A deposit of X is made into a fund which pays an annual effective interest rate of $6\%$ for $10$ years. At the same time, X$/2$ is deposited into another fund $,$which pays an annual effective rate of discount of d for $10$ years. The amounts of interest earned over the $10$ years are equal for both funds. Calculate i$,$ where i represents the effective rate of interest when d is its discount rate.

a$.9\mathrm{.}0\%$ b$.9\mathrm{.}5\%$ c$.9\mathrm{.}9\%$ d$.10\mathrm{.}5\%$ e$.11\mathrm{.}0\%$