ExplanationTo 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.

_________________

Sandy

If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test