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A scooter is bought at Rs. 56000. Its value depreciates at the rate of 10% per annum. What will be its value after 3 years? |
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Answer» Present value of scooter, P = Rs.56000 Time, n = 3 years Rate of depreciates, R = 10% per annum Now, Amount (A) = P (1 + R/100)n [Where, A = Amount with compound interest P = Present value R = Annual interest rate n = Time in years] ∴ Value = P (1 - R/100)n [∵ Rate decreases] = 56000 (1 - 10/100)3 = 56000 (1 - 1/10)3 = 56000 (9/10)3 = 56000 × 729/1000 = 56 × 729 = 40824 ∴ Value of scooter after 3 years will be Rs.40824. |
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