Question

A value of T.V. depreciates every year at the rate of 10% of its value at the beginning of the year. The T.V.

was purchased for `50,000, when new and the scrap value realised when sold was `36,450. Find the

number of years that the T.V. was used​

Answer 1

Answer:

3 years

Step-by-step explanation:

Let the Time be n.

Amount (A) = ₹36,450

Principal (P) = ₹50,000

Rate of depreciation (R) = 10%

In case of depreciation,

A = P (1 - R/100)ⁿ

=> 36,450 = 50,000 (1 - 10/100)ⁿ

=> 36450/50000 = (90/100)ⁿ

=> 729/1000 = (9/10)ⁿ

=> (9/10)³ = (9/10)ⁿ

=> n = 3 years

Answer 2

3 years is the right answer

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