Question # 39
O Rs. 86,400
O Rs. 95,400
The depreciation charged on a car is 20% per annum for the first 3 years and 25% per annum for the next 3 years.
What will be the value of the car after 6 years if the present value is Rs. 4,00,000?
O Rs. 82,200
O Rs. 1,00,000
Answers
Given : The depreciation charged on a car is 20% per annum for the first 3 years and 25% per annum for the next 3 years.
present value is Rs 4,00,000
To Find : What will be the value of the car after 6 years
Solution:
Present value is Rs 4,00,000
The depreciation charged on a car is 20% per annum for the first 3 years
Price After 3 Years = 4,00,000 ( 1 - 20/100)³
= 4,00,000 ( 8/10)³
= 4,00,000 ( 512/1000)
= 400 x 512
=2,04,800
The depreciation charged on a car is 25% per annum for the next 3 years
Price After 3+ 3 = 6 Years = 2,04,800 ( 1 - 25/100)³
= 2,04,800 ( 3/4)³
= 2,04,800 ( 27/64)
= 3200 * 27
= 86400
value of the car after 6 years = Rs 86400
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