The value of a machine depreciates at the rate of 10% per annum It was purchased 3 years - Maths - Comparing Quantities

Question

The value of a machine depreciates at the rate of 10% per annum
It was purchased 3 years ago If its present value is Rs 291600, for
how much was it purchased? please give answer fast

Ayush Jha · Accepted Answer

We have to find the cost at which the machine was purchased 3 years ago.

We have,

Amount after the given time interval,(A)=Rs.291600

TIme,(t)=3 years

Rate of interest,(r)=10% per annum.

Therefore,

$A = P {(1 + \frac{r}{100})}^{t}$

So,

$291600 = P {(1 - \frac{10}{100})}^{3} P = \frac{291600 {(10)}^{3}}{{(9)}^{3}} = R s .4, 00, 000$

Therefore,cost at which the machine was purchased 3 years ago is Rs. 4,00,000

The value of a machine depreciates at the rate of 10% per annum . It was purchased 3 years ago . If its present value is Rs.291600, for how much was it purchased? please give answer fast.