The rate of depreciation of a machine in a factory is dV/dt = -500 (in ₹/year). If the current value (t=0) is ₹ 1,00,000, what is its value after 10 years?

The rate of depreciation of a machine in a factory is dV/dt = -500 (in ₹/year). If the current value (t=0) is ₹ 1,00,000, what is its value after 10 years?

• A. ₹ 95,000
• B. ₹ 50,000
• C. ₹ 90,000
• D. ₹ 1,05,000

Answer: A) ₹ 95,000

Explanation: V(t) = ∫ -500 dt = -500t + C. V(0) = 100000. At t=10, V(10) = -5000 + 100000 = 95000.