A bag contains rupee, 50 paise, 25 paise and 10 paise coins in the proportion 1:3:5:7 if the amount is 22.25, find the number of coin each kind
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Solution :
The given proportion is 1 : 3 : 5 : 7
Let, x be the common multiple
Then, number of
- 1 rupee coins = x
- 50 paise coins = 3x
- 25 paise coins = 5x
- 10 paise coins = 7x
By the given condition,
(100 × x) + (50 × 3x) + (25 × 5x) + (10 × 7x) = 22.25 × 100
or, 100x + 150x + 125x + 70x = 2225
or, 445x = 2225
or, x = 5
Therefore, the number of
- 1 rupee coins = 5
- 50 paise coins = 15
- 25 paise coins = 25
- 10 paise coins = 35
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