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

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A number x is 32% of a number y. If y is 20% of z, what is z [#permalink]  18 Jul 2018, 17:08
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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. $$\frac{x}{0.64}$$

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[Reveal] Spoiler: OA

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

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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]  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
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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

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# Jeffrey Miller

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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
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

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Diana

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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
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