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A sum of money triples itself in twelve years at simple interest. Find the rate of interest?

  • A.12 1/2 % p.a.
  • B.14 4/7 % p.a.
  • C.15 2/3 % p.a.
  • D.None of these

Answer: D

\[ \text{SI} = \frac{P \times R \times T}{100} \]

Tripling means the interest is twice the principal.

\[ 2P = \frac{P \times R \times 12}{100} \quad\Longrightarrow\quad 200 = 12R \]

\[ R = \frac{50}{3} = 16\tfrac{2}{3}\% \text{ p.a.} \]

That rate is not among the choices, so the answer is none of these. The multiple counts the amount, so the interest is one less than it - using 3 instead of 2 would give 25%.

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