in our bank's procedures, we charge a loan allocation fee of 0.5% for consumer loans and the interest rate is 1.6% per month. For a 30-month maturity loan of 200.000 TL:

a) If we collect an additional allocation fee of 3.000 TL from the customer, to which level can we decrease the interest rate?

b) How many liras additional allocation fee should we demand in order to apply the interest rate at 0.9%?

c) In order to be able to give the loan with zero interest rate, how many liras should we request additional allocation fee?

(ignore all kind of tfees and axes)