Question

Rahul purchased a Maruti van for Rs. 1, 96,000 and the rate of depreciation is 14(2/7) % per annum. Find the value of the van after two years.
A.Rs. 1,40,000
B.Rs.1,44,000
C.Rs. 1,50,000
D.Rs. 1,60,000

Answer 1

______✨ HEY MATE ✨______

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SOLUTION:-
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Value of Maruti Van, V0= Rs. 196000
Rate of depreciation, r = 14(2/7)% = 100/7%; Time, t = 2 years
Let V1 is the value after depreciation.
V1 = V0*[1-(r/100)]t
V1 = 196000*[1-((100/7)/100)]2
V1 = 196000*(6/7)2
V1 = (196000*36)/49 = Rs. 144000.

So , Option (B) is the right answer ✔️

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Answer 2

$\underline \bold{Solution:-}$

Cost of van (P) = 196000 rupees

Time = 2 years

Rate of depreciation =100/7 %

Amount

$= p {(1 - \frac{rate}{100}) }^{time} \\ \\ = 196000 {( 1-\frac{100 /7}{100}) }^{2} \\ \\ = 196000 {( 1- \frac{1}{7}) }^{2} \\ \\ = 196000 \times {6/7}^{2} \\ \\ =144000$

After 2 years it's cost will be 144000 rupees

(B) is the correct option