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A factory kept increasing its output …

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A factory kept increasing its output by same percent ago every year .Find the percentage if it is known that the output is doubled in the last2 years
  • 1 answers

Sia ? 5 years, 5 months ago

According to question,
{tex}2P = p \left( 1 + \frac { r } { 100 } \right) ^ { 2 }{/tex}
{tex}\Rightarrow \frac { \sqrt { 2 } } { 1 } = 1 + \frac { r } { 100 }{/tex}
{tex}\Rightarrow \sqrt { 2 } - 1 = \frac { r } { 100 }{/tex}
{tex}\Rightarrow r = ( \sqrt { 2 } - 1 ) 100{/tex}

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