The value of a machine is depreciated at 10% p.a. and is Rs 29151.90 after 2 years. What was its original price?
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Answer:
We know that
Final price = initial price(1+100rate)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×(1−10010)3=8748
⇒x×109×109×109=8748
⇒x=8748×910×910×910= Rs. 12000
So, the price of the machine 3 years back = Rs. 12000.
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