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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?

  • A.4%
  • B.5 2/3 %
  • C.6%
  • D.6 2/3 %

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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