The price of motor cycle depreciates every year by 10%. If the value of the motor cycle after 3 years will be Rs 36450, then what is the present value (in Rs) of the motor cycle? ?->(Show Answer!)

1. The price of motor cycle depreciates every year by 10%. If the value of the motor cycle after 3 years will be Rs 36450, then what is the present value (in Rs) of the motor cycle?

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By: anil on 05 May 2019 02.26 am

Let the present value of motor cycle = Rs. $$x$$ Rate of depreciation = 10% => Value of the motor cycle after 3 years = $$x imes(1-frac{10}{100}) imes(1-frac{10}{100})(1-frac{10}{100})$$ => $$x imes(frac{90}{100})^3=36450$$ => $$x=36450 imesfrac{100^3}{90^3}$$ => $$x=0.05 imes1000000=50000$$ $$ herefore$$ The present value (in Rs) of the motor cycle = Rs.50,000 => Ans - (B)

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