$66$ In $2008,$ Francine purchased a cottane in the countiy for $$110,000.$ During the entire period she has owned the property, Francine has spent thee weeks at the cottage during the summer and approximately one weekend each month the rest of the year$-$

Following her martiage a few years ago, Francine, who is $67$ years old, felt it was an opportune time to downsize her main home. Accordingly, she sold the house she owned in the city and moved into the apartment rented by her new husband. She claimed her house as her principal residence from $2011$ to $2016($inclusive$).$

Unfortunately, in $2020,$ Francine had a marital breakdown and she was forced to sell her cottage receiving proceeds of $$595,000.$

How much of her capital gain on the cottage can she exempt from taxation?

a$)$ $$0$

b$)$ $$242,500$

c$)$ $$298,462$

d$)$ $$485,000$