There are 20 dozen shirts , 15 Dozen pants and 25 Dozen a pair of socks in rajesh 's shop , if the cost of a shrit , a pant and a pair of socks are respectivley Rs. 60, Rs. 110 and Rs. 25, ,then find the total selling price of these things.

Explanation

To find the total selling price of the shirts, pants, and socks in Rajesh's shop, we can follow these steps:

### Step 1: Calculate the total number of each item
- **Shirts**: There are 20 dozen shirts.
\[ \text{Total shirts} = 20 \times 12 = 240 \]

- **Pants**: There are 15 dozen pants.
\[ \text{Total pants} = 15 \times 12 = 180 \]

- **Socks**: There are 25 dozen pairs of socks.
\[ \text{Total socks} = 25 \times 12 = 300 \]

### Step 2: Represent the quantities in a matrix
We can represent the quantities of shirts, pants, and socks in a row matrix \( C \):
\[ C = \begin{bmatrix} 240 & 180 & 300 \end{bmatrix} \]

### Step 3: Represent the prices in a matrix
The prices of a shirt, pant, and pair of socks can be represented in a column matrix \( P \):
\[ P = \begin{bmatrix} 60 \\ 110 \\ 25 \end{bmatrix} \]

### Step 4: Calculate the total selling price
To find the total selling price, we need to perform the matrix multiplication \( C \times P \):
\[ \text{Total Selling Price} = C \times P = \begin{bmatrix} 240 & 180 & 300 \end{bmatrix} \times \begin{bmatrix} 60 \\ 110 \\ 25 \end{bmatrix} \]

Calculating each term:
1. For shirts:
\[ 240 \times 60 = 14400 \]

2. For pants:
\[ 180 \times 110 = 19800 \]

3. For socks:
\[ 300 \times 25 = 7500 \]

### Step 5: Sum the total selling prices
Now, we add the individual selling prices:
\[ \text{Total Selling Price} = 14400 + 19800 + 7500 \]

Calculating the sum:
\[ 14400 + 19800 = 34200 \]
\[ 34200 + 7500 = 41700 \]

### Final Answer
The total selling price of the shirts, pants, and socks is:
\[ \text{Total Selling Price} = \text{Rs. } 41700 \]

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