Mini$-$Case A: $(3\mathrm{.}5$ marks$)$

Six months ago, Arya, a $24-$year$-$old graduate, moved to Vancouver from Montreal to be closer to her long$-$time boyfriend, Max. Max lived with his parents, while Arya rented a one$-$bedroom apartment downtown and started furnishing it with both new and second$-$hand items. Among her possessions were a $$6,000$ Apple MacBook for her influencer business, a $$5,000$ Apple iPhone $16$ Pro Max, a $$10,000$ Trek Carbon Mountain bike, and several valuable pieces of jewelry inherited from her grandmother. Max suggested she get tenant insurance, but Arya was initially unsure if it was worth the cost, assuming her landlord's insurance would cover damage to the unit, as well as theft, fire, or liability issues. After researching, Arya agreed with Max when she learned that tenant insurance typically included three key components: personal property coverage, liability coverage, and additional living expenses. Arya then purchased a tenant insurance policy for $$20/$month$,$ with $$30,000$ in personal property coverage $($including a $$4,000$ limit on jewelry and $$7,000$ on the bicycle$),$ $$1$ million in liability coverage, and additional living expenses covered up to $$5,000.$

$(3\mathrm{.}5$ marks$)$a$)$ Arya is wondering if$,$ in the event things don't work out with Max in one year and they have to sell their home, she would be hit with a capital gain, especially considering the significant increase in property values in and around Vancouver. What would be the taxes payable on the taxable capital gain on their principal residence if Arya and Max had to sell their home in a year for $$300,000?$ Assume they are both in a $38\%$ tax bracket and the home was purchased in both their names. $(\mathrm{.}5$ marks$)$

Calculate the tax that Arya and Max would pay on the sale of their home $($principal residence$)(\mathrm{.}5$ marks$)$