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If you want a numerical solution: (I don't know how to draw the graph).

C it is.

A is not sufficient.
example, k=40, n=50 0,1k=4 <0,2n=10.
But: k=-50, n=-40 => 0,1k = -5 > 0,2n=-8.

B is not sufficient, too.

Both statements together are sufficient.
3 cases:
a) n, k > 0 (obvious)
b) k<0, n> 0 (obvious)
c) n, k < 0

k<n (by (1))
=> -k>-n (multiplying with -1)
Using (2)
0,01k < 0,05 n or equivalent k < 5n
Hence: -k > -5n (multiplying with -1)
-k > -2n must also be true because -5n > -2n (because -n > 0)

0.10k<0.20n reduces n > k/2, if we plot k and n on the x and y axes, we get the region above the line though the origin with slope 1/2. It's really quite fast, and this technique can come in handy!