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      Question

      The cost of a piece of equipment dropped by 14% in the

      first year and 18% in the second year. If the value after 2 years is Rs. 30,160, calculate its original cost.
      A β‚Ή42,760 Correct Answer Incorrect Answer
      B β‚Ή41,656 Correct Answer Incorrect Answer
      C β‚Ή46,600 Correct Answer Incorrect Answer
      D β‚Ή36,656 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Net percentage change = –14% –18% + {[(–14%) Γ— (–18%)]/100}%= –32% + 2.52% = –29.48%

      Let present cost be Rs. β€˜x’

      Then, 70.52% of x = 30160

      Or, 0.7052 Γ— x = 30160

      Or, x = 30160 / 0.7052 = 42760

      So, the original cost of the equipment = Rs. 42,760

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