To solve the problem using the formula for Selling Price (SP) when there is a loss, we will follow these steps:
### Step-by-Step Solution:
1. **Understand the Formula**:
The formula for Selling Price (SP) when there is a loss is given by:
\[
SP = \left( \frac{100 - \text{loss\%}}{100} \right) \times CP
\]
where:
- SP = Selling Price
- loss% = Percentage of loss
- CP = Cost Price
2. **Identify the Values**:
Let's assume:
- Cost Price (CP) = 8 rupees
- Loss Percentage (loss%) = 2%
3. **Substitute the Values into the Formula**:
Now, we will substitute the values into the formula:
\[
SP = \left( \frac{100 - 2}{100} \right) \times 8
\]
4. **Calculate the Loss Percentage**:
First, calculate \(100 - 2\):
\[
100 - 2 = 98
\]
5. **Calculate the Fraction**:
Now, calculate the fraction:
\[
\frac{98}{100} = 0.98
\]
6. **Multiply by the Cost Price**:
Now, multiply this fraction by the Cost Price (CP):
\[
SP = 0.98 \times 8
\]
7. **Final Calculation**:
Now, calculate \(0.98 \times 8\):
\[
SP = 7.84
\]
### Conclusion:
The Selling Price (SP) at which the product should be sold to incur a 2% loss on a Cost Price of 8 rupees is **7.84 rupees**.
---
Topper's Solved these Questions
PROFIT AND LOSS
RS AGGARWAL|Exercise TEST PAPER - 10 (C) (Fill in the blanks:)|4 Videos