You did not say if this is a Shortsale or an REO;
I will assume that it is neither; which means that you are dealing with the Seller; human beings.
Because there are multiple offers, you may be asked to give your "Best and Final" offer:
You didn't say what the house is WORTH: you are assuming that their LISTING PRICE is founded on something. Since you did not say so, I am also assuming that you have not done a CMA to determine the true value of the house; it may be $95,000, it mat aslo be $65,000.
If the Appraisal says it is $65, you will have a hard time buying it at $75.
If the Appraisal says it is $95, and someone else knows that, then you will not get the house.
You will need to make a STRONG offer which includes more than just a good price. Talk to your Realtor about what else you need; and have him do the CMA before you make your next offer.
Good luck and ma yGod bless