Answer :
To determine the price of the scooter after 2 years, we can follow a step-by-step method using the concept of depreciation. Depreciation is a decrease in the value of an asset over time, and this problem demonstrates a constant rate of depreciation.
Initial Value: Rehana purchased the scooter for ₹60,000 in the year 2015. This is our starting value for the calculation.
Depreciation Rate: The value of the scooter falls by 20% every year. This means that after each year, the scooter retains only 80% of its value from the previous year (because 100% - 20% = 80% or 0.8 as a decimal).
Calculate Value After 1 Year:
The value of the scooter after the first year can be calculated as:
[tex]\text{Value after Year 1} = \text{Initial Value} \times (1 - \text{Depreciation Rate})[/tex]
[tex]\text{Value after Year 1} = 60,000 \times 0.8 = 48,000[/tex]
So, after the first year, the scooter's value is ₹48,000.
Calculate Value After 2 Years:
To find the value after the second year, apply the depreciation percent again:
[tex]\text{Value after Year 2} = \text{Value after Year 1} \times 0.8[/tex]
[tex]\text{Value after Year 2} = 48,000 \times 0.8 = 38,400[/tex]
Therefore, the value of the scooter after 2 years will be ₹38,400.
This method allows us to see how the scooter loses 20% of its value each year, applying the same percentage decrease successively over the years in question.
