Vector Algebra

Let PQR be a triangle. The points A, B and C are on the sides QR, RP and PQ respectively such that

\({{QA} \over {AR}} = {{RB} \over {BP}} = {{PC} \over {CQ}} = {1 \over 2}\). Then \({{Area(\Delta PQR)} \over {Area(\Delta ABC)}}\) is equal to :