A bag contains a total of 105 coins of ` 1, 50 p and 25 p denominations. Find the total number of coins of re 1 if there are a total of 50.5 rupees in the bag and it is known that the number of 25 paise coins are 133.33% more than the number of 1 rupee coins.
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Step-by-step explanation:
number of 25 paise coins are 133.33% i.e 4/3 more than that of 1 rupee coins.
Let the number of 1 rupee coins be 3x
Then the number of 25 paise coins will be 7x
The number of 50 paise coins will be 105 - (10x)
1 rupee coins = 3x rupees = 300x paise
25 paise coins = 25(7x) = 175 paise
50 paise coins = [105-(10x)]50 = 5250 - 500x paise
Total amount 50.5 rupees = 5050 paise
5250 - 25x = 5050
Hence, x = 8.
total number of 1 rupee coins = 3x = 24
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