Question

The value of a commodity deteriorates at a rate of 5% per annum.Write an expression for it's value after 11 years if it's value is 5 lakhs in the beginning.

Answer 1

the rate after 11 years is 472500

Answer 2

deterioration rate(r)= 5% per annum.
initial value(P) = ₹500,000
time (t)= 11 years
Value after 11 years = P'

P' = P(1 - r/100)^t

P' = 500,000(1 - 5/100)^11

P' = 500000(1 - 0.05)^11

P' = 500000×(0.95)^11

That is your required expression.