You applied to an Islamic Bank for financing a $600000$ QR apartment using Finance Lease $($Ijara muntahia bi atmleek$).$

The bank accepted and requested from you a $40\%$ down payment $($Hamish Jiddiyah$)$ from the cost of the apartment.

The bank leased the apartment to you for $1300$ QR monthly. The monthly payment towards the Bank$$s finance is $2980$ QR$.$ The last installment will be used to close the balance.

$($N$ote$ : If the duration is $60\mathrm{.}4$ months, for instance, the bank would close the balance on the $60$th month. Profit will be calculated only for $60$ months. $)$

Find the following:

The amount of the bank$$s finance

The down payment

The monthly installment paid

The duration to acquire the ownership of the apartment $($Months$)$

The bank$$s profit

The amount of the last installment.

The Banks annual rate of return