Hi,
This article throws light on short-selling as well as purchasing a put option.
It underlines the fact that when the underlying asset increases in price, then betting against the stock will be less of a loss for someone buying a put option than someone short-selling the stock.
In the case of a put option, the premium paid to purchase the put is the maximum loss that can be incurred whereas short-selling can lead to much larger losses if the stock moves up.
It also mentions that profits are similar in the both the cases when the stock price falls.
It also shows a graphical representation of how the profit and loss varies with an increase in stock price.