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      Question

      The cost of rice has gone up by 25%. By what percent should

      a person reduce their rice intake so that their total spending on rice remains unaffected?
      A 14 % Correct Answer Incorrect Answer
      B 20 % Correct Answer Incorrect Answer
      C 18 % Correct Answer Incorrect Answer
      D 12 % Correct Answer Incorrect Answer

      Solution

      ATQ,

      Initial price = Rs. 100m, consumption = n kg

      Initial expenditure = 100mn

      New price = 125m

      New consumption = 100mn ÷ 125m = 100n ÷ 125 kg

      Decrease in consumption = n - (100n ÷ 125) = 25n ÷ 125

      Required percent = (25n ÷ 125) ÷ n × 100 = 2500 ÷ 125 = 20%

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