The cost of a scooter depreciates every year by 15% of its value at beginning of the year. If the present cost of the scooter is Rs. 8,000; find its cost (in Rs.) after 2 years.

5780

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6690

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7200

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7530

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Solution

The correct option is A 5780
Cost after depreciation in 'n' years $= Original cost \times {(1 - \frac{R}{100})}^{n}$
So after two years, cost $= R s 8, 000 \times {(1 - \frac{15}{100})}^{2} = 8, 000 \times {(\frac{85}{100})}^{2} = R s 5, 780$

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The cost of a scooter depreciates every year by 15% of its value at beginning of the year. If the present cost of the scooter is Rs. 8,000; find its cost (in Rs.) after 2 years.

The correct option is A 5780Cost after depreciation in 'n' years =Original cost×(1−R100)nSo after two years, cost =Rs8,000×(1−15100)2=8,000×(85100)2=Rs5,780

The correct option is A 5780
Cost after depreciation in 'n' years $= Original cost \times {(1 - \frac{R}{100})}^{n}$
So after two years, cost $= R s 8, 000 \times {(1 - \frac{15}{100})}^{2} = 8, 000 \times {(\frac{85}{100})}^{2} = R s 5, 780$