Aprpan sells a washing machiine for Rs 14,875. He loses `15%` in the bargain. What was the price at which he bought it?

Answer

To find the cost price of the washing machine that Aprpan sold for Rs 14,875 with a loss of 15%, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Selling Price and Loss Percentage:**
- Selling Price (SP) = Rs 14,875
- Loss Percentage (LP) = 15%

2. **Understand the Relationship Between Cost Price and Selling Price:**
- When there is a loss, the Selling Price is less than the Cost Price. The relationship can be expressed as:
\[ \text{Cost Price (CP)} = \frac{100}{100 - \text{Loss Percentage}} \times \text{Selling Price} \]

3. **Substitute the Values into the Formula:**
- Here, we substitute the values into the formula:
\[ \text{CP} = \frac{100}{100 - 15} \times 14,875 \]
- This simplifies to:
\[ \text{CP} = \frac{100}{85} \times 14,875 \]

4. **Calculate the Fraction:**
- Calculate \( \frac{100}{85} \):
\[ \frac{100}{85} = \frac{20}{17} \]

5. **Multiply by the Selling Price:**
- Now, multiply \( \frac{20}{17} \) by 14,875:
\[ \text{CP} = \frac{20}{17} \times 14,875 \]

6. **Perform the Multiplication:**
- First, calculate \( 14,875 \div 17 \):
\[ 14,875 \div 17 = 875 \]
- Then multiply by 20:
\[ 20 \times 875 = 17,500 \]

7. **Conclusion:**
- Therefore, the Cost Price of the washing machine is Rs 17,500.

### Final Answer:
The cost price at which Aprpan bought the washing machine is **Rs 17,500**.

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