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But is still okay paying the price that *they* heard, do you tell them the actual price or what they believe the cost is?

For example, just had a client who needs some simple enough design work doing, told them it would cost them $1000 and he emailed me saying that the $5000 price range seems reasonable and is within his budget.

Do we correct them on cost or go with the additional realized revenue this client will bring in?

Thoughts?

My initial thoughts are to tell them the price is actually $1k, but the part of me with bills to pay and new projects that need funding says to take the $5k.