At the beginning of year 1, an investor puts p dollars into an investment whose value increases at a variable rate of x_n% per year, where n is an integer ranging from 1 to 3 indicating the year. If 85 < x_n < 110 for all n between 1 and 3, inclusive, then at the end of 3 years, the value of the investment must be between:

(A) $p and $2p
(B) $2p and $5p
(C) $5p and $10p
(D) $10p and $25p
(E) $25p and $75p

Does any have a easy solution to this mgmat problem?

Thanks.