The value of desert cooler depriciates at the rate of 10% every year. The cooler was purchased for 5000rs when new and was sold for 3645rs. Find the number of years for which the cooler was used?
Answers
Answer:
3 Years
Step-by-step explanation:
Given:
Initial Price of desert cooler = 5000
Rate of depreciation = 10% p.a.
Final Price = 3645
Let Time = t yrs
ATQ
We know: A = P [ 1 - R ] ^ t
100
=> 3645 = 5000 [ 1 - 10 ] ^ t
100
=> 3645 = 5000 [ 100 - 10 ] ^ t
100
=> 3645 = 5000 [ 9 ] ^ t
10
=> 3645 = { 9 } ^ t
5000 10
=> 9 x 9 x 9 x 5 = { 9 } ^ t
5 x 10 x 10 x 10 10
=> 9 x 9 x 9 = { 9 } ^ t
10 x 10 x 10 10
=> { 9 } ^ 3 = { 9 } ^ t [ if a^m = a^n,
10 10. then m=n ]
=> t = 3
Ans: 3 Years
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