Certainly! Let's determine the original price of the watch step by step.
1. Understand the problem:
- The watch was bought for £80 after a 20% reduction in its original price.
- We need to find the original price of the watch.
2. Set up the relationship:
- Let the original price of the watch be \( x \).
- After a 20% reduction, the price was reduced by 20% of \( x \).
3. Translate the percentage reduction into an equation:
- A 20% reduction in price means that the watch is sold at 80% of its original price.
4. Formulate the equation:
- The reduced price is 80% of the original price \( x \), which can be written as:
[tex]\[
0.8 \times x = 80
\][/tex]
5. Solve for \( x \):
- To isolate \( x \), divide both sides of the equation by 0.8:
[tex]\[
x = \frac{80}{0.8}
\][/tex]
6. Calculate the value:
- Performing the division, we get:
[tex]\[
x = 100
\][/tex]
Therefore, the original price of the watch is £100.
