If 378 coins consist of rupees, 50 paise and 25 paise coins, whose values are In the ratio of `13 : 11 : 7`, the number of 50 paise coins will be :

Options

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

Answer

To solve the problem, we need to determine the number of 50 paise coins among the total of 378 coins, given that the values of the coins are in the ratio of 13:11:7 for rupees, 50 paise, and 25 paise coins respectively.

### Step-by-Step Solution:

1. **Understand the Ratios**:
The values of the coins are given in the ratio of 13:11:7. This means:
- Value of 1 Rupee coins = 13 parts
- Value of 50 Paise coins = 11 parts
- Value of 25 Paise coins = 7 parts

2. **Calculate the Total Parts**:
To find the total parts in the ratio, we add the parts together:
\[ \text{Total parts} = 13 + 11 + 7 = 31 \text{ parts} \]

3. **Determine the Value of Each Part**:
Since the total number of coins is 378, we can find the value of each part by dividing the total number of coins by the total parts:
\[ \text{Value of each part} = \frac{378}{31} = 12 \text{ coins per part} \]

4. **Calculate the Number of Each Type of Coin**:
Now, we can find the number of coins of each type:
- Number of 1 Rupee coins:
\[ 1 \text{ Rupee coins} = 13 \times 12 = 156 \text{ coins} \]
- Number of 50 Paise coins:
\[ 50 \text{ Paise coins} = 11 \times 12 = 132 \text{ coins} \]
- Number of 25 Paise coins:
\[ 25 \text{ Paise coins} = 7 \times 12 = 84 \text{ coins} \]

5. **Conclusion**:
The number of 50 paise coins is 132.

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

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