Question

The value of a machine depreciates at 10.5% per annum. It was purchased 2 years ago. If its present value is Rs. 1,60,205, find the original value of the machine.

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Answer 1

Answer:

200000 Rs.

Step-by-step explanation:

Suppose, the original value of the machine was P Rs.

The value of the machine depreciates 10.5% per annum.

As it was purchased 2 years ago, its present value is

P(1-10.5/100)^2 Rs.

According to the question,

P(1-10.5/100)^2 = 160205

or, P(1-105/1000)^2= 160205

or, P(1- 21/200)^2= 160205

or, P(179/200)^2= 160205

or, P= (160205×200×200)/(179×179)

or, P= 200000

Therefore, the original value of the machine was 200000 Rs.