A bag contains 50 paise, 25 paise and 10 paise coins and the ratio of the numbers of coins is4 : 5 : 9. If the total value of all the coins is R830, then find the number of 25 paise coins inthe bag. 

Correct option is B

Let's solve this step by step.

Step 1: Define variables

Let the number of 50 paise, 25 paise, and 10 paise coins be 4x, 5x, and 9x, respectively.

Step 2: Calculate total value

• The total value of 50 paise coins = ($$4x \times 50$$​) = 200x paise
• The total value of 25 paise coins = ($$5x \times 25$$​) = 125x paise
• The total value of 10 paise coins = ($$9x \times 10$$​) = 90x paise

The total value of all the coins is given as R830 (or 83000 paise, since 1 Rupee = 100 paise).
So, we set up the equation:
​$$200x + 125x + 90x = 83000$$​​

​$$415x = 83000$$​​

Step 3: Solve for x

​$$x = \frac{83000}{415} = 200$$​​

Step 4: Find the number of 25 paise coins

​$$5x = 5 \times 200 = 1000$$​​

Thus, the number of 25 paise coins in the bag is 1000.

Final Answer: (B) 1000