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Question
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.
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Solution
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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