A bag has Rs 20 in the form of 1-rupee, 50-paise and 10-paise coins in the ratio of 2:3:5. Find the number of 50-paise coins.
- A25
- B10
- C15
- D5
Solution & Step-by-step Explanation
Let the number of 1-rupee, 50-paise, and 10-paise coins be 2x, 3x, and 5x respectively.
Convert the value of each denomination into rupees:
Value of 1-rupee coins = 2x×1=2x
Value of 50-paise coins = 3x×0.50=1.5x
Value of 10-paise coins = 5x×0.10=0.5x
The total value of the coins is given as Rs 20:
2x+1.5x+0.5x=20
4x=20
x=5
The number of 50-paise coins is 3x:
Number of 50-paise coins=3×5=15
Convert the value of each denomination into rupees:
Value of 1-rupee coins = 2x×1=2x
Value of 50-paise coins = 3x×0.50=1.5x
Value of 10-paise coins = 5x×0.10=0.5x
The total value of the coins is given as Rs 20:
2x+1.5x+0.5x=20
4x=20
x=5
The number of 50-paise coins is 3x:
Number of 50-paise coins=3×5=15