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      Question

      Aman had Rs. 124 in the form of

      50 paise coins, Rs. 1 coins, and Rs. 5 coins. The ratio of the number of coins of each denomination is 3:4:2. Determine the difference between the number of 50 paise coins and Rs. 5 coins.
      A 3 Correct Answer Incorrect Answer
      B 7 Correct Answer Incorrect Answer
      C 8 Correct Answer Incorrect Answer
      D 4 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the number of 50 paise coins, Rs. 1 coins and Rs. 5 coins be 3x, 4x and 2x, respectively According to the question, 3x × 0.5 + 4x × 1 + 2x × 5 = 124 Or, 1.5x + 4x + 10x = 124 Or, 15.5x = 124 Or, x = 8 Required difference = 3x – 2x = x = 8

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