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A rice mill's husking machine loses 20% of its value in the first year and 10% of its value in each year after that. If it is worth ₹58320 at the end of three years, its purchase price (in ₹) was:

Competition practiceRatio, Percentage & Commercial Math
  • A90000
  • B80000
  • C81000
  • D97200

Step-by-Step Solution

Three years leave of the price, so the price was 58320/0.648 = ₹90000. (Check: 90000 → 72000 → 64800 → 58320.) Using 10% for all three years, 58320/0.729, gives ₹80000 and forgets the heavier first year; stopping after two years, 58320/0.72, gives ₹81000; and adding the rates to 40% and dividing by 0.60 gives ₹97200 — depreciation compounds downward, it does not add up.
Answer: A) 90000

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