A bag has Rs 34.2 in the form of 1-rupee, 50-paise and 10-paise coins in the ratio of 3:5:2. Find the number of 50-paise coins.
- A30
- B12
- C18
- D6
Solution & Step-by-step Explanation
Let the number of 1-rupee, 50-paise, and 10-paise coins be 3x, 5x, and 2x respectively.
Convert the value of all coins into rupees:
Value of 1-rupee coins = 3x×1=3x
Value of 50-paise coins = 5x×0.50=2.5x
Value of 10-paise coins = 2x×0.10=0.2x
The total value in the bag is Rs 34.2:
3x+2.5x+0.2x=34.2
5.7x=34.2
x=
5.7
34.2
=6
The number of 50-paise coins is 5x:
Number of 50-paise coins=5×6=30
Convert the value of all coins into rupees:
Value of 1-rupee coins = 3x×1=3x
Value of 50-paise coins = 5x×0.50=2.5x
Value of 10-paise coins = 2x×0.10=0.2x
The total value in the bag is Rs 34.2:
3x+2.5x+0.2x=34.2
5.7x=34.2
x=
5.7
34.2
=6
The number of 50-paise coins is 5x:
Number of 50-paise coins=5×6=30