Correct Answer: Only II

Solution : Statement I:
Number of pencils sold by A in P and Q together = 150 + 140 = 290
Number of pencils sold by B in S and T together = 130 + 125 = 255
Percent of number of pencils sold by A in P and Q together to number of pencils sold by B in S and T together = $\frac{290}{255}\times{100}$ = 113.72%
The number of pencils sold by A in P and Q together is 13.72 percent more than the number of pencils sold by B in S and T together.
$\therefore$ Statement I is wrong.

Statement II:
Number of pencils sold by B in Q and R together = 110 + 160 = 270
Number of pencils sold by A in P and T together = 150 + 105 = 255
Percent of the number of pencils sold by B in Q and R together to the number of pencils sold by A in P and T together = $\frac{270}{255}\times{100}$ = 105.88%
$\therefore$ Statement II is correct.
Hence, the correct answer is only II.