The correct option is
D R-P-T-S-Q
R is first in the sequence: R is the only phrase that can begin the sentence. It starts talking about growing age. It indicates that something happened with growing age.
R is followed by P: P starts to tell us what happened. It says that with growing age, the subject's eyesight became something.
P is followed by T: T tells us what the subject's eyesight became. It says that the subject's eyesight became weak and so she did something.
T is followed by S: S adds to T. It says that her eyesight became weak so she started something.
S is followed by Q: Q tells us what she started. It says that she started using spectacles.
Finally, the correct sentence is 'With growing age, her eyesight became weak so she started using spectacles'.
Thus, the correct sequence is R P T S Q. Hence, C is the correct option.