Price increase after booking
A price increase after booking means the number you agreed to is replaced by a higher one. A real change in the car or the route can justify it. A higher price with nothing changed is a reason to stop and read the cancellation clause.
This is the complaint that shows up again and again. The first price wins the deposit. A second price arrives when a carrier is available, or the day the car was supposed to move. You are then choosing between paying more or losing time.
Reasons that can be real
The car does not run, it is larger than described, the pickup is a difficult address, or you missed the window. Those are re-quotes tied to a fact you can check. Ask what fact changed. If the answer is only that the first rate was an estimate and the truck wants more, you are in the other category.
Reasons to stop
Stop if the new price arrives with a threat to keep the car, if the company will not name the carrier, or if the docket you were given is not active. You can refuse a new offer. Whether the deposit comes back is the cancellation clause, in writing. RideShipper does not raise a carrier's price and cannot force a refund. The company on the contract can.