$($A$)$ Dubois Inc. has completed the purchase of new computers. The fair value of the equipment is $$824,150.$ The purchase agreement specifies an immediate down payment of $$200,000$ and semiannual payments of $$76,952$ beginning at the end of $6$ months for $5$ years. What is the interest rate, to the nearest percent, used in discounting this purchase transaction?

$($B $)$ Dubois Ine. loans money to John Kruk Corporation in the amount of $$800,000.$ Dubois accepts an $8\%$ p$.$a$.$ note due in $7$ years with interest payable semiannually. After $2$ years $($and receipt of interest for $2$ years$),$ Dubois needs money and therefore sells the note to Chicago National Bank, which demands interest on the note of $10\%$ compounded semiannually. What is the amount Dubois will receive on the sale of the note?