Impossible to answer without the serial number.
Try remingtonsociety.com
Value of 257 Roberts Model 722 Serial No/ 319811
The Remington Model 722 in .257 Roberts with the serial number 165847 was manufactured in 1953. The Model 722 was produced by Remington from 1948 to 1962, and the serial numbers can help identify the specific production year.
Timney makes a great aftermarket trigger for the Remington model 700,that will fit your Remington model 722 rifle.
If you are asking about a Remington model 722 bolt action rifle?Then the letter code which can be found on the barrel will date your rifle for you.Get the 2,or 3 letter code and go to Remington arms Company and look up the letter code by year. I don't think Remington Arms Company has it on their web but the Remington Society of America does, see related links.
$125 in working order...at most.
$50-$300 depending on condition
1 in 16"
100-400 USD depending on condition.
Around $595.00
1948 to 1962
The Remington Model 722 is a bolt-action rifle introduced in the 1940s, known for its accuracy and reliability. The .243 Winchester caliber variant features a barrel twist rate typically around 1:10 inches, which stabilizes a range of bullet weights effectively. The Model 722 is often praised for its performance in hunting and target shooting, making it a popular choice among shooters. Its design laid the groundwork for future Remington models, including the widely known Model 700.
See related links for date code stamp information on the Remington Society of America.