A bag contain 378 coins, Rs. 1, 50P and 25P. The ratio of there value is 13:11: 7. Then find the number of 50 P coins.

Options

A. 132
B. 130
C. 61
D. 65

Answer

To solve the problem step by step, we will use the information given in the question regarding the total number of coins and the ratio of their values.

### Step 1: Understand the given information
We have a total of 378 coins consisting of Rs. 1, 50P, and 25P coins. The ratio of their values is given as 13:11:7.

### Step 2: Set up the variables
Let:
- The number of Rs. 1 coins be \( 13x \)
- The number of 50P coins be \( 11x \)
- The number of 25P coins be \( 7x \)

### Step 3: Write the equation for total coins
According to the problem, the total number of coins is:
\[ 13x + 11x + 7x = 378 \]

### Step 4: Simplify the equation
Combine like terms:
\[ 31x = 378 \]

### Step 5: Solve for \( x \)
Now, divide both sides by 31:
\[ x = \frac{378}{31} = 12 \]

### Step 6: Calculate the number of each type of coin
Now that we have \( x \), we can find the number of each type of coin:
- Number of Rs. 1 coins:
\[ 13x = 13 \times 12 = 156 \]
- Number of 50P coins:
\[ 11x = 11 \times 12 = 132 \]
- Number of 25P coins:
\[ 7x = 7 \times 12 = 84 \]

### Step 7: Find the number of 50P coins
From our calculation, the number of 50P coins is:
\[ \text{Number of 50P coins} = 132 \]

### Final Answer
The number of 50P coins is **132**.

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