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 - Mathematics

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.

Sum

Solution

Let the value of mobile in the begging be Rs.100.
For 1^st 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 2^nd 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 3^rd 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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Concept of Compound Interest - Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years

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Q 20 Q 19 Q 21

Chapter 3: Compound Interest - Exercise 3.1

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Frank Mathematics [English] Class 9 ICSE

Chapter 3 Compound Interest
Exercise 3.1 | Q 20

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