A bag has Rs 11 in the form of 1-rupee, 50-paise and 10-paise coins in the ratio of 4:2:5. Find the number of 50-paise coins.
- A10
- B8
- C4
- D2
Solution & Step-by-step Explanation
Let the number of 1-rupee, 50-paise, and 10-paise coins be 4k, 2k, and 5k respectively.
Convert the values of the coins into rupees:
Value of 1-rupee coins = 4k×1=4k
Value of 50-paise coins = 2k×0.50=1k
Value of 10-paise coins = 5k×0.10=0.5k
Total value in the bag is Rs 11:
4k+1k+0.5k=11
5.5k=11
k=
5.5
11
=2
The number of 50-paise coins is 2k:
Number of 50-paise coins=2×2=4
Convert the values of the coins into rupees:
Value of 1-rupee coins = 4k×1=4k
Value of 50-paise coins = 2k×0.50=1k
Value of 10-paise coins = 5k×0.10=0.5k
Total value in the bag is Rs 11:
4k+1k+0.5k=11
5.5k=11
k=
5.5
11
=2
The number of 50-paise coins is 2k:
Number of 50-paise coins=2×2=4