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      Question

      A bag contains certain number of coins of different

      denominations. The ratio of the number of Rs. 1 coins to Rs. 2 coins is 3 : 2, respectively and the ratio of number of Rs. 2 coins to Rs. 5 coins is 2 : 9 respectively. Find the total value of the Rs. 5 coins, if the total value of the Rs. 1 coins in the bag is Rs. 39.
      A Rs. 455 Correct Answer Incorrect Answer
      B Rs. 520 Correct Answer Incorrect Answer
      C Rs. 565 Correct Answer Incorrect Answer
      D Rs. 585 Correct Answer Incorrect Answer
      E Rs. 605 Correct Answer Incorrect Answer

      Solution

      Ratio of the number of coins of denominations Rs. 1 : Rs. 2 : Rs. 5 = 3 : 2 : 9
      Let, the number of coins of Rs. 1, Rs. 2 and Rs. 5 in the bag be 3x, 2x and 9x.
      Since, the total value of Rs. 1 coins in the bag is Rs. 39
      So, the number of coins of Rs. 1 in a bag = 39
      3x = 39, x = 13
      Therefore, number of Rs. 5 coins in the bag 9x = 117
      So, required value of Rs. 5 coins = 9 × 13 × 5 = Rs. 585 

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