A bag contains one-rupee, 50-paise and 25-paise coins in the ratio 5 : 6 : 8. If the total amount of money in the bag is ₹250, find the numbers of 50 p coins in a bag?

Let the number of 1-rupee coins, 50-paise coins, and 25-paise coins in the bag be 5x, 6x, and 8x respectively, where x is a common factor.

The total value of the coins is ₹250.

The value of 1-rupee coins = 5x × 1 = 5x rupees.

The value of 50-paise coins = 6x × 0.50 = 3x rupees.

The value of 25-paise coins = 8x × 0.25 = 2x rupees.

The total value is the sum of all these values:

5x + 3x + 2x = 250

10x = 250

x = 25

Number of 50-paise coins = 6 × 25 = 150