6. A car was bought in 2009 for $120 000h
its value decreased by 20%. In 2011, its
decreased by 10% of its value in 2010. Fine
value of the car at the end of 2011,
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Answer:
Present value of car, P = Rs.348000
Rate of depreciates for 1st year, p = 10%
Rate of depreciates for 2nd year, q = 20%
Time, n = 2 years
Now,
Value = P × (1 - p/100) × (1 - q/100)
= 348000 × (1 - 10/100) × (1 - 20/100)
= 348000 × (1 - 1/10) × (1 - 1/5)
= 348000 × 9/10 × 4/5
= 34800 × 9 × 4/5
= 6960 × 9 × 4
= 25056
∴ Value of the car after 2 years is Rs.25056.
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