Question

ahmed purchase an old scooter for rs 16000 if the cost of scooter after two years depreciate to rs 14440 find he rate of depreciation

Answer 1

Hi ,

Cost price of the scooter(c) = Rs16000

Let the Rate of depreciation = d %

scooter price after 2 years

S = Rs 14440

S = c ×(100 - d )/100× (100-d)/100

14440 = 16000 × (100 - d )^2 /10000

( 14440 × 10000)/16000 = ( 100 - d )^2


( 144400/16) = ( 100 - d )^2

9025 = ( 100 - d )^2

95 = 100 - d

d = 100 - 95

d = 5 %

Rate of the depreciation = d = 5 %

I hope this helps you.

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Answer 2

"Rate of the depreciation", d = 5%

Given:

Cost price of the scooter, c = Rs 16,000

Let the "Rate of depreciation" = d %

Scooter price after 2 years, S = Rs 14,440

Solution:

$S = c \times\left(\frac{(100-d)}{100}\right) \times\left(\frac{100-d}{100}\right)$

$S = c \times\left(\frac{(100-d)}{100}\right)^{2}$

$14440 = 16000 \times\left(\frac{100 - d )^{2}}{10000}\right)$

$\left(\frac{14440 \times 10000}{16,000}\right) = (100 - d)^{2}$

$\left(\frac{14,4400}{16}\right) = (100 - d)^{2}$

$9025 = (100-d)^{2}$

$95 = 100 - d$

$d = 100 - 95$

$d = 5 \%$