Rakesh has coins in the denominations of only ₹2 and ₹5 with him. If the total number of coins that he has is 60 and the amount of money with him is ₹240, then find the number of ₹2 and ₹5 coins respectively.

Correct option is B

Given:

Rakesh has only ₹2 and ₹5 coins.

Total number of coins = 60

Total amount of money = ₹240

Solution:

Let 'x' be the number of ₹2 coins and 'y' be the number of ₹5 coins.

Equation 1 (total number of coins): x + y = 60

Equation 2 (total amount of money): 2x + 5y = 240

From Equation 1: y = 60 - x

Substitute this into Equation 2: 2x + 5(60 - x) = 240

2x + 300 - 5x = 240

-3x = -60

x = 20

Substitute x = 20 back into Equation 1: 20 + y = 60 => y = 40

Therefore, Rakesh has 20, ₹2 coins and 40, ₹5 coins.

Option (B) is right.