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A factory kept increasing its output by the same percentage. Find the percentage increase if its known output is doubled in the last two years?
Say X was output in the yr before last two years.
So nex year the output = X(1+P)
And the year after that output = X(1+P)(1+P), which is given to be twice the output 2 yrs back.
So (1+p)2=2 or 1+P = root(2) = 1.414
So P=0.414.
Or percentage change every year = 41.4%.
All the best.
Regards,
Ashwin (IIT Madras).
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