Most buyers do not have enough cash in hand available to buy a home, so they need to obtain a loan or mortgage to finance the purchase. Since you will probably make your purchase contingent upon obtaining a mortgage, the seller has the right to be informed of your financing plans in order to evaluate them. That is one of the major reasons that financing details are included in your offer.
As part of your offer, you will need to disclose the size of your down payment, including the earnest money deposit (EMD) which is typically due within several days after your offer is accepted by the seller. Once again, this allows the seller to evaluate your likelihood of obtaining a home loan. It is easier to get approved for a mortgage when you make a larger down payment. The underwriting guidelines are less strict when the total loan amount is lower, compared to what it would be if you made a smaller down payment.