the value of a car depriciates at the rate of 10% per annum. It was purchased 3 years ago. If it's present value is rs 364500, for how much was it purchased
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We know that
Final price = initial price(1+
100
rate
)
time
Here the final price = Rs. 8784, time =3 yrs, rate =−10%p.a.
The rate is negative since the price is depriciating.
Let the initial price = Rs. x.
∴x×(1−
100
10
)
3
=8748
⇒x×
10
9
×
10
9
×
10
9
=8748
⇒x=8748×
9
10
×
9
10
×
9
10
= Rs. 12000
So, the price of the machine 3 years back = Rs. 12000.
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