After simple interest for two months at $5\%$ per annum was credited, a Boy Scout Troop had a total of $\textdollar 255.31$ in the Council Treasury. The interest credited was a number of dollars plus the following number of cents. If the answer is \( x \) cents, what is the value of \( x \)?

Let's think step by step and output the final answer within \boxed{}.
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