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# If 25 percent of p is equal to 10 percent of q, and pq#0, th

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If 25 percent of p is equal to 10 percent of q, and pq#0, th  [#permalink]

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07 Mar 2014, 04:44
1
4
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5% (low)

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90% (01:04) correct 10% (01:23) wrong based on 505 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

If 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ?

(A) 2.5%
(B) 15%
(C) 20%
(D) 35%
(E) 40%

Problem Solving
Question: 138
Category: Arithmetic; Algebra Percents; Applied problems
Page: 80
Difficulty: 500

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Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th  [#permalink]

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07 Mar 2014, 05:29
1
p/4 = q/10
p = 0.4q (40%)

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Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th  [#permalink]

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07 Mar 2014, 12:48
1
0.25p = 0.1q =>p = 0.4q =>p = 40%q
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Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th  [#permalink]

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07 Mar 2014, 17:28
1
Option E.
p/4=q/10
P/q=4/10
Or 40%

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Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th  [#permalink]

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07 Mar 2014, 04:44
SOLUTION

If 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ?

(A) 2.5%
(B) 15%
(C) 20%
(D) 35%
(E) 40%

$$0.25p=0.1q$$;

$$p=\frac{0.1}{0.25}q$$;

$$p=0.4q$$.

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Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th  [#permalink]

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16 Jun 2018, 10:14
Quote:

If 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ?

(A) 2.5%
(B) 15%
(C) 20%
(D) 35%
(E) 40%

We can create the equation;

0.25p = 0.1q

25p = 10q

p/q = 10/25 = 2/5 = 40%.

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Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th  [#permalink]

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05 Aug 2018, 20:40
Hi chetan2u,
In the question "If 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ?" what is the role that "pq#0" plays. How does this information help/impact question.

Probus
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Probus

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Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th  [#permalink]

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05 Aug 2018, 22:52
Probus wrote:
Hi chetan2u,
In the question "If 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ?" what is the role that "pq#0" plays. How does this information help/impact question.

Probus

hi probus,

say any one was 0, would have meant other is 0..
25% of p = 10% of q..
25% of 0 = 10% of 0
0=0....totally valid but doesnt make sense
as p is what percent of q becomes 0/0...
so pq not equal to 0 tells us that BOTH are different number and NOT 0
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Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th  [#permalink]

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06 Aug 2018, 08:09
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

If 25 percent of p is equal to 10 percent of q, and pq#0, then p is what percent of q ?

(A) 2.5%
(B) 15%
(C) 20%
(D) 35%
(E) 40%

$$\frac{p}{4} = \frac{q}{10} = 20$$(Say)

So, $$p = 80$$ & $$q = 200$$

Thus, p in terms of q is $$\frac{80}{200}*100 = 40$$% , Answer must be (E)
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Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th  [#permalink]

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28 Aug 2019, 04:45
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Re: If 25 percent of p is equal to 10 percent of q, and pq#0, th   [#permalink] 28 Aug 2019, 04:45
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