Final answer:
By establishing the common ratio and calculating the total value contributed by each coin type, we found that there are 180 coins of 50 paisa in the bag, which corresponds to Option A.
Step-by-step explanation:
To find the number of 50 paisa coins in the bag, we first need to understand the ratio and the total amount. The ratio of one rupee, 50 paisa, and 25 paisa coins is 3:6:8. The total amount is Rs. 240. Since 100 paisa make one rupee, we can see that 2 coins of 50 paisa make one rupee and 4 coins of 25 paisa make one rupee.
Let the common ratio multiplier be 'x'. Hence, we have 3x rupees from one rupee coins, (6x * 50)/100 rupees from 50 paisa coins, and (8x * 25)/100 rupees from 25 paisa coins. The total amount in terms of x is:
3x + (3x) + (2x) = 240 rupees
8x = 240 rupees
x = 240 / 8
x = 30
Therefore, the number of 50 paisa coins is 6x = 6 * 30 = 180 coins.
So, the answer is Option A: 180 50 paisa coins.