I bought 300 barrels of used electronics components at $3 per barrel, and 120 of them were ruined in my leaky storage building. At what price per barrel must I sell the remainder so as to suffer no loss and break even?

Answer: you must sell the remainder at $7 so as to suffer no loss and break even.

Step-by-step explanation:

You bought 300 barrels of used electronics components at $3 per barrel. It means that the cost was

300 * 3 = $900

If 120 of them were ruined in your leaky storage building, it means that the additional cost incurred would be

120 * 3 = $360

Total cost incurred would be

900 + 360 = $1260

To break even,

Revenue = total cost

Let x represent the price per barrel that you must sell the remainder so as to suffer no loss and break even. The remainder is

300 - 120 = 180

Revenue from the remainder is

180 * x = $180x

Therefore,

180x = 1260

x = 1260/180

x = 7