representative Affiliations: Target Test Prep
Joined: 09 May 2016
Posts: 161
Location: United States
Followers: 8

Kudos [?]: 199  , given: 0

Re: A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]
1
KUDOS
Expert's post
Carcass 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. $$\frac{x}{0.64}$$

Kudos for R.A.E

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

_________________

# Jeffrey Miller

Jeff@TargetTestPrep.com

See why Target Test Prep is the top rated GRE quant course on GRE Prep Club. Read Our Reviews Intern Joined: 21 Mar 2019
Posts: 10
Followers: 0

Kudos [?]: 12  , given: 11

Re: A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]
1
KUDOS
x=32/100y and y=20/100z

so

x=(32/100)(20/100)z
x=(32*2/1000)z
x=(64/1000)z

therefore,

z=(1000/64)x
z=(1/64*1000)x

_________________

Diana

If you found this post useful, please let me know by pressing the Kudos Button Re: A number x is 32% of a number y. If y is 20% of z, what is z   [#permalink] 24 Mar 2019, 11:33
Display posts from previous: Sort by

# A number x is 32% of a number y. If y is 20% of z, what is z  Question banks Downloads My Bookmarks Reviews Important topics  Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.