The correct answer is D. No improvement.
The sentence "If you are living near a market place you should be ready to bear the disturbances caused by traffic" is grammatically correct and conveys the intended meaning clearly. The word "bear" is used in the sense of "to tolerate or endure something unpleasant." In this case, the speaker is advising the listener to be prepared for the noise and other disturbances that are common near a market place.
The other options are not as appropriate. Option A, "to bear upon," means "to have an effect on or influence something." This does not make sense in the context of the sentence, as the speaker is not saying that the disturbances caused by traffic will have an effect on the listener. Option B, "to bear with," means "to tolerate or put up with something." This is also not a good fit, as the speaker is not saying that the listener should tolerate the disturbances caused by traffic. Option C, "to bear away," means "to carry or take something away." This does not make sense in the context of the sentence, as the speaker is not saying that the disturbances caused by traffic will carry the listener away.