What will be the compound interest on $R s 15, 625$ for $3$ years at $8 %$ $p . a,$ if the interest is compounded annually ?

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Solution

$x^{2} + \frac{1}{x^{2}} = (x + \frac{1}{x})^{2} - 2 = (x - \frac{1}{x})^{2} + 2$
$x^{2} + \frac{1}{x^{2}} = 2 + 2 = 4$
$[(x + \frac{1}{x})^{2} = x^{2} + \frac{1}{x^{2}} + 2; (x - \frac{1}{x})^{2} = x^{2} + \frac{1}{x^{2}} - 2]$

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