Rajan bought a watch for Rs.1870 including VAT at 10%. Find the original price of the watch.

Answer

To find the original price of the watch before VAT was added, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Information**:
- The total price paid by Rajan for the watch is Rs. 1870.
- This total includes a VAT of 10%.

2. **Let the Original Price be 'P'**:
- The original price of the watch before VAT is added is denoted as 'P'.

3. **Calculate the VAT Amount**:
- Since the VAT is 10% of the original price, we can express this as:
\[ \text{VAT} = 10\% \text{ of } P = \frac{10}{100} \times P = 0.1P \]

4. **Set Up the Equation**:
- The total price paid (including VAT) can be expressed as:
\[ \text{Total Price} = \text{Original Price} + \text{VAT} \]
- Substituting the values we have:
\[ 1870 = P + 0.1P \]

5. **Combine Like Terms**:
- Combine the terms on the right side:
\[ 1870 = 1P + 0.1P = 1.1P \]

6. **Solve for 'P'**:
- To find the original price, divide both sides by 1.1:
\[ P = \frac{1870}{1.1} \]

7. **Calculate the Value**:
- Performing the division:
\[ P = 1700 \]

8. **Conclusion**:
- The original price of the watch before VAT was added is Rs. 1700.

### Final Answer:
The original price of the watch is Rs. 1700.