A purse contains coins of 2 Rupees, 1 Rupee, 50 paise and 25 paise in the ratio 1:2:4:8. If the total amount is Rs.600, then the number of 25 paise coins exceeding those of 50 paise coins is :
A300
B200
C100
D400
Answer:
A. 300
Read Explanation:
the number of 2 Rupees, 1 Rupee, 50 paise, and 25 paise coins is in the ratio 1:2:4:8.
- Let the number of 2 Rupee coins be x
- The number of 1 Rupee coins will be 2x
- The number of 50 paise coins will be 4x
- The number of 25 paise coins will be 8x
Now, let's calculate the total amount using these quantities:
- The total value of 2 Rupee coins = 2 X x
- The total value of 1 Rupee coins = 1 X 2x = 2x
- The total value of 50 paise coins = 0.50 X 4x = 2x
- The total value of 25 paise coins = 0.25 X 8x = 2x
The total amount of money is given as Rs.600, so:
2x + 2x + 2x + 2x = 600
8x = 600
x = 600/8 = 75
Now, using x = 75, let's calculate the number of coins:
- The number of 2 Rupee coins = x = 75
- The number of 1 Rupee coins = 2x = 150
- The number of 50 paise coins = 4x = 300
- The number of 25 paise coins = 8x = 600
Excess number of 25 paise coins = 600 - 300 = 300
