A negotiation exercise performed by $10$ students $(5$ pairs$)$ on selling a car involved only setting a price with no flexibility or discussion of any other considerations. The seller has offered the car for sale at $$40,000$ and the buyer has offered to buy it for $$20,000.$ Below are the final dispositions of the negotiations. $($Assume no more information than explicitly provided here.$)$

Pair $1$: Car sold for $$25,000$

Pair $2$: Did not make a deal

Pair $3$: Car sold for $$40,000$

Pair $4$: Car sold for $$30,000$

Pair $5$: Car sold for $$15,000$