What you have is a Savage 24, either Series 'R', or more likely, Series 'S'. It should be so marked somewhere on the barrels, near the receiver. The wood is hardwood, birch, and it is the standard model, not the deluxe, the deluxe version in that time period had walnut wood, skip line checkering, and the 10 1/2 inch beavertail forend. The action break on the rimfires went to the front of the triggerguard in 1980, until 1989, when Savage discontinued the wood stocked models, and went to the 24F, with the ugly black composite stocks. So your gun was manufactured between 1980 & 1989. Can't tell you what it's worth, because of the triggerguard, thats a big minus, as it's hard to find parts for the older Savages, but if the trigger guard wasn't broken, and the gun was in pristine condition, I would think you could get 325 to 350 for it on auction, I've seen them go for that much. Also, while being a 22LR on top rather than a 22 Mag, should make it worth more, as theoretically, more 22 mags were sold than 22 LR's, it doesn't seem to work that way, buyers do prefer the 22 Win Mag. If you want to sell it, your best bet would be to watch what they are going for on Auction Arms & Gunbroker, then set your price accordingly.
Sincerely,
Garry