A bag contains ₹10, ₹5, and ₹2 coins in the ratio 1 : 2 : 3. If the total amount of money in the bag is ₹390, find the number of coins of each kind.

Correct option is B

Given :

₹10, ₹5, and ₹2 coins are in the ratio
1 : 2 : 3
Total amount of money = ₹390

Formula Used :
​$$\text{Total amount} = (\text{Number of coins}) \times (\text{Value of each coin})$$​​

Solution :

Let the numbers of ₹10, ₹5, and ₹2 coins be:
x, 2x, 3x respectively

Total amount:
10x + 5(2x) + 2(3x)
= 10x + 10x + 6x
= 26x

Given total amount = 390:
26x = 390

x = 15
Number of coins :

₹10 coins = x = 15

₹5 coins = 2x = 30

₹2 coins = 3x = 45