Since the Bank will finance 85% of the house, it therefore, follows that:
100% - 85% = 15% will be the down payment on the house. But we have:
If the full price of the house = H, then:
15%H = $90,000 which is the down payment. Or,
0.15H = $90,000 divide both sides by 0.15
H = $90,000 / 0.15
H = $600,000 full price of the house to be financed. But the Bank will finance 85% of it, therefore:
$600,000 x 85%{=85/100} = $510,000 - the amount that the Bank will finance.