How do you know that the pianos are in identical condition? Have you had them checked out by a technician? (That's the only way you'd know for sure if any work needs to be done on them, and/or if the prices are reasonable..)
[ANSWER: I don't know...I just wanted to take that variable out of the discussion to understand the theoretic difference between those models at those prices]
How tall is the K&C? (The Yamaha P202 is 45" tall).
[ANSWER: K&C is 44" tall]
Comparable in size to the Yamaha.
How well were they maintained during their lifetimes? (family should be able to tell you)
[ANSWER: stories are similar and they both state "well cared for" and always with the same family...as you say, only way to tell is inspection]
True - "well cared for" could mean anything.
Theoretically, the Yamaha should be the better piano - but that all depends.....The P202 was a very popular model in its day.
[thank you ... this is what I was after]
I own a 1976 Everett studio upright built in the same factory in Michigan as the Yamaha (Yamaha purchased the company in the mid 1970s). It has held up well over the years with minimal maintenance, but I wouldn't necessarily recommend it for a high school student seriously interested in improving his/her playing.
[QUESTION: to be clear...you are saying a Yamaha P202 is not good enough for a high schooler to improve on? - if that is so, then i need to go back to the drawing board]
No - I'm saying that a 42 year old Yamaha P202 MAY not be good enough for a high schooler to improve on based on age and depending (primarily) on condition. When I was a teenager my home piano was a BIG 50 year old upright. It wasn't great, but at least I was able to progress (and we paid $350 for it back in 1959). .
Just curious - what is the make/model of the electronic keyboard the student is currently using?
[ANSWER: Yamaha P-125]
Also - what is your max budget for purchasing a piano?
[ANSWER: $1250 is a little over our budget...we were hoping to stay at around $1000]
I completely understand and appreciate budget issues. Money doesn't grow on trees and there are so many competing needs for it. That said, you "might" want to consider a new, slightly higher end digital piano. Probably would have a better action than the P125, and wouldn't require tuning and other routine maintenance. On the other hand, the P202 may be fine for your needs..
Finally - I'm assuming that your Yamaha P-125 is fairly new - correct?