Subjects algebra

Percentage Increase 2971F8

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1. **State the problem:** The price of a train ticket increases from 754 to 799.24. We need to find the percentage increase. 2. **Formula:** The percentage increase is given by $$\text{Percentage Increase} = \left(\frac{\text{New Price} - \text{Original Price}}{\text{Original Price}}\right) \times 100$$ 3. **Substitute the values:** $$\text{Percentage Increase} = \left(\frac{799.24 - 754}{754}\right) \times 100$$ 4. **Calculate the difference:** $$799.24 - 754 = 45.24$$ 5. **Rewrite the fraction:** $$\frac{45.24}{754} \times 100$$ 6. **Simplify the fraction:** $$\frac{\cancel{45.24}}{\cancel{754}} \times 100 \approx 0.06 \times 100$$ 7. **Calculate the percentage:** $$0.06 \times 100 = 6.0\%$$ **Final answer:** The percentage increase is **6.0%**.