Bank of London offers a $272-$day discounted loan at a simple discounted rate of

$4\mathrm{.}5\%$ p$.$a$.$

a$.$ How much money would Elizabeth receive if she asked for a $$5000$ loan?

b$.$ What size loan should Elizabeth ask for in order to actually receive $$5000?$

c$.$ What is the equivalent simple interest rate that is being charged on the

loan?