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The value of (p % of q + q% of p) is: (A) p% of q (B) q% of p (C) 2%

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Carcass
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The value of (p % of q + q% of p) is: (A) p% of q (B) q% of p (C) 2% [#permalink] New post   07 Jan 2022, 02:50
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The value of (p % of q + q% of p) is:

(A) p% of q
(B) q% of p
(C) 2% of pq
(D) pq% of 3
(E) None of these

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See more at this link GRE Tips and Tricks - UPDATED 11/20/2021
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C
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Re: The value of (p % of q + q% of p) is: (A) p% of q (B) q% of p (C) 2% [#permalink] New post   07 Jan 2022, 06:03
Carcass wrote:
The value of (p % of q + q% of p) is:

(A) p% of q
(B) q% of p
(C) 2% of pq
(D) pq% of 3
(E) None of these

Kudos for the right answer and explanation
See more at this link GRE Tips and Tricks - UPDATED 11/20/2021


Key concept: p% \(= \frac{p}{100}\)

So, p% of q + q% of p \(= \frac{p}{100} \times q + \frac{q}{100} \times p \)

\(= \frac{p}{100} \times \frac{q}{1} + \frac{q}{100} \times \frac{p}{1} \)

\(= \frac{pq}{100} + \frac{qp}{100}\)

\(= \frac{2pq}{100}\) SCAN the answer choices.........

\(= \frac{2}{100} \times pq \)

= 2% of pq

Answer: C
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gmatclubot
Re: The value of (p % of q + q% of p) is: (A) p% of q (B) q% of p (C) 2% [#permalink]
07 Jan 2022, 06:03
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