High School

We appreciate your visit to Ex 2 Rehana purchased a scooter in the year 2015 for 60000 If its value falls by 20 every year what will be the price. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Ex. (2) Rehana purchased a scooter in the year 2015 for ₹60000. If its value falls by 20% every year, what will be the price of the scooter after 2 years?

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.

  1. Initial Value: Rehana purchased the scooter for ₹60,000 in the year 2015. This is our starting value for the calculation.

  2. 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).

  3. 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.

  4. 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.

Thanks for taking the time to read Ex 2 Rehana purchased a scooter in the year 2015 for 60000 If its value falls by 20 every year what will be the price. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada