1. **Stating the problem:** Calculate the sale price when the original price is 230 and the sale price is 92.
2. **Formula used:** The absolute change is calculated as $$\text{Absolute change} = \text{New value} - \text{Original value}$$
The percentage change is calculated as $$\text{Percentage change} = \frac{\text{Absolute change}}{\text{Original value}} \times 100\%$$
3. **Calculate absolute change:**
$$\text{Absolute change} = 92 - 230 = -138$$
4. **Calculate percentage change:**
$$\text{Percentage change} = \frac{-138}{230} \times 100\% = -60\%$$
5. **Interpretation:** The sale price is a 60% decrease from the original price.
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**Next, complete the missing percentage changes in the table:**
- For 75 to 40:
- Absolute change: $$40 - 75 = -35$$
- Percentage change: $$\frac{-35}{75} \times 100\% = -46.7\%$$ (decrease)
- For 36 to 100:
- Absolute change: $$100 - 36 = 64$$
- Percentage change: $$\frac{64}{36} \times 100\% = 177.8\%$$ (increase)
- For 43 to 12:
- Absolute change: $$12 - 43 = -31$$
- Percentage change: $$\frac{-31}{43} \times 100\% = -72.1\%$$ (decrease)
- For 90 to 234:
- Absolute change: $$234 - 90 = 144$$
- Percentage change: $$\frac{144}{90} \times 100\% = 160\%$$ (increase)
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**Finally, solve the flowchart problem:**
- Start with 600.
- Increase by 40%:
$$600 + 0.40 \times 600 = 600 + 240 = 840$$
- Decrease by 10%:
$$840 - 0.10 \times 840 = 840 - 84 = 756$$
- Decrease by 50%:
$$756 - 0.50 \times 756 = 756 - 378 = 378$$
**Final value after all changes is 378.**
Percentage Changes 78Fd86
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