The production of a factory grows at a 8 % p. | vedclass

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Question

(B) The production of the factory in $2008$ is given as $P = 70$ $lakh$ tonnes.The growth rate is $R = 8 \%$ $p.a.$The time period from $2008$ to $201

Vedclass · Accepted Answer

$81.648$

Vedclass · Answer

(B) The production of the factory in $2008$ is given as $P = 70$ $lakh$ tonnes.The growth rate is $R = 8 \%$ $p.a.$The time period from $2008$ to $2010$ is $n = 2$ years.Since the production grows at a compound rate,we use the formula for compound growth:$A = P \left(1 + \frac{R}{100}ight)^n$Substituting the values:$A = 70 \left(1 + \frac{8}{100}ight)^2$$A = 70 \left(1 + 0.08ight)^2$$A = 70 	imes (1.08)^2$$A = 70 	imes 1.1664$$A = 81.648$ $lakh$ tonnes.Therefore,the production in $2010$ will be $81.648$ $lakh$ tonnes.

The production of a factory grows at a $8 \%$ $p.a.$ What will be its production (in $lakh$ tonnes) for the year $2010$,if its production in $2008$ was $70$ $lakh$ tonnes?

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