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How many years will take certain amount to double at 8% interest per annum at simple interest?

  • A.13½ years
  • B.12½ years
  • C.10½ years
  • D.9 years

Answer: B

It takes 12½ years.

An amount doubles when the simple interest equals the principal, so

\[ \begin{aligned} P &= \frac{P \times 8 \times T}{100} \\ T &= \frac{100}{8} = 12.5\ \text{years} \end{aligned} \]

A useful shortcut: at simple interest the time to double is 100 divided by the rate. 9 years is close to the 'rule of 72' for compound interest (72 / 8 = 9), which does not apply here; 13½ and 10½ years do not fit either rule.

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