Discussion
A certain sum of money doubles itself in 10 years in how much many years will it trible itself at the same rate?
Answer: A
Doubling means the interest equals the principal, so
\[ P = \frac{P \times R \times 10}{100} \quad\Longrightarrow\quad R = 10\% \]
Trebling needs interest of \( 2P \):
\[ 2P = \frac{P \times 10 \times T}{100} \quad\Longrightarrow\quad T = 20 \text{ years} \]
Under simple interest the interest accumulates linearly, so twice the interest takes exactly twice the time - under compound interest it would take less.
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