If 372 coins-consist.of one rupee, 50 paise and 25 paise coins whose values are in the ratio 13:11:7, then the number of 50 paise coins will be

Options

A. 132
B. 128
C. 136
D. 133

Answer

To solve the problem step by step, we will follow the reasoning provided in the video transcript.

### Step-by-Step Solution:

1. **Understanding the Problem**:
We have three types of coins: 1 rupee, 50 paise, and 25 paise. Their values are in the ratio of 13:11:7. We also know that the total number of coins is 372.

2. **Assign Variables**:
Let the number of 1 rupee coins be \( 13x \), the number of 50 paise coins be \( 11x \), and the number of 25 paise coins be \( 7x \).

3. **Set Up the Equation**:
The total number of coins can be expressed as:
\[ 13x + 11x + 7x = 372 \]

4. **Combine Like Terms**:
Combine the terms on the left side:
\[ 31x = 372 \]

5. **Solve for \( x \)**:
Divide both sides by 31 to find \( x \):
\[ x = \frac{372}{31} = 12 \]

6. **Calculate the Number of 50 Paise Coins**:
Now, substitute \( x \) back to find the number of 50 paise coins:
\[ \text{Number of 50 paise coins} = 11x = 11 \times 12 = 132 \]

7. **Final Answer**:
Therefore, the number of 50 paise coins is \( 132 \).