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# 27 percent of p is 100. p is q percent of 100.

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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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27 percent of p is 100. p is q percent of 100. [#permalink]  03 Apr 2017, 02:26
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Question Stats:

77% (01:02) correct 22% (00:24) wrong based on 18 sessions
27 percent of p is 100.
p is q percent of 100.

 Quantity A Quantity B q 400

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Drill 2
Question: 1
Page: 318
[Reveal] Spoiler: OA

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1650 [0], given: 396

Re: 27 percent of p is 100. p is q percent of 100. [#permalink]  03 Apr 2017, 05:21
Expert's post
Explanation

To find exact values for p and q, apply percent translation:

$$\frac{27}{100} \times p =100$$, so

$$\frac{27p}{100} =100$$,

$$27p = 10000$$, and $$p = 370.37$$;

p is q percent of 100, so q = 370.37 as well.

Hence Quantity B is greater.

Alternatively, you could avoid the calculation altogether and Ballpark this one all the way through: 100 is more than 25% (or $$\frac{1}{4}$$) of p, so p must be less than 400—and so must q.
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Re: 27 percent of p is 100. p is q percent of 100. [#permalink]  04 Apr 2017, 10:01
Expert's post
sandy wrote:
27 percent of p is 100.
p is q percent of 100.

 Quantity A Quantity B q 400

27 percent of p is 100
So, (27/100)(p) = 100
Multiply both sides by 100 to get: 27p = 10,000
Solve: p = 10,000/27

p is q percent of 100
In other words, p = (q/100)(100)
Simplify: p = q
Replace p with 10,000/27 to get: 10,000/27 = q

IMPORTANT: Since 10,000/25 = 400, we know that 10,000/27 will be a little less than 400

We get:
Quantity A: a number that's a little less than 400
Quantity B: 400

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Re: 27 percent of p is 100. p is q percent of 100.   [#permalink] 04 Apr 2017, 10:01
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