The cost of 1 pens is Rs 114 `1/4` find the cost of 19 pens

Answer

To find the cost of 19 pens when the cost of one pen is Rs 114 1/4, we can follow these steps:

### Step-by-Step Solution:

1. **Convert the mixed fraction to an improper fraction**:
The cost of one pen is given as Rs 114 1/4. We can convert this mixed number into an improper fraction.
\[ 114 \frac{1}{4} = \frac{(114 \times 4) + 1}{4} = \frac{456 + 1}{4} = \frac{457}{4} \]

2. **Calculate the cost of 19 pens**:
To find the total cost of 19 pens, we multiply the cost of one pen by 19.
\[ \text{Cost of 19 pens} = 19 \times \frac{457}{4} \]

3. **Perform the multiplication**:
We multiply 19 by 457.
\[ 19 \times 457 = 8683 \]

4. **Divide by 4**:
Now, we need to divide the result by 4 to get the total cost in rupees.
\[ \text{Total cost} = \frac{8683}{4} = 2170.75 \]

### Final Answer:
The cost of 19 pens is Rs 2170.75.

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