John sold his T.V. set for Rs. 14100, losing 6%. For how much did he purchase it?

Answer

To find out how much John purchased the T.V. set for, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Selling Price (SP) = Rs. 14,100
- Loss Percentage = 6%

2. **Understand the Relationship:**
- We know that when there is a loss, the relationship between Cost Price (CP), Selling Price (SP), and Loss Percentage can be expressed as:
\[ CP = \frac{100}{100 - \text{Loss Percentage}} \times SP \]

3. **Substitute the Values:**
- Substitute the given values into the formula:
\[ CP = \frac{100}{100 - 6} \times 14,100 \]
- Simplify the denominator:
\[ CP = \frac{100}{94} \times 14,100 \]

4. **Calculate the Cost Price:**
- Now, calculate:
\[ CP = \frac{100 \times 14,100}{94} \]
- First, calculate \(100 \times 14,100 = 1,410,000\).
- Now divide by 94:
\[ CP = \frac{1,410,000}{94} \approx 15,000 \]

5. **Conclusion:**
- Therefore, the Cost Price (CP) of the T.V. set is Rs. 15,000.

### Final Answer:
John purchased the T.V. set for Rs. 15,000.

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