Rs 180 contained in a box consists of Rs1, 150 paise and 25 paise coin in the ratio of 2:3:4. What is the number of 50 paise coin

To find the number of 50 paise coins, we need to first determine the total value of the coins in the box.

Given that the ratio of Rs1, 150 paise, and 25 paise coins is 2:3:4, we can assign values to these coins as follows:

• Rs1 coin: 2x
• 150 paise coin: 3x
• 25 paise coin: 4x

To convert the paise values to rupees, we divide them by 100:

• 150 paise coin = 150/100 = 1.5 rupees
• 25 paise coin = 25/100 = 0.25 rupees

Now, we can calculate the total value of the coins: Total value = (2x * 1) + (3x * 1.5) + (4x * 0.25)

Given that the total value is Rs 180, we can set up the equation: (2x * 1) + (3x * 1.5) + (4x * 0.25) = 180

Simplifying the equation: 2x + 4.5x + x = 180 7.5x = 180 x = 180/7.5 x = 24

Now, we can find the number of 50 paise coins: Number of 50 paise coins = 4x = 4 * 24 = 96

Therefore, the number of 50 paise coins in the box is 96.