$($Question $3)$

$($a$)$ Eight years ago, Amran had bought a house valued RM$450,000.$ He took $90$ percent financing on the house. The J&C bank had charge him $2\mathrm{.}95$ percent interest for $30$ years. Due to increase in Overnight Policy Rate $($OPR$)$ announced by Bank Negara Malaysia, the current rate for mortgage had increase to $3\mathrm{.}20$ percent. Calculate the new monthly payment of the loan.

$(12$ marks$)$