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The value of a car depreciates at the rate of 50 percent per annum. If its present value is Rs. 75000, then what was the value of the car 3 years ago?
Question

The value of a car depreciates at the rate of 50 percent per annum. If its present value is Rs. 75000, then what was the value of the car 3 years ago?

A.

Rs. 750000

B.

Rs. 450000

C.

Rs. 600000

D.

Rs. 300000

Correct option is C

Given:
Present value of the car = Rs. 75000
Depreciation rate = 50% per annum
Formula Used:
Value after depreciation = Initial value ×(1 - Depreciation Rate)n\text {Initial value }× \text {(1 - Depreciation Rate)}^\text n​​
Where n is the number of years.
Solution:
75000 = Initial value × (1 - 0.50)³
75000 = Initial value × (0.50)³
75000 = Initial value × 0.125
Initial value = 75000 ÷ 0.125 = Rs. 600000

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