March, April, and May sales are $$100,000,$$$120,000,$ and $$125,000,$ respectively. A total of $80$ percent of all sales are credit sales

and $20$ percent are cash sales. A total of $60$ percent of credit sales are collected in the month of the sale and $40$ percent are

collected in the next month. There are no bad debt expenses. What is the amount of cash collections for April?

a$.$ $$89,600$

b$.$ $$111,600$

c$.$ $$113,600$

d$.$ $$132,600$