Question

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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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Answer 1

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.

Solutions:-

$p \times (1 + x \div {100)}^{2} = 2p$

$(1 + x \div {100)}^{2} = 2$

$(1 +x \div 100) = 1.414$

$x \div 100 = 0.414$

$x = 41.4$

Given:-

If (P) is the earlier production and x% is the rate of increase in production.

AnsWeR:-

$\large\fbox{X=41.4}$

Answer 2

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