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If 25% of p equals 65% of 80 and if q is 50% of p, which of the follow

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If 25% of p equals 65% of 80 and if q is 50% of p, which of the follow  [#permalink]

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New post 08 Feb 2019, 05:14
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

55% (02:04) correct 45% (02:02) wrong based on 20 sessions

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Re: If 25% of p equals 65% of 80 and if q is 50% of p, which of the follow  [#permalink]

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New post 08 Feb 2019, 05:38
Bunuel wrote:
If 25% of p equals 65% of 80 and if q is 50% of p, which of the following must be true?

I. q is 130% of 80
II. p is 200% of q
III. q/p = 50% of 1

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II and III



given info
.25*p=.65*.8
p= 208
and q = .5 * 208 = 104

so :
q is 130% of 80 ; true
p is 200% of q: true
q/p = 50% of 1; true
all true
IMO E
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Re: If 25% of p equals 65% of 80 and if q is 50% of p, which of the follow  [#permalink]

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New post 08 Feb 2019, 06:24
Bunuel wrote:
If 25% of p equals 65% of 80 and if q is 50% of p, which of the following must be true?

I. q is 130% of 80
II. p is 200% of q
III. q/p = 50% of 1

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II and III



25% of p equals 65% of 80 => \(5P=13*80\)
=>P= \(\frac{13}{5}*80\)

q is 50% of P => \(q= \frac{P}{2}\)
=> \(2q=P\)

So \(q= \frac{1}{2}*\frac{13}{5}*80\)
=> \(q=\frac{13}{10}*80\)

I. q is 130% of 80 => \(q=\frac{13}{10}*80\) True

II. p is 200% of q => \(P=2q\) True

III. q/p = 50% of 1 =>\(\frac{q}{P}=\frac{1}{2}\) True
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Re: If 25% of p equals 65% of 80 and if q is 50% of p, which of the follow   [#permalink] 08 Feb 2019, 06:24
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If 25% of p equals 65% of 80 and if q is 50% of p, which of the follow

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