To determine the VAT amount for an article whose price after applying a 20% VAT is Rs. 6000, we can follow these steps:
1. Understand the Problem:
- The given price of the article is Rs. 6000, which includes the VAT.
- The VAT rate is 20%.
2. Identify Known Values:
- Let the original price of the article before VAT be denoted as [tex]\( P \)[/tex].
- The VAT amount will be calculated as 20% of the original price [tex]\( P \)[/tex].
3. Set up the Equation:
- According to the problem, the final price after VAT is Rs. 6000.
- This can be written in the form of an equation: Final Price = Original Price + VAT
Given:
[tex]\[ 6000 = P + 0.20 \times P \][/tex]
The VAT is 20%, so it is:
[tex]\[ 0.20 \times P \][/tex]
4. Simplify the Equation:
- Combine like terms:
[tex]\[ 6000 = P + 0.20P \][/tex]
[tex]\[ 6000 = 1.20P \][/tex]
5. Solve for the Original Price [tex]\( P \)[/tex]:
- To find the original price before VAT, divide both sides of the equation by 1.20:
[tex]\[ P = \frac{6000}{1.20} \][/tex]
Thus:
[tex]\[ P = 5000 \][/tex]
6. Determine the VAT Amount:
- The VAT amount is 20% of the original price:
[tex]\[ VAT\ Amount = 0.20 \times 5000 \][/tex]
- Calculate the VAT amount:
[tex]\[ VAT\ Amount = 1000 \][/tex]
Therefore, the VAT amount is Rs. 1000.
The correct answer is:
a. Rs. 1000
