S $75.$ Adelpha's home is valued at $$250,000.$ She has insurance coverage of $$160,000$ with an $80\%$ coinsurance clause. If Adelpha has a damage claim amounting to $$100,000,$ how much will she receive from her policy?

a$.$ $$32,000$

b$.$ $$60,000$

c$.$ $$80,000$

d$.$ $$100,000$