Tanvy bought a watch for Rs. 1980 including VAT at 10%. Find the original price of the watch.

Answer

To find the original price of the watch that Tanvy bought for Rs. 1980 including VAT at 10%, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**:
- Tanvy bought a watch for Rs. 1980, which includes a VAT of 10%. We need to find the original price of the watch before VAT was added.

2. **Identify the Sale Price and VAT Rate**:
- Sale Price (including VAT) = Rs. 1980
- VAT Rate = 10%

3. **Use the Formula for Original Price**:
- The formula to find the original price (OP) when you have the sale price (SP) including VAT is:
\[ OP = \frac{SP \times 100}{100 + \text{VAT Rate}} \]

4. **Substitute the Values into the Formula**:
- Here, SP = 1980 and VAT Rate = 10.
- Substitute these values into the formula:
\[ OP = \frac{1980 \times 100}{100 + 10} \]
\[ OP = \frac{1980 \times 100}{110} \]

5. **Calculate the Original Price**:
- First, calculate \(1980 \times 100 = 198000\).
- Next, divide by 110:
\[ OP = \frac{198000}{110} = 1800 \]

6. **Conclusion**:
- The original price of the watch before VAT was added is Rs. 1800.

### Final Answer:
The original price of the watch is Rs. 1800.

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