Given: An amount of Rs. 107.25 is made up of 100p, 50p and 25p coins
The number of coins being in the ratio 5 : 6 : 7
Calculation: Ratio of coins = 5 : 6 : 7
Value of coins = 100p, 50p, 25p
Collection ratio = 500 : 300 : 175 = 20 : 12 : 7
Sum of ratio = 20 + 12 + 7
Value of 100p coins
=()×107.25= Rs. 55
⇒ Number of 100p coins i.e. Re.1 coin = 55
⇒ Value of 50p coins
=×107.25= Rs. 33
⇒ Number of 50p coins = 33 × 2 = 66
⇒ Value of 25p coins
=×107.25= Rs. 19.25
⇒ Thus number of 25p coins = 19.25 × 4 = 77
∴ Total number of coins = 55 + 66 + 77 = 198.