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If p and q are positive numbers, what percent of p is q?

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If p and q are positive numbers, what percent of p is q?  [#permalink]

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New post Updated on: 22 Jan 2016, 12:04
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If p and q are positive numbers, what percent of p is q?

(1) p = 0.90q
(2) p + q = 760

Originally posted by HarveyKlaus on 22 Jan 2016, 11:45.
Last edited by Bunuel on 22 Jan 2016, 12:04, edited 1 time in total.
Edited the question.
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Re: If p and q are positive numbers, what percent of p is q?  [#permalink]

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New post 22 Jan 2016, 12:09
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HarveyKlaus wrote:
If p and q are positive numbers, what percent of p is q?

(1) p = 0.90q
(2) p + q = 760


You are given that p,q>0. The question asks you what percent of p is q ---> lets say q= r% p ---> q=rp/100 ---> r=100q/p or for our purpose what is q/p = ? .

So any statement that gives you this ratio will be sufficient to answer the question.

Per statement 1, p=0.09q ---> q/p = a unique value. Sufficient.

Per statement 2, p+q=760. Clearly insufficient. You can assign values to p and q and see you end up getting different values for q/p or p/q.

2 cases, p=1, q=759, q/p = 759 but if p=759, q=1 --> q/p = 1/759. Thus you end up getting 2 different values for q/p.

Hence A is the correct answer.

Hope this helps.
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Re: If p and q are positive numbers, what percent of p is q?  [#permalink]

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New post 22 Aug 2018, 13:27
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