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A new computer costs Rs 1,00,000. The depreciation of computers is very high as new models with better technological advantages are coming into the market.

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Question

A new computer costs Rs 1,00,000. The depreciation of computers is very high as new models with better technological advantages are coming into the market. The depreciation is as high as 50% every year. How much will the cost of computer be after two years?

Sum
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Solution

The cost of the new computer = ₹ 100000

The depreciation rate = 50% per annum

Time period (T) = 2 years

Let the cost of computer after 2 years = ₹ A

∵ `A = P(1 - R/100)^T`

= `100000(1 - 50/100)^2`

⇒ `A = 100000 xx 1/2 xx 1/2`

= 25000 × 1

∴ A = ₹ 25000

Hence, the cost of computer after 2 years is ₹ 25000.

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Chapter 9: Comparing Quantities - Exercise [Page 297]

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NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 9 Comparing Quantities
Exercise | Q 90. | Page 297

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