Question

A bag contains 50 paise,1 rupee and 2-rupee coins in the ratio 2: 3: 4. If the total amount is Rs 240. What will be the total number of coins?
A. 90
B. 162
C. 180
D. 225

Answer 1

Hint: Let us change the paise in rupee. Because the total amount is in Rupees. And then add the amount of all coins. Here we try to keep all quantities in a single variable.

Complete step-by-step answer:
As we know that 50-paise,1 rupee and 2-rupee coins are in the ratio 2: 3: 4. So,
Let the total 50-paise coins in the bag will be 2x.
So, the total 1-rupee coin in the bag will be 3x.
And the total 2-rupee coin in the bag will be 4x.
As we know that 1-rupee is equal to 100-paise.
So, two 50-paise coins will make 1 rupee.
So, 2x 50-paise coins will be equal to Rs. x.
And 4x 2-rupee coins will be equal to Rs. 8x.
As we know that total amount in the bag is Rs. 240.
So, (Rs x) + (Rs 3x) + (Rs 8x) = Rs. 240
Rs. (x + 3x + 8x) = Rs. 240
So, 12x = 240
Dividing both sides of the above equation by 12. We get,
x = 20
So, now 50-paise coins will be 2x = 2*20 = 40
1-rupee coins will be 3x = 3*20 = 60
And 2-rupee coins will be 4x = 4*20 = 80
So, the total number of coins in the bag will be 40 + 60 + 80 = 180.
Hence, the correct option will be C.

Note: Whenever we come up with this type of problem then first, we assume total coins of each type and after that find the total amount of money from each type of coin then we add them up to get the total amount. After that we will get the number of coins of each type by putting the value of x. This will be the easiest and most efficient way to find the solution of the problem.