Lucia Company reported cost of goods sold for Year $1$ and Year $2$ as follows:

Year $1$ Year $2$

Beginning inventory $ $127,500$ $ $131,500$

Cost of goods purchased $251,500282,500$

Cost of goods available for sale $379,000414,000$

Ending inventory $131,500136,500$

Cost of goods sold $ $247,500$ $ $277,500$

Lucia Company made two errors: $1)$ ending inventory at the end of Year $1$ was understated by $$16,500$ and $2)$ ending inventory at the end of Year $2$ was overstated by $$7,500.$ Given this information, the correct cost of goods sold figure for Year $2$ would be:

Multiple Choice

$$285,000$

$$270,000$

$$301,500$

$$294,000$

$$256,500$