Question

A factory kept increasing its output by the sane percent ago every year. Find the percentage if it is known that the output is doubled in the last two years.​

Answer 1

$\huge\underline\mathbb {SOLUTION:-}$

$\underline \mathsf \red{According\:to\:question,}$

$\mathsf {2P = p\bigg(1 + \frac{r}{100}\bigg)^2}$

$\implies \mathsf {\frac{\sqrt{2}}{1} = 1 + \frac{r}{100}}$

$\mathsf {\sqrt{2} - 1 = \frac{r}{100}}$

$\implies \mathsf {\sqrt{2} - 1 = \frac{r}{100}}$

$\implies \mathsf \blue {r = \bigg(\sqrt{2} - 1\bigg)100}$

Answer 2

Plz refers to the attachments