Not so sure but I would say that answer is A (statement 1 sufficient, statement 2 not sufficient)

cA = cost in state A = p1(1+t1)
cB = cost in state B = p2(1+t2)

check on condition 2:
cA > cB translates into p1(1+t1)>p2(1+t2)
i.e. p1+p1t1 > p2+p2t2
i.e. p1t1 > p2t2 + (p2-p1)

(p2-p1) is different from zero hence [b]condition 2 is not sufficient[/b] alone as we would need to know if p2-p1 is >0 or <0


check on condition 1:
cB translates into p1(1+t1)>p2(1+t2)
i.e. p1+p1t1 > p2+p2t2
i.e. t1(p1+p1/t1)>t2(p2+p2/t2)
i.e. t1>t2*k, with k=p2(1+t2)/p1(1+t1)

we know from cA>cB that p1(1+t1)>p2(1+t2)
thus p2(1+t2)/p1(1+t1) < 1
i.e. k<1
and t1 is not > t2

Given that we can answer the question (the answer being no), [b]condition 1 is sufficient[/b]