A bag contains 50 paisa, 1 rupee and 2 rupee coins in the ratio 2:5:8. If the total amount is Rs. 352, find the total number of coins in the bag?
A bag contains 50 paisa, 1 rupee and 2 rupee coins in the ratio 2:5:8. If the total amount is Rs. 352, find the total number of coins in the bag?
Explanation
Given ratio: 50 paisa:1 rupee:2 rupee = 2:5:8
Let's assume the number of coins of each denomination are:
50 paisa = 2x
1 rupee = 5x
2 rupee = 8x
Total amount = Rs. 352
The value of coins is:
50 paisa coins = 2x * 0.50 = Rs. x
1 rupee coins = 5x * 1.00 = Rs. 5x
2 rupee coins = 8x * 2.00 = Rs. 16x
Adding these values, we get:
x + 5x + 16x = 352
Combine like terms:
22x = 352
Divide by 22:
x = 16
Now, find the total number of coins:
50 paisa coins = 2x = 2(16) = 32
1 rupee coins = 5x = 5(16) = 80
2 rupee coins = 8x = 8(16) = 128
Total number of coins = 32 + 80 + 128 = 240
So, the correct answer is: 240