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Question

The value of a machine depreciates at the rate of 10% every year. it was purchased 3 years ago . If its present value is Rs. 8748, its purchase price was

A
Rs. 10000
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B
Rs. 11372
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C
Rs. 12000
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D
Rs. 12500
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Solution

The correct option is C Rs. 12000We know thatFinal price = initial price(1+rate100)timeHere 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×(1−10100)3=8748⇒x×910×910×910=8748⇒x=8748×109×109×109= Rs. 12000So, the price of the machine 3 years back = Rs. 12000.Ans- Option C.

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