In a wallet ratio of 25 paise, 50 paise and Re 1 coins are in the ratio of 12:4:3, which amounts to Rs. 600. Find the no. of coins of 25 paise

Options

A. 200
B. 225
C. 275
D. None of these

Answer

To solve the problem step by step, we will follow these instructions:

### Step 1: Understand the Ratios
The coins are in the ratio of 25 paise : 50 paise : Re 1 = 12 : 4 : 3.

### Step 2: Calculate the Total Parts in the Ratio
Add the parts of the ratio together:
- Total parts = 12 + 4 + 3 = 19 parts.

### Step 3: Set Up the Equation for Total Amount
The total amount of money in the wallet is Rs. 600. We need to express this amount in terms of the parts of the ratio:
- Value of 25 paise coins = 12 parts
- Value of 50 paise coins = 4 parts
- Value of Re 1 coins = 3 parts

### Step 4: Convert the Coin Values to Rupees
Convert the values of each type of coin into rupees:
- 25 paise = 0.25 Rs
- 50 paise = 0.50 Rs
- Re 1 = 1 Rs

### Step 5: Write the Total Value Equation
Now, we can express the total value of the coins in terms of x (where x is the multiplier for the ratio):
- Total value = (12 * 0.25x) + (4 * 0.50x) + (3 * 1x) = 600

### Step 6: Simplify the Equation
Now, simplify the equation:
- (3x) + (2x) + (3x) = 600
- 8x = 600

### Step 7: Solve for x
Now, divide both sides by 8 to find x:
- x = 600 / 8
- x = 75

### Step 8: Find the Number of 25 Paise Coins
Now, we can find the number of 25 paise coins:
- Number of 25 paise coins = 12 parts * x = 12 * 75 = 900 coins.

### Final Answer
The number of 25 paise coins is **900**.

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