Question

A machine was purchased 2 year ago. Its value deprecistes the rate of 10% per annum. If its present value is 64, 800 find its price 2 year ago.

Answer 1

Answer:-

Given,

A machine was purchased 2year ago

Its value depriciates at the rate of p.a.=10%

Its present value = 64,800

A.T.Q

Amount =P(1-R/100)n

64,800=P(1-10/100)2

64,800=P(9/10)2

64, 800= P×9/10×9/10

64,800= 81P/100

By cross multiplication we get,

64,800×100=81P

Transfering L.H.S to R.H.S

64,80,000/81=P

80,000=P

P=80,000

Hence,price of machine two year ago is 80,000

Hop it may help you