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प्रश्न
The value of a mobile depreciated by 5% per year during the first two years and 10% per year during the third year. Express the total depreciation of the value of the mobile in percent during the three years.
उत्तर
Let the value of mobile in the begging be Rs.100.
For 1st year, depreciation = 5% of Rs.100
= `(5)/(100) xx 100`
= Rs.5
Value of machine for second year
= Rs.100 - Rs.5
= Rs.95
For 2nd year, depreciation = 5% of Rs.95
= `(5)/(100) xx 95`
=Rs.4.75
Value of machine for third year
= Rs.95 - Rs.4.75
= Rs.90.25
For 3rd year, depreciation = 10% of Rs.90.25
= `(10)/(100) xx 90.25`
=Rs.9.025
Value of machine at the end of third year
= Rs.90.25 - Rs.9.025
= Rs.81.225
Net depreciation
= Rs.100 - Rs.81.225
= Rs.18.775 or 18.775%.
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