"Private's Treasure" can be finished by any players no matter member or non-paid account.
Pick 10 bananas in the west plantation and put them in the crate, then add the rum. It may require some work to persuade him to let you know where, though." Here I want to talk about the steps about finishing this quest. Talking to one of the sailors along the dock, and it will cost you 30 runescape gold. To save time, remember farmer100 has awesome runescape accounts for sale with much gold. Now, you can get the rum, so go to Redbeard Frank and give it to him. He will give you a key to open a chest in the Blue Moon Tavern. You'll have to dig, Resume digging afterward to find the treasure chest. To start the quest, you will need to head over to Redbeard Frank, who is outside the bar in Port Sarim.
When you find the treasure, you would have completed the quest with buying runescape accounts!