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      Question

      A car’s value depreciates by 10% in the first year and

      20% in the second year. If its value after 2 years is Rs. 28,800, find the original value of the car.
      A ₹40,000 Correct Answer Incorrect Answer
      B ₹41,656 Correct Answer Incorrect Answer
      C ₹46,600 Correct Answer Incorrect Answer
      D ₹36,656 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Net percentage change = –10% –20% + {[(–10%) × (–20%)]/100}%= –30% + 2% = –28%

      Let present value be Rs. ‘x’

      Then, 72% of x = 28800

      Or, 0.72 × x = 28800

      Or, x = 28800 / 0.72 = 40000

      So, the present value of the car = Rs. 40,000

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