Answer:

ans.

Step-by-step explanation:

Let's denote the initial amount as \( P \) and the rate of interest as \( r \).

If the sum of money doubles in 6 years, we can use the compound interest formula:

\[ A = P \left(1 + \frac{r}{100}\right)^t \]

where \( A \) is the final amount after time \( t \).

For doubling, \( A = 2P \) and \( t = 6 \) years. We can set up the equation:

\[ 2P = P \left(1 + \frac{r}{100}\right)^6 \]

Now, to find the time it takes to triple the initial amount in the same rate, we set \( A = 3P \) and solve for \( t \) with a time of 5 years:

\[ 3P = P \left(1 + \frac{r}{100}\right)^5 \]

Now, you can solve for \( t \) in the second equation. Note that the rate \( r \) is the same in both cases, as per the problem statement.