A specialty store sells only baby carriages and car seats. The price of a baby carriage is $300$ and the price of a car seat is $100.$ The proprietor knows that $60\%$ of the people stopping at the store do not make a purchase, $20\%$ buy a baby carriage, and $35\%$ buy a car seat. No customer buys more than one of each item. If a customer buys both a baby carriage and a car seat, the proprietor gives a $10\%$ discount on the total. Calculate the revenue the proprietor expects on a day that $200$ people come to the store.