Impossible to answer without the serial number.
Try remingtonsociety.com
Value of 257 Roberts Model 722 Serial No/ 319811
Timney makes a great aftermarket trigger for the Remington model 700,that will fit your Remington model 722 rifle.
$125 in working order...at most.
1 in 16"
$50-$300 depending on condition
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.
100-400 USD depending on condition.
Around $595.00
1948 to 1962
See related links for date code stamp information on the Remington Society of America.
The Remington model 722 rifles were made from 1948-1962.To get the exact year of production,Remington used a barrel date letter code which can be found just ahead of the receiver on the barrel.This will be a 2,or 3 letter code.Then go to Remington,s web site and find the letter code system and date your rifle to the correct year.I have 2 Remington model 722 rifles,one in 300Savage caliber and the other in .244 Rem.caliber and would not sell either one.They are wonderful and accurate rifles. See related links for the information on the Remington Society of America.
Check Remington Society of America here for date: http://remingtonsociety.com/rsa/questions/barrelcodes