We don't have a fixed number to hand you here, because cable repair on a house this age often turns into a pulley-and-cable job rather than a cable-only swap, and the price depends on what the hardware actually looks like once we're in front of it. What we can tell you is that a straight cable replacement on a standard door costs less than a job where we're also replacing a worn pulley, a bent bottom bracket, or bringing an old extension-spring system up to a safer configuration.
This area's median household income runs well above the wider service area's figure, and we mention that only because it shapes what people here typically choose to do: more often than not, once we're in and the hardware's exposed, homeowners in Winnetka opt to replace the full pulley-and-cable assembly on both sides rather than patch one side and wait for the other to go. That's a choice, not a requirement - we'll quote both ways.