In July the price of a holiday is £500.
In August the price increases by 25%.
In September the price drops to £500 again.

Work out the percentage decrease from the August price to the September price.


Let's calculate the percentage decrease from the August price to the September price.

1. **August Price Calculation:**
   - The original price in July is £500.
   - In August, the price increases by 25%.
   - August price = £500 + (25% of £500) 
   - \( = £500 + (0.25 \times £500) \) 
   - \( = £500 + £125 = £625 \)

2. **September Price:**
   - The September price is given as £500.

3. **Percentage Decrease Calculation:**
   - The decrease in price from August to September is \( £625 - £500 = £125 \).
   - Percentage decrease = \( \left(\frac{£125}{£625}\right) \times 100 \)
   - \( = \frac{125}{625} \times 100 \)
   - \( = 0.2 \times 100 \)
   - \( = 20\% \)

So, the percentage decrease from the August price to the September price is **20%**.

Would you like more details, or have any other questions?

Here are five related questions:

1. What would the price be in October if it decreased by another 10% from September?
2. If the holiday had a further 15% increase after September, what would the new price be?
3. How much would the holiday cost if it had a cumulative 10% discount applied after the September price?
4. What would be the total percentage change from July to September considering both increases and decreases?
5. How would the August price change if the initial July price were £600 instead of £500?

**Tip:** Understanding percentage increase and decrease is crucial for solving problems involving price changes over time.

Learn how to calculate the percentage decrease from the August price to the September price after a 25% increase in August. This problem covers key mathematical concepts of percentage change and is suitable for students in Grades 6-8.

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