What will be The Value of The Car After Five Years?

The value of a car is Rs. 1,00,000 and it depreciates @ 10% per annum. What will be the value of the car after five years?

  1. Rs. 55,400
  2. Rs. 50,000
  3. Rs. 60,000
  4. Rs. 59, 049
Anurag Mishra Professor Asked on 6th September 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) Rs. 59, 049

    Explanation:-
    Given-
    Principal = Rs. 1, 00,000,  Rate = 10% and Time = 5 years.

    Formula-
    Amount = Principal (1 – Rate/100)time

    Then, Amount = 1, 00, 000 (1 – 10/100)5
    = 1, 00, 000 (9/10)5
    = 1, 00, 000 x 9 x 9 x 9 x 9 x 9/10 x 10 x 10 x 10 x 10
    = 9 x 9 x 9 x 9 x 9
    = Rs. 59, 049

    Then, the value of car after five years will be Rs. 59, 049.

    Hence, the answer is (4) Rs. 59, 049.

    Anurag Mishra Professor Answered on 9th September 2015.
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