A bag contains five-rupee, one-rupee, 50-paise, and 25-paise coins in the ratio 3 : 5 : 6 : 8. If the total amount of money in the bag is ₹225. The number of coins of each kind in ascending order :
(A) No. of coins of 25 paise
(B) No. of coins of one rupee
(C) No. of coins of 50 paise
(D) No. of coins of five rupee
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (D), (B), (C), (A)
Let the numbers of coins be 3x, 5x, 6x and 8x. Their value in rupees is 3x(5) + 5x(1) + 6x(0.5) + 8x(0.25) = 15x + 5x + 3x + 2x = 25x. Setting 25x = 225 gives x = 9.
So there are 27 five-rupee coins, 45 one-rupee coins, 54 fifty-paise coins and 72 twenty-five-paise coins. In ascending order of number that is (D), (B), (C), (A).