Let p,q,r be nonzero real numbers that are, respectively, the 10th, 100th and 1000th terms of a harmonic progression. Consider x+y+z=1, 10x+100y+1000z=0 and qrx+pry+pqz=0. Match List-I: (I) if q/r=10; (II) if p/r≠100; (III) if p/q≠10; (IV) if p/q=10, with List-II: (P) x=0,y=10/9,z=−1/9 is a solution; (Q) x=10/9,y=−1/9,z=0 is a solution; (R) infinitely many solutions; (S) no solution; (T) at least one solution.