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# The numbers p and q are both positive. If p percent of 160 equals q pe

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Math Expert
Joined: 02 Sep 2009
Posts: 56257
The numbers p and q are both positive. If p percent of 160 equals q pe  [#permalink]

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21 Aug 2018, 06:21
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Difficulty:

15% (low)

Question Stats:

85% (00:56) correct 15% (00:51) wrong based on 33 sessions

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The numbers p and q are both positive. If p percent of 160 equals q percent of 40, then p/q=

A. Cannot be determined
B. 1/4
C. 2/5
D. 5/2
E. 4

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The numbers p and q are both positive. If p percent of 160 equals q pe  [#permalink]

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21 Aug 2018, 06:48
P percent of 160 = $$\frac{P}{100}$$*160
Q percent of 40 = $$\frac{Q}{100}$$*40

$$\frac{P}{100}$$*160 = $$\frac{Q}{100}$$*40.

Solving gives 4P = Q.

Therefore $$\frac{P}{Q}$$ = $$\frac{1}{4}$$

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Re: The numbers p and q are both positive. If p percent of 160 equals q pe  [#permalink]

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21 Aug 2018, 07:23
Bunuel wrote:
The numbers p and q are both positive. If p percent of 160 equals q percent of 40, then p/q=

A. Cannot be determined
B. 1/4
C. 2/5
D. 5/2
E. 4

$$\frac{p}{100}*160 = \frac{q}{100}*40$$

Or, $$4p = q$$

So, $$\frac{p}{q} = \frac{1}{4}$$, Answer must be (B)
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Re: The numbers p and q are both positive. If p percent of 160 equals q pe  [#permalink]

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21 Aug 2018, 09:07
1.6p=0.4q

$$\frac{p}{q}$$= $$\frac{0.4}{1.6}$$= $$\frac{1}{4}$$

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Re: The numbers p and q are both positive. If p percent of 160 equals q pe  [#permalink]

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21 Aug 2018, 09:11
160*p/100=40*q/100
4p=q
P/q=1/4

Option B

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Re: The numbers p and q are both positive. If p percent of 160 equals q pe   [#permalink] 21 Aug 2018, 09:11
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