Given : value of ₹5 coin =₹360
The total no. of ₹5 coins=₹360/5
=72
Let the total no. of ₹10 coins be =x
ATQ:- 8:15::72:x
8/15 =72/x
8x= 15(72)
8x= 1080
x= 1080/3
x= 135
The no of ₹10 coins is 135

The given problem involves finding the number of ₹10 coins based on the ratio of ₹5 coins and the value of ₹5 coins. Let's solve the problem step by step.

Step 1: Understand the given information.
- The ratio of the number of ₹5 coins to ₹10 coins is 8:15.
- The value of ₹5 coins is 360.

Step 2: Determine the value of ₹10 coins.
To find the value of ₹10 coins, we need to know the value of one ₹10 coin. Let's assume the value of one ₹10 coin is 'x'.

Step 3: Set up equations based on the given information.
- The ratio of the number of ₹5 coins to ₹10 coins is 8:15. This can be written as:
Number of ₹5 coins / Number of ₹10 coins = 8/15

- The value of ₹5 coins is 360. Since the value of one ₹5 coin is ₹5, we can write:
Number of ₹5 coins * Value of one ₹5 coin = 360

- The value of ₹10 coins can be expressed as:
Number of ₹10 coins * Value of one ₹10 coin = ?

Step 4: Solve the equations.
- From the ratio equation, we can rewrite it as:
Number of ₹5 coins = (8/15) * Number of ₹10 coins

- Substitute the value of the number of ₹5 coins in the value equation:
(8/15) * Number of ₹10 coins * Value of one ₹5 coin = 360

- Simplify the equation:
Number of ₹10 coins * Value of one ₹10 coin = 360 * (15/8)

Step 5: Calculate the value of ₹10 coins.
- We know that the value of ₹5 coins is ₹360. So, let's substitute the value:
Number of ₹10 coins * Value of one ₹10 coin = 360 * (15/8)

- Simplify the equation:
Number of ₹10 coins * Value of one ₹10 coin = 675

Step 6: Solve for the number of ₹10 coins.
- Divide both sides of the equation by the value of one ₹10 coin:
Number of ₹10 coins = 675 / Value of one ₹10 coin

- Substituting the value of one ₹10 coin as 'x':
Number of ₹10 coins = 675 / x

So, the number of ₹10 coins will be 675 divided by the value of one ₹10 coin.