The value of a machine is Rs 6250. It decreas | vedclass

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(B) Initial value of the machine,$P = 6250$.Rate of depreciation for the first year,$r_1 = 10 \%$.Rate of depreciation for the second year,$r_2 = 20 \

Vedclass · Accepted Answer

$3150$

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(B) Initial value of the machine,$P = 6250$.Rate of depreciation for the first year,$r_1 = 10 \%$.Rate of depreciation for the second year,$r_2 = 20 \%$.Rate of depreciation for the third year,$r_3 = 30 \%$.The value of the machine after $3$ years is given by the formula:$V = P 	imes (1 - \frac{r_1}{100}) 	imes (1 - \frac{r_2}{100}) 	imes (1 - \frac{r_3}{100})$$V = 6250 	imes (1 - \frac{10}{100}) 	imes (1 - \frac{20}{100}) 	imes (1 - \frac{30}{100})$$V = 6250 	imes (\frac{90}{100}) 	imes (\frac{80}{100}) 	imes (\frac{70}{100})$$V = 6250 	imes 0.9 	imes 0.8 	imes 0.7$$V = 6250 	imes 0.504$$V = 3150$.Therefore,the value of the machine after $3$ years will be $Rs$ $3150$.

The value of a machine is $Rs$ $6250$. It decreases by $10 \%$ during the first year,$20 \%$ during the second year,and $30 \%$ during the third year. What will be the value of the machine after $3$ years?

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