When a corporation started, it issued $40,000$ shares of $$5$ par common stock and $10,000$ shares of $6\%,$ $$10$ par non$-$cumulative preferred stock.$$ Last year, it declared and paid dividends of $$4,000.$ This year, it declared and paid dividends of $$12,000.$ How much of this year's dividend was distributed to preferred shareholders?

Group of answer choices

$$6,000$

$$2,400$

$$12,000$

$$10,000$

$$8,000$