Raees has found a house he would like to purchase, with an asking price is $$500,000.$ He hascash savings of $$60,000$ to put towards his down payment. He also plans to sell his existingproperty for $$335,000$ and use the net proceeds of the sale, after paying his mortgage of$$100,000$ and the realtor$$s fees of $6\%,$ as part of his down payment for the new house. Howmuch of a mortgage will Raees require?