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Question
The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate
The original cost of the scooter.
Solution
Depreciation for first year = Rs 5, 100 + 15 % of Rs 5, 100
Here, 15 % of Rs 5, 100 = Rs 765
Hence, Depreciation for first year= Rs 5, 100 +Rs 765 =Rs 5,865
Total depreciation for 3 years
= Rs (5,865 + 5,100 + 4335) =Rs 15,300
A = P - Rs 15300 ; P=x
`"A" = "P" (1 + "r"/100)^"n"`
`"x" - 15300 = x (1 - 15/100)^3`
x -15,300 =x × 0.85 × 0.85 × 0.85
x (1 - 0.614) = Rs 15,300
`"x" = "Rs" 15300/0.386`
x = Rs 39, 637.31
⇒ x = Rs 40,000 (approx)
Oriqinal cost of soooter =Rs 40,000
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