It is currently 23 Mar 2019, 21:27

### 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

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

Author Message
TAGS:
Moderator
Joined: 18 Apr 2015
Posts: 5877
Followers: 95

Kudos [?]: 1154 [0], given: 5471

A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]  18 Jul 2018, 17:08
Expert's post
00:00

Question Stats:

64% (00:59) correct 36% (01:39) wrong based on 25 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

_________________
Director
Joined: 20 Apr 2016
Posts: 826
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 603 [1] , given: 124

Re: A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]  18 Jul 2018, 19:47
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 https://greprepclub.com/forum/rules-for ... -1083.html

Manager
Joined: 06 Jun 2018
Posts: 94
Followers: 0

Kudos [?]: 58 [1] , given: 0

Re: A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]  19 Jul 2018, 12:27
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: 4

Kudos [?]: 125 [1] , given: 0

Re: A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]  22 Jul 2018, 17:31
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

_________________

Jeffery Miller

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

Re: A number x is 32% of a number y. If y is 20% of z, what is z   [#permalink] 22 Jul 2018, 17:31
Display posts from previous: Sort by