Discussion
At what rate per cent per annum will the simple interest on a sum of money be \( \dfrac{2}{5} \) of the sum in 10 years?
Answer: A
\[ \text{SI} = \frac{P \times R \times T}{100} \]
\[ \frac{2}{5}P = \frac{P \times R \times 10}{100} \]
The \( P \) cancels:
\[ \frac{2}{5} = \frac{10R}{100} = \frac{R}{10} \quad\Longrightarrow\quad R = 4\% \]
Checking: 4% for 10 years gives 40% of the sum, which is \( \tfrac{2}{5} \).
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