Is it permissible to deal with the bank to buy a house by paying a percentage upfront, with the bank covering the remainder, and then repaying a monthly sum to the bank for 10 years?

This issue does not fall outside of two scenarios: The first is that the bank truly purchases the house and then sells it to you in installments for a higher price. This is permissible. The second is that the bank does not purchase the house, but rather pays its price on behalf of the buyer to reclaim it in installments with an increase. This is a prohibited usurious loan. The difference between the two scenarios is the bank's purchase of the commodity and its entry into its guarantee and ownership.