Certainly! Let's work through the problem step-by-step to determine the VAT rate.
1. Identify the given information:
- Cost of the article with VAT: Rs. 4746
- Cost of the article without VAT: Rs. 4200
2. Calculate the VAT amount:
- The VAT amount is the difference between the cost with VAT and the cost without VAT.
[tex]\[
\text{VAT amount} = \text{Cost with VAT} - \text{Cost without VAT}
\][/tex]
[tex]\[
\text{VAT amount} = 4746 - 4200 = 546
\][/tex]
3. Calculate the VAT rate:
- The VAT rate is found by dividing the VAT amount by the cost without VAT and then converting it to a percentage by multiplying by 100.
[tex]\[
\text{VAT rate} = \left( \frac{\text{VAT amount}}{\text{Cost without VAT}} \right) \times 100
\][/tex]
[tex]\[
\text{VAT rate} = \left( \frac{546}{4200} \right) \times 100 = 13.0\%
\][/tex]
Therefore, the VAT rate is 13.0%.
