A bag contains coins of 1 rupee, 0.5 rupee and 0.25 rupee in the ratio of 5: 6: 8. If the total amount of money in the bag is ₹420,find the number of coins of type1 rupee, 0.5 rupee and 0.25 rupee are:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 210, 252, 336.
Ratio of coins (1 rupee : 0.5 rupee : 0.25 rupee) = 5 : 6 : 8
Let Number of 1 rupee coins = 5x, Amount = 5x × 1 = 5x
Number of 0.5 rupee coins = 6x, Amount = 6x × 0.5 = 3x
Number of 0.25 rupee coins = 8x, Amount = 8x × 0.25 = 2x
So, 5x + 3x + 2x = 420
⇒ 10x = 420
⇒ x = 42
Number of 1 rupee coins = 5 × 42 = 210
Number of 0.5 rupee coins = 6 × 42 = 252
Number of 0.25 rupee coins = 8 × 42 = 336