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      Question

      If the price of a rice bag is reduced by (50/3)%, by

      what percentage should a family increase its consumption of rice bags to ensure that their total expenditure on rice remains unchanged?
      A 20% Correct Answer Incorrect Answer
      B 25% Correct Answer Incorrect Answer
      C 50% Correct Answer Incorrect Answer
      D 65% Correct Answer Incorrect Answer

      Solution

      ATQ,
      Let initial price of rice bag be Rs. 100 per kg and initial consumption be 1 kg
      So, initial total expenditure = Rs. 100
      Reduced price of rice bag = {100 – (100/6)} = Rs. (500/6)
      So, new consumption = {100/(500/6)} = (6/5)kg
      Therefore, percentage increased = [{(6/5) – 1}/1] × 100 = 20%

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