The cost of a book is Rs `(8p +4q)` cost of a note book is Rs `(5p - 2q)` and cost of a pen is Rs `(2p -2q)`. What is the total cost (in Rs) of all three items?

Options

A. 15 q
B. `15p + 2q`
C. 15p
D. 15p - 2q

Answer

To find the total cost of the book, notebook, and pen, we will add their costs together. Let's break it down step by step:

1. **Identify the costs of each item:**
- Cost of the book = Rs `(8p + 4q)`
- Cost of the notebook = Rs `(5p - 2q)`
- Cost of the pen = Rs `(2p - 2q)`

2. **Write the expression for total cost:**
The total cost (T) can be expressed as:
\[ T = (8p + 4q) + (5p - 2q) + (2p - 2q) \]

3. **Combine the like terms:**
We will group the terms with the same variable together:
- For the terms with `p`: \(8p + 5p + 2p\)
- For the terms with `q`: \(4q - 2q - 2q\)

4. **Calculate the sum of the `p` terms:**
\[ 8p + 5p + 2p = (8 + 5 + 2)p = 15p \]

5. **Calculate the sum of the `q` terms:**
\[ 4q - 2q - 2q = (4 - 2 - 2)q = 0q \]

6. **Combine the results:**
The total cost simplifies to:
\[ T = 15p + 0q = 15p \]

Thus, the total cost of all three items is Rs `15p`.