To find the cost of 465 steel almirahs when the cost of one almirah is Rs. 22,875, we will perform the following steps:
### Step-by-Step Solution
1. **Identify the cost of one almirah**:
- The cost of one steel almirah is given as Rs. 22,875.
2. **Identify the number of almirahs**:
- We need to find the cost for 465 almirahs.
3. **Set up the multiplication**:
- To find the total cost, we multiply the cost of one almirah by the number of almirahs:
\[
\text{Total Cost} = \text{Cost of one almirah} \times \text{Number of almirahs}
\]
\[
\text{Total Cost} = 22,875 \times 465
\]
4. **Perform the multiplication**:
- We will multiply 22,875 by 465 step by step.
- **Multiply the last digit (5)**:
- \( 5 \times 5 = 25 \) (write 5, carry 2)
- \( 5 \times 7 = 35 + 2 = 37 \) (write 7, carry 3)
- \( 5 \times 8 = 40 + 3 = 43 \) (write 3, carry 4)
- \( 5 \times 2 = 10 + 4 = 14 \) (write 4, carry 1)
- \( 5 \times 2 = 10 + 1 = 11 \) (write 11)
- Result from this step: 114375
- **Multiply the second last digit (6)** (shift one position to the left):
- \( 6 \times 5 = 30 \) (write 0, carry 3)
- \( 6 \times 7 = 42 + 3 = 45 \) (write 5, carry 4)
- \( 6 \times 8 = 48 + 4 = 52 \) (write 2, carry 5)
- \( 6 \times 2 = 12 + 5 = 17 \) (write 7, carry 1)
- \( 6 \times 2 = 12 + 1 = 13 \) (write 13)
- Result from this step: 137250 (shifted left)
- **Multiply the first digit (4)** (shift two positions to the left):
- \( 4 \times 5 = 20 \) (write 0, carry 2)
- \( 4 \times 7 = 28 + 2 = 30 \) (write 0, carry 3)
- \( 4 \times 8 = 32 + 3 = 35 \) (write 5, carry 3)
- \( 4 \times 2 = 8 + 3 = 11 \) (write 1, carry 1)
- \( 4 \times 2 = 8 + 1 = 9 \) (write 9)
- Result from this step: 91500 (shifted two positions to the left)
5. **Add the results**:
- Now, we will add all the results together:
\[
\begin{array}{r}
\quad 114375 \\
+ \quad 1372500 \\
+ \quad 9150000 \\
\hline
= 10636875
\end{array}
\]
6. **Final Result**:
- The total cost of 465 almirahs is Rs. 10,636,875.
