Is Zakat obligatory on a sum of 13,0 Libyan Dinars that was paid for the purchase of two cars approximately one year ago, and how much is the value of the Zakat if it is obligatory?

If the amount was paid to purchase the two cars, then there is no zakat on it.

As for the two cars, if they were intended for trade, then zakat is due on them by assessing their value at the completion of the hawl (one lunar year) and giving out a quarter of a tenth (2.5%), whether they have been received or not.

However, if they were intended for personal use and acquisition, then there is no zakat on them.