Dorminie Inc. purchased $$2,000$ worth of merchandise inventory and later sold it to its customer John Inc. for $$3,000.$ What is the amount remitted to the government for both GST and PST assuming a GST rate of $5\%$ and a PST rate of $7\%?$

a$.$ $$260$

b$.$ $$110x$

c$.$ $$240$

d$.$ $$360$