Let's analyze each statement:
Statement I: Rs. 4000 becomes Rs. 4800 in two years on simple interest. This gives us the rate of interest but does not help determine the time for a sum to become four times.
Statement II: The difference between compound interest and simple interest at the end of two years is Rs. 40. Without knowing the principal or rate, this is insufficient on its own.
Even when combined, both statements lack the necessary details to find the time for a sum to become four times on simple interest.
So, the correct option is (D): Both statements together are not sufficient to answer the question.