The cost of a mobile phone is Rs 9000. Its value depreciates at the rate of 5% p.a. Find the total depreciation in its value at the end of 2 years. |
₹ 677.50 ₹ 977.50 ₹ 877.50 ₹ 777.50 |
₹ 877.50 |
The correct answer is option (3) : ₹ 877.50 Given $P= ₹9000$ $i=\frac{5}{100}=0.05$ $n= 2\, years $ $S=P(1-i)^n$ $= 9000(1-0.05)^2$ $= 9000(0.95)^2$ $= 9000×0.9025$ $= 8122.5$ ∴ Total depreciation $= ₹9000-₹8122.50$ $= ₹ 877.50$ |