avid can receive one of the following two payment streams:

$($i$)100$ at time $0,200$ at time n years, and $300$ at time $2$n years

$($ii$)600$ at time $10$ years

At an annual effective interest rate of i$,$ the present values of the two streams are equal.

Given v$^$n $=0\mathrm{.}76,$ calculate i$.$

A$.3\mathrm{.}5\%$ B$.4\mathrm{.}0\%$ C$.4\mathrm{.}5\%$ D$.5\mathrm{.}0\%$ E$.5\mathrm{.}5\%$