At what rate per cent per annum simple interest will a sum double itself in 12 years?

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Solution

$\begin{array}{l} Let the sum be Rs x . \\ Amount = Rs 2 x \\ ∴ S . I. = (2 x - x) = R s x \\ Time = 1 2 years \\ ∴ P = x, S . I . = x, T = 1 2 years \\ ∴ R= \frac{100×S .I.}{P×T} = \frac{100 \times x}{x \times 12} = 8.3 % \end{array}$

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At what rate per cent per annum simple interest will a sum double itself in 12 years?

Let the sum be Rs x. Amount =Rs 2x ∴S.I.=(2x−x)=Rs xTime=12 years∴ P=x, S.I.=x, T=12 years∴ R=100×S.I.P×T=100×xx×12=8.3%

$\begin{array}{l} Let the sum be Rs x . \\ Amount = Rs 2 x \\ ∴ S . I. = (2 x - x) = R s x \\ Time = 1 2 years \\ ∴ P = x, S . I . = x, T = 1 2 years \\ ∴ R= \frac{100×S .I.}{P×T} = \frac{100 \times x}{x \times 12} = 8.3 % \end{array}$