When I am looking for commercial work, I state on my letter that I will beat any realistic price that they already have.
This does not mean that I will do the job at a lose, if I feel that there is enough profit for me then I will go with that figure.
I would ask them what they would consider is a fair price in the current climate, don't give them a quote untill they give you this figure, if they won't give you a figure just walk away from the job.
i dont know how you can state you will beat any realistic price as every business is different and just because someone is willing to work for less than you doesnt make their price unrealistic.
im not having a go at you but me personally think it might come accross unprofessional to ask them what they think is a fair price as they dont know what your overheads are etc and just looks like yor fishing for a price to give them to get the job.
on large contractcs all tenders are placed in sealed envelopes i think if you wher to ask them for price they think is fair your quote would be thrown straight in the bin.
When I am summiting tenders I do not put that paragraph in my tender, but on my 1st contact letter it is on it.
The customers don't tell me what they are already paying first, I always give my price and service package first, if they like me and what I am willing to do, but I have priced the job at a higher rate than they are already paying, that the time when they tell me how much they are paying.
These are some examples
I quoted 1 shop £12 every week (inside &out), the customers wanted the windows cleaned on a Monday (their cleaners won't do it that day instead he cleans them on a friday) he also only charges £8, which I think is unrealistic to beat.
Another one is a care home for 12 people with a consertory, I quoted £25 per month he charges £10. Unrealisic to beat.
Finally I quoted £175 for a 6 weekly clean on a nursing home, they where already paying £150, I dropped my price to £145 and got the job.
It is realistic for me to lower my 1st price by £30 because the job only takes 2 1/2 hours to do, and I have a hourly target of £30 to meet.