$($a$)$ A loan of K$92,000$ is repayable over $25$ years by level monthly instalments in arrears of capital and interest. The repayments are calculated using an effective rate of interest of $8\%$ per annum. Calculate:

$($i$)$

a$.$ The capital repaid in the first monthly instalment.

b$.$ The total amount of interest paid during the last six years of the loan.

c$.$ The interest included in the final monthly payment. $[8]$

$($ii$)$ Explain how your answer to $($i$)($b$)$ would alter if$,$ under the original terms of the loan, repayments had been made less frequently than monthly.