show every step, very step by step, like this

2(2+2)-3 =a
2(4)-3 = a
8-3=a
a = 5

Sure, I'll break down the solution step-by-step in a similar format.

### Step-by-Step Solution

1. **Define variables:**
   - Let \( CP \) be the Cost Price.
   - Let \( MP \) be the Marked Price.
   - Let \( SP \) be the Selling Price before VAT.
   - Given Selling Price including VAT (\( SP_{\text{VAT}} \)) = Rs. 6328.

2. **Express MP in terms of CP:**
   \[
   MP = CP \times 1.40
   \]
   (Marked price is 40% above the cost price)

3. **Express SP in terms of MP:**
   \[
   SP = MP \times 0.80
   \]
   (Selling price after a 20% discount)

4. **Express SP_{\text{VAT}} in terms of SP:**
   \[
   SP_{\text{VAT}} = SP \times 1.13
   \]
   (Including 13% VAT, where 13% is 0.13, and thus multiplying by 1.13)

5. **Given \( SP_{\text{VAT}} \):**
   \[
   SP_{\text{VAT}} = 6328
   \]

6. **Find SP:**
   \[
   SP \times 1.13 = 6328
   \]
   \[
   SP = \frac{6328}{1.13}
   \]
   Calculate:
   \[
   SP \approx 5600
   \]

7. **Find MP:**
   \[
   SP = MP \times 0.80
   \]
   \[
   MP = \frac{SP}{0.80}
   \]
   \[
   MP = \frac{5600}{0.80}
   \]
   Calculate:
   \[
   MP = 7000
   \]

8. **Find CP:**
   \[
   MP = CP \times 1.40
   \]
   \[
   CP = \frac{MP}{1.40}
   \]
   \[
   CP = \frac{7000}{1.40}
   \]
   Calculate:
   \[
   CP = 5000
   \]

### Final Answer
- Cost Price (CP) = Rs. 5000
- Marked Price (MP) = Rs. 7000

Would you like more details or have any questions about this solution?

### Relative Questions
1. How is the concept of marked price used in business pricing strategies?
2. What is the impact of VAT on the selling price of goods?
3. How can discounts affect the final selling price?
4. What are the typical percentages used for marking up prices in retail?
5. How does the inclusion of taxes influence consumer purchasing decisions?
6. Can you explain how to derive the selling price after discount and VAT from the cost price directly?
7. What are some common methods for calculating discounts in retail?
8. How do businesses decide on the percentage for VAT inclusion in their pricing?

### Tip
When performing multi-step calculations involving percentages, it's helpful to write out each intermediate step to ensure accuracy and clarity.

Learn how to solve the arithmetic expression 2(2+2)-3 step-by-step with detailed explanations. This problem involves arithmetic operations and the order of operations rule. Suitable for Grade 6 students.

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