A customer has the option to either buy a car for cash for $15,000$ or lease it with a down payment of $1,000$ and monithy paymerta of $x$ payable at the end of each month for three years.

Under the purchase option, the car has a value to the customer of $8,000$ at the end of three years. At the end of the thrceycar linaser the car is returned and has no value to the customer.

The customer is indifferent to the options at an annual nominal interest rate of $12\%$ convertible monthly

Calculate $x.$

$259$

$269$

$279$

$289$

$299$