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#### 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
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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: 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. $$\frac{x}{0.64}$$

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Re: A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]
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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 $$z = \frac{x}{0.064}$$
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Re: A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]
1
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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

The best answer is D. Target Test Prep Representative Status: Head GRE Instructor
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Re: A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]
1
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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

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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
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