To find the original price of the stove before the price increase, we need to reverse the percentage increase that was applied.
Here is the step-by-step solution:
1. Define the given variables:
- Increased price: R7 950,00
- Increase percentage: 11.95%
2. Convert the percentage to a decimal:
[tex]\[
\text{Increase percentage} = \frac{11.95}{100} = 0.1195
\][/tex]
3. Use the formula to find the original price:
The increased price is given by:
[tex]\[
\text{Increased price} = \text{Original price} \times (1 + \text{Increase percentage})
\][/tex]
Therefore, the original price can be calculated by rearranging this formula:
[tex]\[
\text{Original price} = \frac{\text{Increased price}}{1 + \text{Increase percentage}}
\][/tex]
4. Substitute the given values into the formula:
[tex]\[
\text{Original price} = \frac{7950.00}{1 + 0.1195}
\][/tex]
[tex]\[
\text{Original price} = \frac{7950.00}{1.1195}
\][/tex]
5. Calculate the original price:
[tex]\[
\text{Original price} \approx \frac{7950.00}{1.1195} \approx 7101.4316
\][/tex]
6. Round the original price to the nearest R100.00:
[tex]\[
\text{Rounded original price} \approx 7100.00
\][/tex]
Therefore, the original price of the stove, rounded to the nearest R100.00, was approximately R7 100,00.
