Rohit purchased a pair of shoes for Rs. 882 inclusive of VAT. If the original cost be Rs.840 find rate of VAT.

Answer

To find the rate of VAT on the shoes purchased by Rohit, we can follow these steps:

### Step 1: Identify the given values
- Price inclusive of VAT (Selling Price, SP) = Rs. 882
- Original cost (Cost Price, CP) = Rs. 840

### Step 2: Calculate the VAT amount
To find the VAT amount, we subtract the original cost from the price inclusive of VAT.

\[ \text{VAT Amount} = \text{Selling Price} - \text{Cost Price} \]
\[ \text{VAT Amount} = 882 - 840 = 42 \]

### Step 3: Calculate the VAT rate
The VAT rate can be calculated using the formula:

\[ \text{VAT Rate} = \left( \frac{\text{VAT Amount}}{\text{Cost Price}} \right) \times 100 \]
Substituting the values we have:

\[ \text{VAT Rate} = \left( \frac{42}{840} \right) \times 100 \]

### Step 4: Simplify the calculation
Now we simplify the fraction:

\[ \text{VAT Rate} = \left( \frac{42}{840} \right) \times 100 = 0.05 \times 100 = 5\% \]

### Final Answer
The rate of VAT is **5%**.

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