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The problem states:

- All normal prices are reduced by **18%** in a sale.
- Mandy pays **£12.71** for a hat during the sale.

We need to calculate the normal (original) price of the hat.

### Solution:

Let the normal price of the hat be **P**.

The sale price, which is £12.71, represents 82% of the normal price (since 100% - 18% = 82%).

We can write the equation:
\[
0.82 \times P = 12.71
\]

To find the normal price \( P \), we divide both sides of the equation by 0.82:
\[
P = \frac{12.71}{0.82}
\]

Let me calculate that.The normal (original) price of the hat is **£15.50**.

Would you like further details or have any other questions?

Here are five related questions to expand on this:

1. What would the sale price be if the discount was 25% instead of 18%?
2. How much money did Mandy save by purchasing the hat during the sale?
3. If Mandy bought two hats, how much would she have paid before and after the discount?
4. What percentage of her savings would Mandy have spent if the discount was reduced to 10%?
5. How would the final price change if the VAT (value-added tax) was added after the discount?

**Tip:** When dealing with percentage problems, always remember to convert percentages to decimals by dividing by 100 before using them in calculations.

In a sale all the normal prices are reduced by 18%. In the sale Mandy pays £12.71 for a hat. Calculate the normal price of the hat.

Learn how to calculate the normal price of a hat when it's sold at a discounted price of £12.71, with an 18% reduction. Follow the steps to solve this percentage problem using key algebraic formulas. Suitable for students in Grades 6-8.

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