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The problem states:

"In a sale, normal prices are reduced by 18%. The sale price of an umbrella is £25.83. Work out the normal price of the umbrella."

To solve this:

Let the normal price of the umbrella be \( P \).

The price was reduced by 18%, so the sale price is 82% of the normal price:
\[
\text{Sale price} = 0.82 \times P
\]
We are given that the sale price is £25.83, so:
\[
25.83 = 0.82 \times P
\]
Now, solve for \( P \):
\[
P = \frac{25.83}{0.82}
\]

Let me calculate that for you.The normal price of the umbrella before the 18% reduction was £31.50.

Would you like further details on this calculation or have any questions? Here are some related questions to think about:

1. What would the sale price be if the normal price was £50?
2. How would the normal price change if the sale price was reduced by 25% instead of 18%?
3. What is the percentage discount if the sale price of an item is £40 and the normal price is £50?
4. If an item costs £35 after a 20% discount, what was the original price?
5. How can you express the final price after a discount in terms of a percentage of the original price?

**Tip:** To reverse a percentage decrease, divide the reduced price by (1 - the percentage as a decimal).

In a sale, normal prices are reduced by 18%. The sale price of an umbrella is £25.83. Work out the normal price of the umbrella.

Learn how to calculate the original price of an umbrella when the sale price is £25.83 after an 18% discount. This problem involves key mathematical concepts such as percentages and reverse calculations, making it suitable for students in Grades 6-8.

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