Question

# A factory kept increasing its output by the same percentage every year .Find the percentage if it is known that the output is doubled in the last two years.

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Solution

## Let r be the increase in the rate percent per annum Let x be the principal According to the given information x(1+r100)2=2x⇒(1+r100)2=2⇒1+r100=√2⇒r100=√2−1=1.4142−1=0.4142⇒r=0.4142×100=41.42% Thus, the approximate increases in the rate percent is 41.42%

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