Question

value of a scooter is rs 31250. it is depreciating at 12% per annum. in how many years will it reduce to rs 21296

Answer 1

Answer:

3 years..

• 1st year balance - 27500
• 2nd year balance - 24200
• 3rd year balance - 21296

Answer 2

Answer:

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Step-by-step explanation:

It is given that  

Present value, P = 31250

Reduced value, A = 21296

Rate of depreciation, r = 12% p.a.

Years of reduction = n  

We know that  

A/P = [1−(r/100)]ⁿ

 Substituting the values  

21296/31250=[1−(12/100)]ⁿ  

By further calculation

10648/15625 = (88/100) ⁿ

(22/25)ⁿ = 10648/15625 = (22/25)³

∴ n=3  

Hence, the period in which its value be reduced to 21296 is 3 years.

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