6 dozen eggs are bought for RS 108,How much will 132 eggs cost?

Options

A. Rs 204
B. Rs 264
C. Rs 184
D. Rs 198

Answer

To solve the problem step by step, let's break it down:

### Step 1: Understand the given information
We know that:
- 6 dozen eggs cost Rs 108.
- We need to find the cost of 132 eggs.

### Step 2: Convert dozens to individual eggs
1 dozen = 12 eggs. Therefore, 6 dozen eggs can be calculated as:
\[ 6 \text{ dozen} = 6 \times 12 = 72 \text{ eggs} \]

### Step 3: Find the cost of one egg
Now that we know the cost of 72 eggs is Rs 108, we can find the cost of one egg by dividing the total cost by the number of eggs:
\[ \text{Cost of one egg} = \frac{108 \text{ Rs}}{72 \text{ eggs}} \]

### Step 4: Simplify the fraction
To simplify:
\[ \frac{108}{72} = \frac{108 \div 36}{72 \div 36} = \frac{3}{2} = 1.5 \text{ Rs per egg} \]

### Step 5: Calculate the cost of 132 eggs
Now that we have the cost of one egg, we can find the cost of 132 eggs by multiplying the cost of one egg by 132:
\[ \text{Cost of 132 eggs} = 132 \times 1.5 \]

### Step 6: Perform the multiplication
Calculating:
\[ 132 \times 1.5 = 198 \text{ Rs} \]

### Conclusion
Thus, the cost of 132 eggs is Rs 198.

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